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Rowan Cockett 7976e9a498 Serialize the Properties. 2016-02-09 14:20:44 -08:00
Rowan Cockett ffffcb4b7b Initial work on pickling for #226 2016-02-09 13:41:49 -08:00
7 changed files with 43 additions and 217 deletions
-154
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@@ -1,154 +0,0 @@
from SimPEG import *
from SimPEG import EM
from scipy.constants import mu_0
def run(plotIt=True):
"""
EM: FDEM: Effects of susceptibility
===================================
When airborne freqeuncy domain EM (AFEM) survey is flown over
the earth including significantly susceptible bodies (magnetite-rich rocks),
negative data is often observed in the real part of the lowest frequency
(e.g. Dighem system 900 Hz). This phenomenon mostly based upon magnetization
occurs due to a susceptible body when the magnetic field is applied.
To clarify what is happening in the earth when we are exciting the earth with
a loop source in the frequency domain we run three forward modelling:
- F[:math:`\sigma`, :math:`\mu`]: Anomalous conductivity and susceptibility
- F[:math:`\sigma`, :math:`\mu_0`]: Anomalous conductivity
- F[:math:`\sigma_{air}`, :math:`\mu_0`]: primary field
We plot vector magnetic fields in the earth. For secondary fields we provide
F[:math:`\sigma`, :math:`\mu`]-F[:math:`\sigma`, :math:`\mu_0`]. Following
figure show both real and parts.
"""
# Generate Cylindrical mesh
cs, ncx, ncz, npad = 5, 25, 24, 20.
hx = [(cs,ncx), (cs,npad,1.3)]
hz = [(cs,npad,-1.3), (cs,ncz), (cs,npad,1.3)]
mesh = Mesh.CylMesh([hx,1,hz], '00C')
sighalf = 1e-3
sigma = np.ones(mesh.nC)*1e-8
sigmahomo = sigma.copy()
mu = np.ones(mesh.nC)*mu_0
sigma[mesh.gridCC[:,-1]<0.] = sighalf
blkind = np.logical_and(mesh.gridCC[:,0]<30., (mesh.gridCC[:,2]<0)&(mesh.gridCC[:,2]>-150)&(mesh.gridCC[:,2]<-50))
sigma[blkind] = 1e-1
mu[blkind] = mu_0*1.1
offset = 0.
frequency = np.r_[10., 100., 1000.]
rx0 = EM.FDEM.Rx(np.array([[8., 0., 30.]]), 'bzr')
rx1 = EM.FDEM.Rx(np.array([[8., 0., 30.]]), 'bzi')
srcLists = []
nfreq = frequency.size
for ifreq in range(nfreq):
src = EM.FDEM.Src.CircularLoop([rx0, rx1], frequency[ifreq], np.array([[0., 0., 30.]]), radius=5.)
srcLists.append(src)
survey = EM.FDEM.Survey(srcLists)
iMap = Maps.IdentityMap(nP=int(mesh.nC))
# Use PhysPropMap
maps = [('sigma', iMap), ('mu', iMap)]
prob = EM.FDEM.Problem_b(mesh, mapping=maps)
prob.Solver = MumpsSolver
survey.pair(prob)
m = np.r_[sigma, mu]
survey0 = EM.FDEM.Survey(srcLists)
prob0 = EM.FDEM.Problem_b(mesh, mapping=maps)
try:
from pymatsolver import MumpsSolver
prb.Solver = MumpsSolver
except ImportError, e:
prb.Solver = SolverLU
survey0.pair(prob0)
m = np.r_[sigma, mu]
m0 = np.r_[sigma, np.ones(mesh.nC)*mu_0]
m00 = np.r_[np.ones(mesh.nC)*1e-8, np.ones(mesh.nC)*mu_0]
# Anomalous conductivity and susceptibility
F = prob.fields(m)
# Only anomalous conductivity
F0 = prob.fields(m0)
# Primary field
F00 = prob.fields(m00)
if plotIt:
import matplotlib.pyplot as plt
def vizfields(ifreq=0, primsec="secondary",realimag="real"):
titles = ["F[$\sigma$, $\mu$]", "F[$\sigma$, $\mu_0$]", "F[$\sigma$, $\mu$]-F[$\sigma$, $\mu_0$]"]
actind = np.logical_and(mesh.gridCC[:,0]<200., (mesh.gridCC[:,2]>-400)&(mesh.gridCC[:,2]<200))
if primsec=="secondary":
bCCprim = (mesh.aveF2CCV*F00[:,'b'][:,ifreq]).reshape(mesh.nC, 2, order='F')
bCC = (mesh.aveF2CCV*F[:,'b'][:,ifreq]).reshape(mesh.nC, 2, order='F')-bCCprim
bCC0 = (mesh.aveF2CCV*F0[:,'b'][:,ifreq]).reshape(mesh.nC, 2, order='F')-bCCprim
elif primsec=="primary":
bCC = (mesh.aveF2CCV*F[:,'b'][:,ifreq]).reshape(mesh.nC, 2, order='F')
bCC0 = (mesh.aveF2CCV*F0[:,'b'][:,ifreq]).reshape(mesh.nC, 2, order='F')
XYZ = mesh.gridCC[actind,:]
X = XYZ[:,0].reshape((31,43), order='F')
Z = XYZ[:,2].reshape((31,43), order='F')
bx = bCC[actind,0].reshape((31,43), order='F')
bz = bCC[actind,1].reshape((31,43), order='F')
bx0 = bCC0[actind,0].reshape((31,43), order='F')
bz0 = bCC0[actind,1].reshape((31,43), order='F')
bxsec = (bCC[actind,0]-bCC0[actind,0]).reshape((31,43), order='F')
bzsec = (bCC[actind,1]-bCC0[actind,1]).reshape((31,43), order='F')
absbreal = np.sqrt(bx.real**2+bz.real**2)
absbimag = np.sqrt(bx.imag**2+bz.imag**2)
absb0real = np.sqrt(bx0.real**2+bz0.real**2)
absb0imag = np.sqrt(bx0.imag**2+bz0.imag**2)
absbrealsec = np.sqrt(bxsec.real**2+bzsec.real**2)
absbimagsec = np.sqrt(bxsec.imag**2+bzsec.imag**2)
fig = plt.figure(figsize=(15,5))
ax1 = plt.subplot(131)
ax2 = plt.subplot(132)
ax3 = plt.subplot(133)
typefield="real"
scale=20
if realimag=="real":
ax1.contourf(X, Z,np.log10(absbreal), 100)
ax1.quiver(X, Z,bx.real/absbreal,bz.real/absbreal,scale=scale,width=0.005, alpha = 0.5)
ax2.contourf(X, Z,np.log10(absb0real), 100)
ax2.quiver(X, Z,bx0.real/absb0real,bz0.real/absb0real,scale=scale,width=0.005, alpha = 0.5)
ax3.contourf(X, Z,np.log10(absbrealsec), 100)
ax3.quiver(X, Z,bxsec.real/absbrealsec,bzsec.real/absbrealsec,scale=scale,width=0.005, alpha = 0.5)
elif realimag=="imag":
ax1.contourf(X, Z,np.log10(absbimag), 100)
ax1.quiver(X, Z,bx.imag/absbimag,bz.imag/absbimag,scale=scale,width=0.005, alpha = 0.5)
ax2.contourf(X, Z,np.log10(absb0imag), 100)
ax2.quiver(X, Z,bx0.imag/absb0imag,bz0.imag/absb0imag,scale=scale,width=0.005, alpha = 0.5)
ax3.contourf(X, Z,np.log10(absbimagsec), 100)
ax3.quiver(X, Z,bxsec.imag/absbimagsec,bzsec.imag/absbimagsec,scale=scale,width=0.005, alpha = 0.5)
ax = [ax1, ax2, ax3]
ax3.text(30, 50, ("Frequency=%5.2f Hz")%(frequency[ifreq]), color="k", fontsize=18)
ax2.text(30, 50, primsec, color="k", fontsize=18)
ax1.text(30, 50, realimag, color="k", fontsize=18)
for i, axtemp in enumerate(ax):
axtemp.plot(np.r_[0, 29.75], np.r_[-50, -50], 'w', lw=3)
axtemp.plot(np.r_[29.5, 29.5], np.r_[-50, -142.5], 'w', lw=3)
axtemp.plot(np.r_[0, 29.5], np.r_[-142.5, -142.5], 'w', lw=3)
axtemp.plot(np.r_[0, 100.], np.r_[0, 0], 'w', lw=3)
axtemp.set_ylim(-200, 100.)
axtemp.set_xlim(10, 100.)
axtemp.set_title(titles[i])
plt.show()
return fig, ax
fig1, ax1 = vizfields(1, primsec="primary", realimag="real")
fig2, ax2 = vizfields(1, primsec="secondary", realimag="real")
fig4, ax4 = vizfields(1, primsec="secondary", realimag="imag")
if __name__ == '__main__':
run()
+1 -3
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@@ -3,7 +3,6 @@
##### AUTOIMPORTS #####
import EM_FDEM_1D_Inversion
import EM_FDEM_Analytic_MagDipoleWholespace
import EM_FDEM_SusEffects
import EM_TDEM_1D_Inversion
import FLOW_Richards_1D_Celia1990
import Forward_BasicDirectCurrent
@@ -15,9 +14,8 @@ import Mesh_QuadTree_Creation
import Mesh_QuadTree_FaceDiv
import Mesh_QuadTree_HangingNodes
import Mesh_Tensor_Creation
import MT_1D_analytic_nlayer_Earth
__examples__ = ["EM_FDEM_1D_Inversion", "EM_FDEM_Analytic_MagDipoleWholespace", "EM_FDEM_SusEffects", "EM_TDEM_1D_Inversion", "FLOW_Richards_1D_Celia1990", "Forward_BasicDirectCurrent", "Inversion_Linear", "Mesh_Basic_PlotImage", "Mesh_Basic_Types", "Mesh_Operators_CahnHilliard", "Mesh_QuadTree_Creation", "Mesh_QuadTree_FaceDiv", "Mesh_QuadTree_HangingNodes", "Mesh_Tensor_Creation", "MT_1D_analytic_nlayer_Earth"]
__examples__ = ["EM_FDEM_1D_Inversion", "EM_FDEM_Analytic_MagDipoleWholespace", "EM_TDEM_1D_Inversion", "FLOW_Richards_1D_Celia1990", "Forward_BasicDirectCurrent", "Inversion_Linear", "Mesh_Basic_PlotImage", "Mesh_Basic_Types", "Mesh_Operators_CahnHilliard", "Mesh_QuadTree_Creation", "Mesh_QuadTree_FaceDiv", "Mesh_QuadTree_HangingNodes", "Mesh_Tensor_Creation"]
##### AUTOIMPORTS #####
-14
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@@ -990,18 +990,4 @@ class ProjectedGNCG(BFGS, Minimize, Remember):
cgFlag = 1
# End CG Iterations
# Take a gradient step on the active cells if exist
if temp != self.xc.size:
rhs_a = (Active) * -self.g
dm_i = max( abs( delx ) )
dm_a = max( abs(rhs_a) )
delx = delx + rhs_a * dm_i / dm_a /10.
# Only keep gradients going in the right direction on the active set
indx = ((self.xc<=self.lower) & (delx < 0)) | ((self.xc>=self.upper) & (delx > 0))
delx[indx] = 0.
return delx
+36 -1
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@@ -12,6 +12,7 @@ class Property(object):
# Set the default after all other params are set
self.doc = doc
Utils.setKwargs(self, **kwargs)
self._kwargs = kwargs
@property
def propertyLink(self):
@@ -110,6 +111,11 @@ class Property(object):
return getattr(self.propMap, '_%sMap'%prop.name, None)
return property(fget=fget)
def toJSON(self):
out = dict(doc=self.doc)
for k in self._kwargs:
out[k] = self._kwargs[k]
return out
class PropModel(object):
@@ -189,6 +195,12 @@ class _PropMapMetaClass(type):
return type(name.replace('PropMap', 'PropModel'), (PropModel, ), attrs)
def fromPickle(name, properties, maps, slices):
attrs = dict()
for p in properties:
attrs[p] = Property(**properties[p])
PM = type(name, (PropMap,), attrs)
return PM(dict(maps=maps, slices=slices))
class PropMap(object):
__metaclass__ = _PropMapMetaClass
@@ -197,6 +209,7 @@ class PropMap(object):
"""
PropMap takes a multi parameter model and maps it to the equivalent PropModel
"""
if type(mappings) is dict:
assert np.all([k in ['maps', 'slices'] for k in mappings]), 'Dict must only have properties "maps" and "slices"'
self.setup(mappings['maps'], slices=mappings['slices'])
@@ -239,7 +252,11 @@ class PropMap(object):
setattr(self, '%sMap'%name, mapping)
setattr(self, '%sIndex'%name, slices.get(name, slice(nP, nP + mapping.nP)))
nP += mapping.nP
self.nP = nP
self._maps = maps
self._slices = slices
self.nP = nP
@property
def defaultInvProp(self):
@@ -253,9 +270,27 @@ class PropMap(object):
setattr(self, '%sMap'%name, None)
setattr(self, '%sIndex'%name, None)
self._maps = None
self._slices = None
def __call__(self, vec):
return self.PropModel(self, vec)
def __contains__(self, val):
activeMaps = [name for name in self._properties if getattr(self, '%sMap'%name) is not None]
return val in activeMaps
def __reduce__(self):
import cPickle
props = dict()
for p in self._properties:
props[p] = self._properties[p].toJSON()
className = self.__class__.__name__
pickledMaps = []
for name, mapping in self._maps:
pickledMaps += [name, cPickle.dumps(mapping)]
return (fromPickle, (className, props, self._maps, self._slices))
+2 -2
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@@ -65,8 +65,8 @@ def setKwargs(obj, ignore=[], **kwargs):
else:
raise Exception('%s attr is not recognized' % attr)
hook(obj,hook, silent=True)
hook(obj,setKwargs, silent=True)
# hook(obj,hook, silent=True)
# hook(obj,setKwargs, silent=True)
def printTitles(obj, printers, name='Print Titles', pad=''):
titles = ''
-41
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@@ -1,41 +0,0 @@
.. _examples_EM_FDEM_SusEffects:
.. --------------------------------- ..
.. ..
.. THIS FILE IS AUTO GENEREATED ..
.. ..
.. SimPEG/Examples/__init__.py ..
.. ..
.. --------------------------------- ..
EM: FDEM: Effects of susceptibility
===================================
When airborne freqeuncy domain EM (AFEM) survey is flown over
the earth including significantly susceptible bodies (magnetite-rich rocks),
negative data is often observed in the real part of the lowest frequency
(e.g. Dighem system 900 Hz). This phenomenon mostly based upon magnetization
occurs due to a susceptible body when the magnetic field is applied.
To clarify what is happening in the earth when we are exciting the earth with
a loop source in the frequency domain we run three forward modelling:
- F[:math:`\sigma`, :math:`\mu`]: Anomalous conductivity and susceptibility
- F[:math:`\sigma`, :math:`\mu_0`]: Anomalous conductivity
- F[:math:`\sigma_{air}`, :math:`\mu_0`]: primary field
We plot vector magnetic fields in the earth. For secondary fields we provide
F[:math:`\sigma`, :math:`\mu`]-F[:math:`\sigma`, :math:`\mu_0`]. Following
figure show both real and parts.
.. plot::
from SimPEG import Examples
Examples.EM_FDEM_SusEffects.run()
.. literalinclude:: ../../SimPEG/Examples/EM_FDEM_SusEffects.py
:language: python
:linenos:
+4 -2
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@@ -1,6 +1,7 @@
import unittest
from SimPEG import *
from scipy.constants import mu_0
import cPickle
class MyPropMap(Maps.PropMap):
@@ -28,9 +29,10 @@ class TestPropMaps(unittest.TestCase):
PM3 = MyPropMap({'maps':[('sigma', expMap)], 'slices':{'sigma':slice(0,3)}})
for PM in [PM1,PM2,PM3]:
PM = cPickle.loads( cPickle.dumps(PM) )
assert PM.defaultInvProp == 'sigma'
assert PM.sigmaMap is not None
assert PM.sigmaMap is expMap
assert PM.sigmaMap.__class__ is expMap.__class__
assert PM.sigmaIndex == slice(0,3)
assert getattr(PM, 'sigma', None) is None
assert PM.muMap is None
@@ -52,7 +54,7 @@ class TestPropMaps(unittest.TestCase):
assert m.muDeriv is None
assert np.all(m.sigmaModel == np.r_[1.,2,3])
assert m.sigmaMap is expMap
assert m.sigmaMap.__class__ is expMap.__class__
assert np.all(m.sigma == np.exp(np.r_[1.,2,3]))
assert m.sigmaDeriv is not None