Rotation of a grid

This notebook is to show the ability of ArchPy to use a rotated grid

Create a reference model

Here an ArchPy reference model is created and used to generate a set of data (boreholes, DEM, geological map) that will be used as inputs to a smaller rotated model

[1]:

import numpy as np
import matplotlib
from matplotlib import colors
import matplotlib.pyplot as plt
import geone
import geone.covModel as gcm
import geone.imgplot3d as imgplt3
import pyvista as pv
pv.set_jupyter_backend('static')
import sys

#For loading ArchPy, the path where ArchPy is must be added with sys
sys.path.append("../../")
#my modules
from ArchPy.base import * #ArchPy main functions
from ArchPy.tpgs import * #Truncated plurigaussians

[2]:

#creating the grid

#grid
sx = 0.3
sy = 0.3
sz = .15
# x1 = 20
# y1 = 10
# z1 = -6
x0 = 0
y0 = 0
z0 = -15
nx = 200
ny = 100
nz = 62
x1 = x0 + sx*nx
y1 = y0 + sy*ny
z1 = z0 + sz*nz

#coordinates vectors
xg = np.linspace(x0,x1,nx+1)
yg = np.linspace(y0,y1,ny+1)
zg = np.linspace(z0,z1,nz+1)

dimensions = (nx, ny, nz)
spacing = (sx, sy, sz)
origin = (x0, y0, z0)

#setting a top and a bot
top = np.ones([ny,nx])*-6
bot = np.ones([ny,nx])*z0

[3]:

## setup TPGs for D unit

#flag
#thresholds
t2g1 = -0.3
t3g1 = .3
t1g2 = 0
t2g2 = 0.5

#dictionnaries show where a certain facies is present.
# The structure is a list of list containing 2 tuples of size 2 that indicates the limits of the gaussian fields
# e.g. [[(lower_boundary1_g1,upper_boundary1_g1),(lower_boundary1_g2,upper_boundary1_g2)]] --> this indicates one cuboid and multiple can be defined
dic1 = [[(-np.inf,t2g1),(-np.inf,t1g2)]] # this facies is present between -inf to -0.3 of the 1st gaussian field and between -inf to 0 of the 2
dic2 = [[(t3g1,np.inf),(-np.inf,t2g2)]]
dic3 = [[(-np.inf,t2g1),(t1g2,np.inf)]]
dic4 = [[(t2g1,t3g1),(-np.inf,np.inf)],[(t3g1,np.inf),(t2g2,np.inf)]]

flag = {1:dic1,
        2:dic2,
        3:dic3,
        5:dic4}


plt.figure(figsize=(12,5))
plt.subplot(1,2,1)
plot_flag(flag,alpha=.7)
plt.title("Flag in Gaussian space")

plt.subplot(1,2,2)
plot_flag(Gspace2Pspace(flag),alpha=.7)
plt.title("Flag in proba space")

## Gaussian random fields covariance models
G1 = gcm.CovModel3D(elem=[("cubic",{"w":1.,"r":[5.,5.,2.]}),
                         ("nugget",{"w":0.0})],name="G1")
G2 = gcm.CovModel3D(elem=[("spherical",{"w":1.,"r":[10.,10.,5.]}),
                         ("nugget",{"w":0.0})],name="G2",alpha=30)
G_cm = [G1,G2]
../_images/notebooks_example_4_0.png

A Training image is loaded to be used to fill a unit of the model with MPS method

[4]:

# load TI
TI_B = "../../data/TIs/channels3D/ti_channels3D_4f_100x100x60.vtk"
TI_B = geone.img.readImageVtk(TI_B)

#in this example B has four facies which have as ID (1,2,3,5)
TI_B.val = Arr_replace(TI_B.val,{0:3,1:1,2:2,3:5})

Create units

Four units are created. It is quite similar to the example 3 of the ArchPy list of tutorial “01_basic”

[5]:

# local proportions for MPS simulation

Z,Y,X = np.meshgrid(zg[:-1],yg[:-1],xg[:-1],indexing='ij')  # meshgrid for the center of the cells

p3_min = 0.1
p3_max = 0.35
p0_min = 0.05
p0_max = 0.15

p3 = (X[:, :, ::-1]/X.max())*(p3_max-p3_min)+p3_min
p3[:,80:,90:] = 0
p3[:,:20,90:] = 0
p1 = 0.8*p3.copy()
p0 = (X[:, :, ::-1]/X.max())*(p0_max-p0_min)+p0_min
p0[:,80:,90:] = 0
p0[:,:20,90:] = 0
p2 = 1 - p0 - p1 - p3

nclass= 4
local_pdf = np.zeros((nclass,nz,ny,nx))
local_pdf[0] = p0
local_pdf[1] = p1
local_pdf[2] = p2
local_pdf[3] = p3

[6]:

plt.imshow(local_pdf[0][0])

[6]:

<matplotlib.image.AxesImage at 0x1ab9d54be50>
../_images/notebooks_example_9_1.png 
[7]:

# D unit

covmodelD = gcm.CovModel2D(elem=[('cubic', {'w':0.6, 'r':[6,6]})])
dic_s_D = {"int_method" : "grf_ineq","covmodel" : covmodelD, "mean":-5}
dic_f_D = {"f_method" : "TPGs","Flag" : flag,"G_cm":G_cm,"grf_method":"sgs"}
D = Unit(name="D",order=1,ID = 1,color="gold",contact="onlap",surface=Surface(contact="onlap",dic_surf=dic_s_D)
         ,dic_facies=dic_f_D)

covmodelC = gcm.CovModel2D(elem=[('cubic', {'w':0.3, 'r':[8,8]})])
dic_s_C = {"int_method" : "grf_ineq","covmodel" : covmodelC, "mean":-6}


# C unit
covmodel_SIS_C1 = gcm.CovModel3D(elem=[("exponential",{"w":.25,"r":[10, 10, 3]})], alpha=0, name="vario_SIS") # input variogram
covmodel_SIS_C2 = gcm.CovModel3D(elem=[("exponential",{"w":.21,"r":[20, 20, 5]})], alpha=45, beta=30, name="vario_SIS") # input variogram
lst_covmodelC=[covmodel_SIS_C1, covmodel_SIS_C2] # list of covmodels to pass at the function

dic_f_C = {"f_method" : "SIS","neig" : 10,"f_covmodel":lst_covmodelC} #facies dic (params)
C = Unit(name="C",
         order=2,
         ID = 2,
         color="blue",
         contact="onlap",
         dic_facies=dic_f_C,
         surface=Surface(dic_surf=dic_s_C,contact="onlap")
        )

#B unit
covmodelB = gcm.CovModel2D(elem=[('cubic', {'w':0.6, 'r':[6,6]})])
dic_s_B = {"int_method" : "grf_ineq","covmodel" : covmodelB, "mean":-10}
dic_f_B = {"f_method":"MPS", "TI":TI_B, "xr":0.5,"yr":0.5,"zr":1, "maxscan":0.01, "thresh":0.1,
           "rot_usage":1, "rotAzi":90, "probability":(0.33,0.37,0.2,0.1),"localPdf":local_pdf, "probaUsage":2}
B = Unit(name="B",
         order=3,
         ID = 3,
         color="green",
         contact="onlap",
         dic_facies=dic_f_B,
         surface=Surface(contact="onlap",dic_surf=dic_s_B)
        )

covmodel_er = gcm.CovModel2D(elem=[('spherical', {'w':1, 'r':[10,10]})])
dic_s_A = {"int_method":"grf_ineq","covmodel": covmodel_er, "mean":-13}
dic_f_A = {"f_method":"homogenous"}
A = Unit(name="A",
         order=4,
         ID = 4,
         color="red",
         contact="onlap",
         dic_facies=dic_f_A,
         surface=Surface(dic_surf = dic_s_A,contact="erode"))

Unit D: Surface added for interpolation
Unit C: Surface added for interpolation
Unit B: TI added
Unit B: Surface added for interpolation
Unit A: Surface added for interpolation

[8]:

#Master pile
P1 = Pile(name="P1")
P1.add_unit([D,C,B,A])

Stratigraphic unit D added ✅
Stratigraphic unit C added ✅
Stratigraphic unit B added ✅
Stratigraphic unit A added ✅

Facies and properties

[9]:

#Facies
facies_1 = Facies(ID = 1,name="Sand",color="yellow")
facies_2 = Facies(ID = 2,name="Gravel",color="lightgreen")
facies_3 = Facies(ID = 3,name="GM",color="blueviolet")
facies_4 = Facies(ID = 4,name="Clay",color="blue")
facies_5 = Facies(ID = 5,name="SM",color="brown")
facies_6 = Facies(ID = 6,name="Silt",color="goldenrod")
facies_7 = Facies(ID = 7,name="basement",color="red")

A.add_facies([facies_7])
B.add_facies([facies_1,facies_2,facies_3,facies_5])
D.add_facies([facies_1,facies_2,facies_3,facies_5])
C.add_facies([facies_4,facies_6])


# covmodels for the property model
covmodelK = gcm.CovModel3D(elem=[("exponential",{"w":0.3,"r":[5,5,1]})],alpha=-20,name="K_vario")
covmodelK2 = gcm.CovModel3D(elem=[("spherical",{"w":0.1,"r":[3,3,1]})],alpha=0,name="K_vario_2")
covmodelPoro = gcm.CovModel3D(elem=[("exponential",{"w":0.005,"r":[5,5,5]})],alpha=0,name="poro_vario")

permea = Prop("K",[facies_1,facies_2,facies_3,facies_4,facies_5,facies_6,facies_7],
                  [covmodelK2,covmodelK,covmodelK,None,covmodelK2,covmodelK,None],
                  means=[-3.5,-2,-4.5,-8,-5.5,-6.5,-10],
                  int_method = ["sgs","sgs","sgs","homogenous","sgs","sgs","homogenous"],
                  def_mean=-5)
poro = Prop("Porosity",
            [facies_1,facies_3,facies_4],
            [covmodelPoro,covmodelPoro,covmodelPoro],
             means = [0.4,0.3,0.2],
             int_method = ["sgs","sgs","sgs"],
             def_mean=0.3,
             vmin=0)

Facies basement added to unit A ✅
Facies Sand added to unit B ✅
Facies Gravel added to unit B ✅
Facies GM added to unit B ✅
Facies SM added to unit B ✅
Facies Sand added to unit D ✅
Facies Gravel added to unit D ✅
Facies GM added to unit D ✅
Facies SM added to unit D ✅
Facies Clay added to unit C ✅
Facies Silt added to unit C ✅

[10]:

ws = "workspace_ref" #working directory
T1 = Arch_table(name = "Example_rotation_ref", seed=1, working_directory=ws)
T1.set_Pile_master(P1) #setting master pile
T1.add_grid(dimensions, spacing, origin, top=top,bot=bot) #grid
T1.rem_all_bhs() #remove previous boreholes if any (not useful in this example)
T1.add_prop([permea, poro]) #add properties

Pile sets as Pile master
## Adding Grid ##
## Grid added and is now simulation grid ##
Standard boreholes removed
Fake boreholes removed
Geological map boreholes removed
Property K added
Property Porosity added

[11]:

T1.get_sp(facies_kws=["TI", "probability", "localPdf"])[0]

[11]:
  name contact int_method filling_method list_facies TI probability localPdf
0 D onlap grf_ineq TPGs [Sand, Gravel, GM, SM] None None None
1 C onlap grf_ineq SIS [Clay, Silt] None None None
2 B onlap grf_ineq MPS [Sand, Gravel, GM, SM] (0.33, 0.37, 0.2, 0.1)
3 A erode grf_ineq homogenous [basement] None None None 
[12]:

T1.get_sp()[1]

[12]:
  name property mean covmodels
0 Sand K -3.500000 0: sph (w: 0.1, r: [3, 3, 1])
1 Sand Porosity 0.400000 0: exp (w: 0.005, r: [5, 5, 5])
2 Gravel K -2.000000 0: exp (w: 0.3, r: [5, 5, 1])
3 GM K -4.500000 0: exp (w: 0.3, r: [5, 5, 1])
4 GM Porosity 0.300000 0: exp (w: 0.005, r: [5, 5, 5])
5 SM K -5.500000 0: sph (w: 0.1, r: [3, 3, 1])
6 Clay K -8.000000 None
7 Clay Porosity 0.200000 0: exp (w: 0.005, r: [5, 5, 5])
8 Silt K -6.500000 0: exp (w: 0.3, r: [5, 5, 1])
9 basement K -10.000000 None 
[13]:

T1.compute_surf(1)

Boreholes not processed, fully unconditional simulations will be tempted
########## PILE P1 ##########
Pile P1: ordering units
Stratigraphic units have been sorted according to order

#### COMPUTING SURFACE OF UNIT A
A: time elapsed for computing surface 0.02492070198059082 s

#### COMPUTING SURFACE OF UNIT B
B: time elapsed for computing surface 0.04014134407043457 s

#### COMPUTING SURFACE OF UNIT C
C: time elapsed for computing surface 0.021489381790161133 s

#### COMPUTING SURFACE OF UNIT D
D: time elapsed for computing surface 0.0 s

Time elapsed for getting domains 0.014207601547241211 s
##########################


### 0.12105941772460938: Total time elapsed for computing surfaces ###

[14]:

T1.plot_units()
../_images/notebooks_example_18_0.png 
[15]:

T1.compute_facies(1)


### Unit D: facies simulation with TPGs method ####
### Unit D - realization 0 ###
Time elapsed 0.58 s

### Unit C: facies simulation with SIS method ####
### Unit C - realization 0 ###
Time elapsed 1.04 s

### Unit B: facies simulation with MPS method ####
### Unit B - realization 0 ###
Time elapsed 7.79 s

### Unit A: facies simulation with homogenous method ####
### Unit A - realization 0 ###
Time elapsed 0.0 s

### 9.41: Total time elapsed for computing facies ###

[16]:

geone.__version__

[16]:

'1.2.18'

[17]:

T1.plot_facies(inside_units=[B])
../_images/notebooks_example_21_0.png 
[18]:

# make a geological map
gmap = T1.compute_geol_map()

plt.figure(figsize=(10,10))
plt.imshow(gmap,origin="lower",cmap="viridis")
plt.colorbar()

# make a raster file
import rasterio
from rasterio.transform import from_origin
from rasterio.plot import show
from rasterio import plot

# Define lower left corner coordinates
xllcorner = x0
yllcorner = y0


# Create the raster file
new_dataset = rasterio.open('geol_map.tif', 'w', driver='GTiff',
                            height = gmap.shape[0], width = gmap.shape[1],
                            transform=from_origin(xllcorner, yllcorner, sx, -sy)
                            ,count=1,dtype=str(gmap.dtype),)

new_dataset.write(gmap, 1)
new_dataset.close()
../_images/notebooks_example_22_0.png

Create boreholes from the reference model and setup a new model with a rotated grid

First, fake boreholes are created from the reference model using the function make_fake_bh() which takes as entry the x and y positions of the boreholes

[19]:

import ArchPy

[20]:

np.random.seed(115)
n=50

x_positions=(np.random.random(size=n) - x0)*x1
y_positions=(np.random.random(size=n) - y0)*y1
l_bhs=T1.make_fake_bh(x_positions, y_positions)[0][0]

for i in range(n):
    l_bhs[i].set_ID(l_bhs[i].ID + str(i))

Let us first setup the grid parameter of the new model and see how it looks on the map

[21]:

# new model

# grid
nx2 = 215
ny2 = 112
nz2 = 62

Lx2 = 10
Ly2 = 15

ox2 = 25
oy2 = 10

sx2 = Lx2/(nx2)
sy2 = Ly2/(ny2)
sz2 = sz

# rotation
angle = -60

# apply rotation
points = np.array(([ox2, oy2],  [ox2+Lx2, oy2], [ox2+Lx2, oy2+Ly2],[ox2, oy2+Ly2]))

# rotation matrix
np.array([[np.cos(np.deg2rad(angle)), -np.sin(np.deg2rad(angle))],
          [np.sin(np.deg2rad(angle)), np.cos(np.deg2rad(angle))]])

# remove origin
points = points - np.array([ox2, oy2])

# apply rotation
points = np.dot(points, np.array([[np.cos(np.deg2rad(angle)), -np.sin(np.deg2rad(angle))],
                                  [np.sin(np.deg2rad(angle)), np.cos(np.deg2rad(angle))]]))

# add origin
points = points + np.array([ox2, oy2])

[22]:

# plot boundaries of the model
plt.plot((x0,x1,x1,x0,x0),(y0,y0,y1,y1,y0),color="black")

plt.scatter(x_positions,y_positions)

# plot new model
plt.plot((ox2,ox2+Lx2,ox2+Lx2,ox2,ox2),(oy2,oy2,oy2+Ly2,oy2+Ly2,oy2),color="black")

# plot rotated model
plt.plot([points[0, 0], points[1, 0], points[2, 0], points[3, 0], points[0, 0]],
            [points[0, 1], points[1, 1], points[2, 1], points[3, 1], points[0, 1]], 'r')

plt.axis("equal")

[22]:

(-3.0, 63.0, -1.5, 31.5)
../_images/notebooks_example_28_1.png 
[23]:

dimensions2 = (nx2, ny2, nz2)
spacing2 = (sx2, sy2, sz2)
origin2 = (ox2, oy2, z0)

[24]:

top2 = np.ones([ny2,nx2])*-6
bot2 = np.ones([ny2,nx2])*z0

[25]:

# create new model
T2 = Arch_table(name = "Example_rotation", seed=1, working_directory=ws)

T2.set_Pile_master(P1) #setting master pile

T2.add_grid((nx2, ny2, nz2), (sx2, sy2, sz2), (ox2, oy2, z0), top = top2, bot=bot2, rotation_angle=-angle) #grid

T2.rem_all_bhs() #remove previous boreholes if any (not useful in this example)

T2.add_bh(l_bhs) #add boreholes

Pile sets as Pile master
## Adding Grid ##
## Grid added and is now simulation grid ##
Standard boreholes removed
Fake boreholes removed
Geological map boreholes removed
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Borehole fake1 outside of the simulation zone - not added -
Borehole fake2 goes below model limits, borehole fake2 depth cut
Borehole fake2 added
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Borehole fake3 outside of the simulation zone - not added -
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Borehole fake4 outside of the simulation zone - not added -
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Borehole fake5 outside of the simulation zone - not added -
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Borehole fake6 outside of the simulation zone - not added -
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Borehole fake7 outside of the simulation zone - not added -
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Borehole fake8 outside of the simulation zone - not added -
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Borehole fake9 outside of the simulation zone - not added -
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Borehole fake10 outside of the simulation zone - not added -
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Borehole fake11 outside of the simulation zone - not added -
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Borehole fake12 outside of the simulation zone - not added -
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Borehole fake13 outside of the simulation zone - not added -
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Borehole fake14 outside of the simulation zone - not added -
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Borehole fake15 outside of the simulation zone - not added -
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Borehole fake16 outside of the simulation zone - not added -
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Borehole fake17 outside of the simulation zone - not added -
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Borehole fake18 outside of the simulation zone - not added -
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point outside of the grid in x
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point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake19 outside of the simulation zone - not added -
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake20 outside of the simulation zone - not added -
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake21 outside of the simulation zone - not added -
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
Borehole fake22 outside of the simulation zone - not added -
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake23 outside of the simulation zone - not added -
Borehole fake24 goes below model limits, borehole fake24 depth cut
Borehole fake24 added
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake25 outside of the simulation zone - not added -
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
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point outside of the grid in x
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point outside of the grid in x
point outside of the grid in x
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point outside of the grid in x
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point outside of the grid in x
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point outside of the grid in x
point outside of the grid in x
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point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake26 outside of the simulation zone - not added -
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
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point outside of the grid in x
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point outside of the grid in x
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point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
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point outside of the grid in x
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point outside of the grid in x
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point outside of the grid in x
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point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake27 outside of the simulation zone - not added -
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
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point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake28 outside of the simulation zone - not added -
Borehole fake29 goes below model limits, borehole fake29 depth cut
Borehole fake29 added
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
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point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
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point outside of the grid in x
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point outside of the grid in x
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point outside of the grid in x
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point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake30 outside of the simulation zone - not added -
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
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point outside of the grid in x
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point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake31 outside of the simulation zone - not added -
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake32 outside of the simulation zone - not added -
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
Borehole fake33 outside of the simulation zone - not added -
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake34 outside of the simulation zone - not added -
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake35 outside of the simulation zone - not added -
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake36 outside of the simulation zone - not added -
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake37 outside of the simulation zone - not added -
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
Borehole fake38 outside of the simulation zone - not added -
Borehole fake39 goes below model limits, borehole fake39 depth cut
Borehole fake39 added
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
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point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
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point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
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point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake40 outside of the simulation zone - not added -
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
Borehole fake41 outside of the simulation zone - not added -
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
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point outside of the grid in x
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point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake42 outside of the simulation zone - not added -
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
Borehole fake43 outside of the simulation zone - not added -
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake44 outside of the simulation zone - not added -
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake45 outside of the simulation zone - not added -
Borehole fake46 goes below model limits, borehole fake46 depth cut
Borehole fake46 added
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
point outside of the grid in y
Borehole fake47 outside of the simulation zone - not added -
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
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point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake48 outside of the simulation zone - not added -
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
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point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
point outside of the grid in x
Borehole fake49 outside of the simulation zone - not added -

[26]:

for bh in T2.list_bhs:
    plt.scatter(bh.x,bh.y, c="k")

plt.scatter(x_positions,y_positions, s=15, c="g")

plt.plot((ox2,ox2+Lx2,ox2+Lx2,ox2,ox2),(oy2,oy2,oy2+Ly2,oy2+Ly2,oy2),color="black")

# plot rotated model
plt.plot([points[0, 0], points[1, 0], points[2, 0], points[3, 0], points[0, 0]],
            [points[0, 1], points[1, 1], points[2, 1], points[3, 1], points[0, 1]], 'r')

# plt.imshow(T1.compute_geol_map(color=True),origin="lower",cmap="viridis",alpha=.5, extent=(x0,x1,y0,y1))
plt.plot((x0,x1,x1,x0,x0),(y0,y0,y1,y1,y0),color="black")
plt.axis("equal")

[26]:

(-3.0, 63.0, -1.5, 31.5)
../_images/notebooks_example_32_1.png 
[27]:

plt.scatter(T2.xcellcenters,T2.ycellcenters, c="k", s=.5, ec="none")
plt.imshow(T1.compute_geol_map(color=True),origin="lower",cmap="viridis",alpha=.5, extent=(x0,x1,y0,y1))

[27]:

<matplotlib.image.AxesImage at 0x1ac0aeb10d0>
../_images/notebooks_example_33_1.png 
[28]:

T2.add_geological_map("geol_map.tif")

Geological map added

[29]:

import pyvista as pv

p = pv.Plotter(notebook=True)

# T2.plot_geol_map(plotter=p)
T2.plot_bhs(plotter=p)

p.add_bounding_box()

p.show()
../_images/notebooks_example_35_0.png 
[30]:

T2.erase_hd()

Hard data reset

[31]:

T2.process_geological_map(step_uniform=10, typ="uniform")

Geological map extracted - processus ended successfully

[32]:

T2.process_bhs(reprocess=True)

Hard data reset
##### ORDERING UNITS #####
Pile P1: ordering units
Stratigraphic units have been sorted according to order
hierarchical relations set

 ## Computing distributions for Normal Score Transform ##

Processing ended successfully

[33]:

T2.compute_surf(2)

########## PILE P1 ##########
Pile P1: ordering units
Stratigraphic units have been sorted according to order

#### COMPUTING SURFACE OF UNIT A
A: time elapsed for computing surface 0.22049355506896973 s

#### COMPUTING SURFACE OF UNIT B
B: time elapsed for computing surface 0.20766091346740723 s

#### COMPUTING SURFACE OF UNIT C
C: time elapsed for computing surface 0.2158527374267578 s

#### COMPUTING SURFACE OF UNIT D
D: time elapsed for computing surface 0.0 s

Time elapsed for getting domains 0.01836252212524414 s

#### COMPUTING SURFACE OF UNIT A
A: time elapsed for computing surface 0.2185983657836914 s

#### COMPUTING SURFACE OF UNIT B
B: time elapsed for computing surface 0.2078101634979248 s

#### COMPUTING SURFACE OF UNIT C
C: time elapsed for computing surface 0.21155476570129395 s

#### COMPUTING SURFACE OF UNIT D
D: time elapsed for computing surface 0.0 s

Time elapsed for getting domains 0.01665973663330078 s
##########################


### 1.3468573093414307: Total time elapsed for computing surfaces ###

[34]:

T2.plot_units(1)
../_images/notebooks_example_40_0.png

Let’s make a cross-section of our model. There is two solutions:

    1. we provide the list of points in the original coordinate system,

    1. we provide the list of points in the rotated coordinate system. If so, we need to explicitely set rotate (in T2.plot_cross_section) as False because the points are already in the rotated coordinate system.

Here the two options are shown.

Let us first draw a cross-section of the model in the original coordinate system.

[35]:

draw = False

# cross-section

if draw:
    %matplotlib tk
    gmap = T1.compute_geol_map(0, color = True)
    plt.imshow(gmap, origin="lower", extent = [T1.ox, T1.xg[-1], T1.oy, T1.yg[-1]])
    plt.scatter([bh.x for bh in T1.list_bhs], [bh.y for bh in T1.list_bhs], c="k", s= 3)


    # plot rotated model
    plt.plot([points[0, 0], points[1, 0], points[2, 0], points[3, 0], points[0, 0]],
                [points[0, 1], points[1, 1], points[2, 1], points[3, 1], points[0, 1]], 'r')
    plt.plot((x0,x1,x1,x0,x0),(y0,y0,y1,y1,y0),color="black")

    list_p = plt.ginput(n=-1, timeout=0)
    plt.close()

else:
    list_p = [(15.241936452927126, 18.19354954381143),
 (25.28225967191881, 19.040323791196272),
 (24.677420923786777, 12.870968560249574)]

We rotate the points using rotate() function

[36]:

# rotate points
rot_points = np.array(list_p)
rot_points = T2.rotate(rot_points, -T2.rot_angle)

[37]:

list_p

[37]:

[(15.241936452927126, 18.19354954381143),
 (25.28225967191881, 19.040323791196272),
 (24.677420923786777, 12.870968560249574)]

[38]:

rot_points

[38]:

array([[27.21679028, 22.5475057 ],
       [32.9702799 , 14.27571785],
       [27.32504217, 11.71484595]])

A little plot to show the location of the cross-section in the two systems

[39]:

%matplotlib inline
plt.figure(figsize=(5, 15))
plt.imshow(gmap, origin="lower", extent = [T1.ox, T1.xg[-1], T1.oy, T1.yg[-1]])
plt.scatter([bh.x for bh in T2.list_bhs], [bh.y for bh in T2.list_bhs], c="k", s= 3)
plt.plot([i[0] for i in list_p], [i[1] for i in list_p], c="red")
plt.plot([i[0] for i in rot_points], [i[1] for i in rot_points], c="black")

plt.plot((ox2,ox2+Lx2,ox2+Lx2,ox2,ox2),(oy2,oy2,oy2+Ly2,oy2+Ly2,oy2),color="black")

# plot rotated model
plt.plot([points[0, 0], points[1, 0], points[2, 0], points[3, 0], points[0, 0]],
            [points[0, 1], points[1, 1], points[2, 1], points[3, 1], points[0, 1]], 'r')

# plt.imshow(T1.compute_geol_map(color=True),origin="lower",cmap="viridis",alpha=.5, extent=(x0,x1,y0,y1))
plt.plot((x0,x1,x1,x0,x0),(y0,y0,y1,y1,y0),color="black")

[39]:

[<matplotlib.lines.Line2D at 0x1ac5394e510>]
../_images/notebooks_example_48_1.png 
[40]:

%matplotlib inline
plt.figure(figsize=(5, 15))
gmap = T2.compute_geol_map(1, color = True)
plt.imshow(gmap, origin="lower", extent = [T2.ox, T2.xg[-1], T2.oy, T2.yg[-1]])
plt.plot([i[0] for i in rot_points], [i[1] for i in rot_points], c="black")
plt.scatter([bh.x for bh in T2.list_bhs], [bh.y for bh in T2.list_bhs], c="k", s= 3)

[40]:

<matplotlib.collections.PathCollection at 0x1ac539abdd0>
../_images/notebooks_example_49_1.png

Cross-section with points in original coordinate system

[41]:

%matplotlib inline
fig, ax = plt.subplots(figsize=(13, 2), dpi=300)
for iu in range(1):
    T2.plot_cross_section(list_p, iu=iu, ratio_aspect=5, dist_max=2, width=.15, rotate=True, bh_type="units", ax=ax)
    # plt.show()
../_images/notebooks_example_51_0.png

Now with rotated points

[42]:

%matplotlib inline
fig, ax = plt.subplots(figsize=(13, 2), dpi=300)
for iu in range(1):
    T2.plot_cross_section(rot_points, iu=iu, ratio_aspect=5, dist_max=2, width=.15, rotate=False, ax=ax)
    # plt.show()
../_images/notebooks_example_53_0.png

Testing the export and import of the model

[43]:

ArchPy.inputs.save_project(T2)

Warning: Flag argument of unit D is possibly not compatible with the export
Warning: distanceType argument of unit B is possibly not compatible with the export
Project saved successfully

[43]:

True

[44]:

T3 = ArchPy.inputs.import_project(project_name="Example_rotation", ws="workspace_ref")

### IMPORTING PROJECT Example_rotation IN workspace_ref DIRECTORY ###

Unit A: Surface added for interpolation
Facies basement added to unit A ✅
Unit B: TI added
Unit B: Surface added for interpolation
Facies Sand added to unit B ✅
Facies Gravel added to unit B ✅
Facies GM added to unit B ✅
Facies SM added to unit B ✅
Unit C: Surface added for interpolation
Facies Clay added to unit C ✅
Facies Silt added to unit C ✅
Unit D: Surface added for interpolation
Facies Sand added to unit D ✅
Facies Gravel added to unit D ✅
Facies GM added to unit D ✅
Facies SM added to unit D ✅
Stratigraphic unit D added ✅
Stratigraphic unit C added ✅
Stratigraphic unit B added ✅
Stratigraphic unit A added ✅
Pile sets as Pile master
## Adding Grid ##
## Grid added and is now simulation grid ##
Borehole fake2 added
Borehole fake24 added
Borehole fake29 added
Borehole fake39 added
Borehole fake46 added
Geological map added


 ##LOADING RESULTS##


#### Units loaded ####
Facies results file not found
Property results file not found
#### Surfaces loaded ####
#### Bottom surfaces loaded ####
hierarchical relations set


 ### SUCCESSFUL IMPORT ###


[45]:

T3.process_geological_map(step_uniform=5)
T3.process_bhs(reprocess=True)

Geological map extracted - processus ended successfully
Hard data reset
##### ORDERING UNITS #####
Pile P1: ordering units
Stratigraphic units have been sorted according to order
hierarchical relations set
Multiples boreholes ['raster_bh', 'contact_bh'] were found inside the same cell, the deepest will be kept
Multiples boreholes ['raster_bh', 'contact_bh'] were found inside the same cell, the deepest will be kept
Multiples boreholes ['raster_bh', 'contact_bh'] were found inside the same cell, the deepest will be kept
Multiples boreholes ['raster_bh', 'contact_bh'] were found inside the same cell, the deepest will be kept
Multiples boreholes ['raster_bh', 'contact_bh'] were found inside the same cell, the deepest will be kept
Multiples boreholes ['raster_bh', 'contact_bh'] were found inside the same cell, the deepest will be kept
Multiples boreholes ['raster_bh', 'contact_bh'] were found inside the same cell, the deepest will be kept
Multiples boreholes ['raster_bh', 'contact_bh'] were found inside the same cell, the deepest will be kept
Multiples boreholes ['raster_bh', 'contact_bh'] were found inside the same cell, the deepest will be kept

 ## Computing distributions for Normal Score Transform ##

Processing ended successfully

[46]:

T3.compute_surf(2)

########## PILE P1 ##########
Pile P1: ordering units
Stratigraphic units have been sorted according to order

#### COMPUTING SURFACE OF UNIT A
A: time elapsed for computing surface 0.49722790718078613 s

#### COMPUTING SURFACE OF UNIT B
B: time elapsed for computing surface 0.4776432514190674 s

#### COMPUTING SURFACE OF UNIT C
simulate2D: warnings encountered (1 times in all):
#  1: WARNING 02005: inequality has been relaxed for consistency (solving kriging system, inequality)
C: time elapsed for computing surface 0.8424010276794434 s

#### COMPUTING SURFACE OF UNIT D
D: time elapsed for computing surface 0.0 s

Time elapsed for getting domains 0.017108440399169922 s

#### COMPUTING SURFACE OF UNIT A
A: time elapsed for computing surface 0.4973266124725342 s

#### COMPUTING SURFACE OF UNIT B
B: time elapsed for computing surface 0.48927736282348633 s

#### COMPUTING SURFACE OF UNIT C
simulate2D: warnings encountered (1 times in all):
#  1: WARNING 02005: inequality has been relaxed for consistency (solving kriging system, inequality)
C: time elapsed for computing surface 0.8146491050720215 s

#### COMPUTING SURFACE OF UNIT D
D: time elapsed for computing surface 0.0 s

Time elapsed for getting domains 0.01712179183959961 s
##########################


### 3.700707197189331: Total time elapsed for computing surfaces ###

[47]:

T3.plot_units()
../_images/notebooks_example_59_0.png 
[ ]: