.. DO NOT EDIT. .. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY. .. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE: .. "gallery/tutorials/parameter_tests.py" .. LINE NUMBERS ARE GIVEN BELOW. .. only:: html .. note:: :class: sphx-glr-download-link-note Click :ref:`here ` to download the full example code .. rst-class:: sphx-glr-example-title .. _sphx_glr_gallery_tutorials_parameter_tests.py: 06. Parameter tests =================== The modeller ``emg3d`` has quite a few parameters which can influence the speed of a computation. It can be difficult to estimate which is the best setting. In the case that speed is of utmost importance, and a lot of similar models are going to be computed (e.g. for inversions), it might be worth to do some input parameter testing. **IMPORTANT:** None of the conclusions you can draw from these figures are applicable to other models. What is faster depends on your input. Influence has particularly the degree of anisotropy and of grid stretching. These are simply examples that you can adjust for your problem at hand. .. GENERATED FROM PYTHON SOURCE LINES 17-24 .. code-block:: default import emg3d import numpy as np import matplotlib.pyplot as plt from matplotlib.colors import LogNorm plt.style.use('bmh') .. GENERATED FROM PYTHON SOURCE LINES 26-45 .. code-block:: default def plotit(infos, labels): """Simple plotting routine for the tests.""" plt.figure() # Loop over infos. for i, info in enumerate(infos): plt.plot(info['runtime_at_cycle'], info['error_at_cycle']/info1['ref_error'], '.-', label=labels[i]) plt.legend() plt.xlabel('Time (s)') plt.ylabel('Rel. Error $(-)$') plt.yscale('log') plt.show() .. GENERATED FROM PYTHON SOURCE LINES 46-89 .. code-block:: default # Survey zwater = 1000 # Water depth. src = [0, 0, 50-zwater, 0, 0] # Source at origin, 50 m above seafloor. freq = 1.0 # Frequency (Hz). # Mesh grid = emg3d.construct_mesh( frequency=freq, min_width_limits=100, properties=[0.3, 1., 1., 0.3], center=(src[0], src[1], -1000), domain=([-1000, 5000], [-500, 500], [-2500, 0]), center_on_edge=False, ) print(grid) # Source-field sfield = emg3d.get_source_field(grid, source=src, frequency=freq) # Create a simple marine model for the tests. # Layered_background res_x = 1e8*np.ones(grid.shape_cells) # Air res_x[:, :, grid.cell_centers_z <= 0] = 0.3 # Water res_x[:, :, grid.cell_centers_z <= -1000] = 1. # Background # Target xt = np.nonzero((grid.cell_centers_x >= -500) & (grid.cell_centers_x <= 5000))[0] yt = np.nonzero((grid.cell_centers_y >= -1000) & (grid.cell_centers_y <= 1000))[0] zt = np.nonzero((grid.cell_centers_z >= -2100) & (grid.cell_centers_z <= -1800))[0] res_x[xt[0]:xt[-1]+1, yt[0]:yt[-1]+1, zt[0]:zt[-1]+1] = 100 # Create a model instance model_iso = emg3d.Model(grid, property_x=res_x, mapping='Resistivity') # Plot it for QC grid.plot_3d_slicer(model_iso.property_x.ravel('F'), pcolor_opts={'norm': LogNorm()}) .. image-sg:: /gallery/tutorials/images/sphx_glr_parameter_tests_001.png :alt: parameter tests :srcset: /gallery/tutorials/images/sphx_glr_parameter_tests_001.png :class: sphx-glr-single-img .. rst-class:: sphx-glr-script-out .. code-block:: none TensorMesh: 76,800 cells MESH EXTENT CELL WIDTH FACTOR dir nC min max min max max --- --- --------------------------- ------------------ ------ x 80 -4,233.88 9,146.56 100.00 912.68 1.25 y 24 -3,667.19 5,375.78 100.00 1,708.59 1.50 z 40 -5,764.95 1,752.46 100.00 857.19 1.31 .. GENERATED FROM PYTHON SOURCE LINES 90-92 Test 1: F, W, and V MG cycles ----------------------------- .. GENERATED FROM PYTHON SOURCE LINES 92-102 .. code-block:: default inp = {'model': model_iso, 'sfield': sfield, 'return_info': True, 'sslsolver': False, 'semicoarsening': False, 'linerelaxation': False} _, info1 = emg3d.solve(cycle='F', **inp) _, info2 = emg3d.solve(cycle='W', **inp) _, info3 = emg3d.solve(cycle='V', **inp) plotit([info1, info2, info3], ['F-cycle', 'W-cycle', 'V-cycle']) .. image-sg:: /gallery/tutorials/images/sphx_glr_parameter_tests_002.png :alt: parameter tests :srcset: /gallery/tutorials/images/sphx_glr_parameter_tests_002.png :class: sphx-glr-single-img .. GENERATED FROM PYTHON SOURCE LINES 103-105 Test 2: semicoarsening, line-relaxation --------------------------------------- .. GENERATED FROM PYTHON SOURCE LINES 105-116 .. code-block:: default inp = {'model': model_iso, 'sfield': sfield, 'return_info': True, 'sslsolver': False} _, info1 = emg3d.solve(semicoarsening=False, linerelaxation=False, **inp) _, info2 = emg3d.solve(semicoarsening=True, linerelaxation=False, **inp) _, info3 = emg3d.solve(semicoarsening=False, linerelaxation=True, **inp) _, info4 = emg3d.solve(semicoarsening=True, linerelaxation=True, **inp) plotit([info1, info2, info3, info4], ['MG', 'MG+SC', 'MG+LR', 'MG+SC+LR']) .. image-sg:: /gallery/tutorials/images/sphx_glr_parameter_tests_003.png :alt: parameter tests :srcset: /gallery/tutorials/images/sphx_glr_parameter_tests_003.png :class: sphx-glr-single-img .. GENERATED FROM PYTHON SOURCE LINES 117-119 Test 3: MG and BiCGstab ----------------------- .. GENERATED FROM PYTHON SOURCE LINES 119-129 .. code-block:: default inp = {'model': model_iso, 'sfield': sfield, 'return_info': True, 'maxit': 500, 'semicoarsening': True, 'linerelaxation': False} _, info1 = emg3d.solve(cycle='F', sslsolver=False, **inp) _, info2 = emg3d.solve(cycle='F', sslsolver=True, **inp) _, info3 = emg3d.solve(cycle=None, sslsolver=True, **inp) plotit([info1, info2, info3], ['MG', 'MG+BiCGStab', 'BiCGStab']) .. image-sg:: /gallery/tutorials/images/sphx_glr_parameter_tests_004.png :alt: parameter tests :srcset: /gallery/tutorials/images/sphx_glr_parameter_tests_004.png :class: sphx-glr-single-img .. rst-class:: sphx-glr-script-out .. code-block:: none * WARNING :: Error in bicgstab (-10) .. GENERATED FROM PYTHON SOURCE LINES 130-132 Test 4: `nu_init`, `nu_pre`, `nu_coarse`, `nu_post` --------------------------------------------------- .. GENERATED FROM PYTHON SOURCE LINES 132-144 .. code-block:: default inp = {'model': model_iso, 'sfield': sfield, 'return_info': True, 'sslsolver': False, 'semicoarsening': True, 'linerelaxation': False} _, info1 = emg3d.solve(**inp) _, info2 = emg3d.solve(nu_pre=0, **inp) _, info3 = emg3d.solve(nu_post=0, **inp) _, info4 = emg3d.solve(nu_init=2, **inp) plotit([info1, info2, info3, info4], ['{0,2,1,2} (default)', '{0,0,1,2}', '{0,2,1,0}', '{2,1,2,1}']) .. image-sg:: /gallery/tutorials/images/sphx_glr_parameter_tests_005.png :alt: parameter tests :srcset: /gallery/tutorials/images/sphx_glr_parameter_tests_005.png :class: sphx-glr-single-img .. GENERATED FROM PYTHON SOURCE LINES 145-147 .. code-block:: default emg3d.Report() .. raw:: html
Wed Aug 31 21:34:41 2022 CEST
OS Linux CPU(s) 4 Machine x86_64
Architecture 64bit RAM 15.5 GiB Environment Python
File system ext4
Python 3.9.12 | packaged by conda-forge | (main, Mar 24 2022, 23:22:55) [GCC 10.3.0]
numpy 1.22.4 scipy 1.9.0 numba 0.55.2
emg3d 1.8.0 empymod 2.2.0 xarray 2022.6.0
discretize 0.8.2 h5py 3.7.0 matplotlib 3.4.3
tqdm 4.64.0 IPython 8.4.0
Intel(R) oneAPI Math Kernel Library Version 2022.0-Product Build 20211112 for Intel(R) 64 architecture applications


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