choclo.prism.magnetic_nn

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choclo.prism.magnetic_nn#

choclo.prism.magnetic_nn(easting, northing, upward, prism_west, prism_east, prism_south, prism_north, prism_bottom, prism_top, magnetization_east, magnetization_north, magnetization_up)[source]#

Northing derivative of the northing component of the magnetic field.

Returns the northing derivative of the northing component of the magnetic field due to a single rectangular prism on a single computation point.

Parameters:
easting, northing, upwardfloat

Easting, northing and upward coordinates of the observation point. Must be in meters.

prism_west, prism_east, prism_south, prism_north, prism_bottom, prism_topfloat

The boundaries of the prism. Must be in meters.

magnetization_eastfloat

The East component of the magnetization vector of the prism. Must be in Am1.

magnetization_northfloat

The North component of the magnetization vector of the prism. Must be in Am1.

magnetization_upfloat

The upward component of the magnetization vector of the prism. Must be in Am1.

Returns:
b_nnfloat

Northing derivative of the northing component of the magnetic field generated by the prism on the observation point in T. Return numpy.nan if the observation point falls in a singular point: prism vertices, prism edges or interior points.

Notes

Computes the northing derivative of the northing component of the magnetic field B(p) generated by a rectangular prism R with a magnetization vector M on the observation point p as follows:

Byy(p)=μ04π(Mxuxyy+Myuyyy+Mzuyyz)

Where uijk are:

uijk=3ijkR1pqdv

with i,j,k{x,y,z}.

References