Mesh2Mesh and Combo Map examples.

Also fixed plotting codes to show the plots by default.
This commit is contained in:
Rowan Cockett
2016-06-26 17:07:07 -06:00
parent 303da372aa
commit ba173674ec
10 changed files with 215 additions and 47 deletions
+4 -43
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@@ -63,26 +63,8 @@ done by the :class:`SimPEG.Maps.ExpMap` described above.
.. plot::
from SimPEG import *
import matplotlib.pyplot as plt
M = Mesh.TensorMesh([7,5])
v1dMap = Maps.SurjectVertical1D(M)
expMap = Maps.ExpMap(M)
myMap = expMap * v1dMap
m = np.r_[0.2,1,0.1,2,2.9] # only 5 model parameters!
sig = myMap * m
figs, axs = plt.subplots(1,2)
axs[0].plot(m, M.vectorCCy, 'b-o')
axs[0].set_title('Model')
axs[0].set_ylabel('Depth, y')
axs[0].set_xlabel('Value, $m_i$')
axs[0].set_xlim(0,3)
axs[0].set_ylim(0,1)
clbar = plt.colorbar(M.plotImage(sig,ax=axs[1],grid=True,gridOpts=dict(color='grey'))[0])
axs[1].set_title('Physical Property')
axs[1].set_ylabel('Depth, y')
clbar.set_label('$\sigma = \exp(\mathbf{P}m)$')
plt.tight_layout()
from SimPEG import Examples
Examples.Maps_ComboMaps.run()
If you noticed, it was pretty easy to combine maps. What is even cooler is
that the derivatives also are made for you (if everything goes right).
@@ -167,31 +149,10 @@ Map 2D Cross-Section to 3D Model
Mesh to Mesh Map
----------------
.. plot::
from SimPEG import *
import matplotlib.pyplot as plt
M = Mesh.TensorMesh([100,100])
h1 = Utils.meshTensor([(6,7,-1.5),(6,10),(6,7,1.5)])
h1 = h1/h1.sum()
M2 = Mesh.TensorMesh([h1,h1])
V = Utils.ModelBuilder.randomModel(M.vnC, seed=79, its=50)
v = Utils.mkvc(V)
modh = Maps.Mesh2Mesh([M,M2])
modH = Maps.Mesh2Mesh([M2,M])
H = modH * v
h = modh * H
ax = plt.subplot(131)
M.plotImage(v, ax=ax)
ax.set_title('Fine Mesh (Original)')
ax = plt.subplot(132)
M2.plotImage(H,clim=[0,1],ax=ax)
ax.set_title('Course Mesh')
ax = plt.subplot(133)
M.plotImage(h,clim=[0,1],ax=ax)
ax.set_title('Fine Mesh (Interpolated)')
plt.show()
from SimPEG import Examples
Examples.Maps_Mesh2Mesh.run()
.. autoclass:: SimPEG.Maps.Mesh2Mesh
+26
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@@ -0,0 +1,26 @@
.. _examples_Inversion_IRLS:
.. --------------------------------- ..
.. ..
.. THIS FILE IS AUTO GENEREATED ..
.. ..
.. SimPEG/Examples/__init__.py ..
.. ..
.. --------------------------------- ..
Inversion: Linear Problem
=========================
Here we go over the basics of creating a linear problem and inversion.
.. plot::
from SimPEG import Examples
Examples.Inversion_IRLS.run()
.. literalinclude:: ../../../SimPEG/Examples/Inversion_IRLS.py
:language: python
:linenos:
+48
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@@ -0,0 +1,48 @@
.. _examples_Maps_ComboMaps:
.. --------------------------------- ..
.. ..
.. THIS FILE IS AUTO GENEREATED ..
.. ..
.. SimPEG/Examples/__init__.py ..
.. ..
.. --------------------------------- ..
Maps: ComboMaps
===============
We will use an example where we want a 1D layered earth as
our model, but we want to map this to a 2D discretization to do our forward
modeling. We will also assume that we are working in log conductivity still,
so after the transformation we want to map to conductivity space.
To do this we will introduce the vertical 1D map (:class:`SimPEG.Maps.SurjectVertical1D`),
which does the first part of what we just described. The second part will be
done by the :class:`SimPEG.Maps.ExpMap` described above.
.. code-block:: python
:linenos:
M = Mesh.TensorMesh([7,5])
v1dMap = Maps.SurjectVertical1D(M)
expMap = Maps.ExpMap(M)
myMap = expMap * v1dMap
m = np.r_[0.2,1,0.1,2,2.9] # only 5 model parameters!
sig = myMap * m
If you noticed, it was pretty easy to combine maps. What is even cooler is
that the derivatives also are made for you (if everything goes right).
Just to be sure that the derivative is correct, you should always run the test
on the mapping that you create.
.. plot::
from SimPEG import Examples
Examples.Maps_ComboMaps.run()
.. literalinclude:: ../../../SimPEG/Examples/Maps_ComboMaps.py
:language: python
:linenos:
+27
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@@ -0,0 +1,27 @@
.. _examples_Maps_Mesh2Mesh:
.. --------------------------------- ..
.. ..
.. THIS FILE IS AUTO GENEREATED ..
.. ..
.. SimPEG/Examples/__init__.py ..
.. ..
.. --------------------------------- ..
Maps: Mesh2Mesh
===============
This mapping allows you to go from one mesh to another.
.. plot::
from SimPEG import Examples
Examples.Maps_Mesh2Mesh.run()
.. literalinclude:: ../../../SimPEG/Examples/Maps_Mesh2Mesh.py
:language: python
:linenos: