# Maps: Parametrized Block in a Layer¶

Parametrized description of a block confined to a layer in a wholespace. The mapping can be applied in 2D or 3D. Here we show a 2D example.

The model is given by

m = np.r_[
'value of the background',
'value in the layer',
'value in the block',
'center of the layer (depth)',
'thickness of the layer',
'x-center of block',
'width of the block'
]

  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 from SimPEG import Mesh, Maps import numpy as np import matplotlib.pyplot as plt def run(plotIt=True): """ Maps: Parametrized Block in a Layer =================================== Parametrized description of a block confined to a layer in a wholespace. The mapping can be applied in 2D or 3D. Here we show a 2D example. The model is given by .. code:: m = np.r_[ 'value of the background', 'value in the layer', 'value in the block', 'center of the layer (depth)', 'thickness of the layer', 'x-center of block', 'width of the block' ] """ mesh = Mesh.TensorMesh([50, 50], x0='CC') # 2D Tensor Mesh mapping = Maps.ParametrizedBlockInLayer(mesh) # mapping m = np.hstack( np.r_[ 1., # value of the background 2., # value in the layer 3., # value in the block -0.1, # center of the layer (depth) 0.2, # thickness of the layer 0.3, # x-center of block 0.2 # width of the block ] ) # apply the mapping to define the physical property on the mesh rho = mapping * m if plotIt is True: fig, ax = plt.subplots(1, 1, figsize=(4, 6)) mesh.plotImage(rho, ax=ax) if __name__ == '__main__': run() plt.show()