Plot Mirrored Cylindrically Symmetric ModelΒΆ

Here, we demonstrate plotting a model on a cylindrically symmetric mesh with the plotting symmetric about x=0.

../_images/sphx_glr_plot_cyl_mirror_001.png
import numpy as np
import matplotlib.pyplot as plt
import discretize


def run(plotIt=True):

    sig_halfspace = 1e-6
    sig_sphere = 1e0
    sig_air = 1e-8

    sphere_z = -50.
    sphere_radius = 30.

    # x-direction
    cs = 1
    nc = np.ceil(2.5*(- (sphere_z-sphere_radius))/cs)

    # define a mesh
    mesh = discretize.CylMesh([[(cs, nc)], 1, [(cs, nc)]], x0='00C')

    # Put the model on the mesh
    sigma = sig_air*np.ones(mesh.nC)  # start with air cells
    sigma[mesh.gridCC[:, 2] < 0.] = sig_halfspace  # cells below the earth

    # indices of the sphere
    sphere_ind = (
        (mesh.gridCC[:, 0]**2 + (mesh.gridCC[:, 2] - sphere_z)**2) <=
        sphere_radius**2
    )
    sigma[sphere_ind] = sig_sphere  # sphere

    if plotIt is False:
        return

    # Plot a cross section through the mesh
    fig, ax = plt.subplots(2, 1)
    # Set a nice colormap!
    plt.set_cmap(plt.get_cmap('viridis'))
    plt.colorbar(mesh.plotImage(np.log10(sigma), ax=ax[0])[0], ax=ax[0])
    ax[0].set_title('mirror = False')
    ax[0].axis('equal')
    ax[0].set_xlim([-200., 200.])

    plt.colorbar(
        mesh.plotImage(np.log10(sigma), ax=ax[1], mirror=True)[0], ax=ax[1]
    )
    ax[1].set_title('mirror = True')
    ax[1].axis('equal')
    ax[1].set_xlim([-200., 200.])

    plt.tight_layout()

if __name__ == '__main__':
    run()
    plt.show()

Total running time of the script: ( 0 minutes 0.195 seconds)

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