geoana.em.tdem.TransientPlaneWave.magnetic_flux_density

TransientPlaneWave.magnetic_flux_density(xyz)

Magnetic flux density for the transient planewave at a set of gridded locations.

Parameters:

xyz(…, 3) numpy.ndarray

Gridded xyz locations

Returns:

(n_t, …, 3) numpy.ndarray of float

Magnetic flux density at all frequencies for the gridded locations provided.

Examples

Here, we define a transient planewave in the x-direction in a wholespace.

>>> from geoana.em.tdem import TransientPlaneWave
>>> import numpy as np
>>> from geoana.utils import ndgrid
>>> from mpl_toolkits.axes_grid1 import make_axes_locatable
>>> import matplotlib.pyplot as plt

Let us begin by defining the transient planewave in the x-direction.

>>> time = 1.0
>>> orientation = 'X'
>>> sigma = 1.0
>>> simulation = TransientPlaneWave(
>>>     time=time, orientation=orientation, sigma=sigma
>>> )

Now we create a set of gridded locations and compute the magnetic flux density.

>>> x = np.linspace(-1, 1, 20)
>>> z = np.linspace(-1000, 0, 20)
>>> xyz = ndgrid(x, np.array([0]), z)
>>> b_vec = simulation.magnetic_flux_density(xyz)
>>> by = b_vec[..., 1]

Finally, we plot the x-oriented magnetic flux density.

>>> plt.pcolor(x, z, by.reshape(20, 20), shading='auto')
>>> cb = plt.colorbar()
>>> cb.set_label(label= 'Magnetic Flux Density (T)')
>>> plt.ylabel('Z coordinate ($m$)')
>>> plt.xlabel('X coordinate ($m$)')
>>> plt.title('Magnetic Flux Density of a Transient Planewave in the x-direction in a Wholespace')
>>> plt.show()

(Source code, png, pdf)