FAST 3D INVERSION OF THE MAGNETIC VECTOR AMPLITUDE PRODUCED BY A BASEMENT RELIEF USING GAUSS-LEGENDRE QUADRATURE

• Fast-regularized inversion of the amplitude of the magnetic anomaly vector (amplitude data) for depth-to-basement estimate based on an efficient way to compute amplitude data produced by an arbitrary interface separating nonmagnetic sediments from a magnetic basement.

• Because the amplitude data is weakly dependent on the magnetization direction, the presence of remanent magnetization does not affect the solution.

• New forward model to calculate the magnetic components are simplified by a 1D integration taken with respect to the z-axis of a prism (prism thickness) and then multiplied by the horizontal area of the prism. The 1D integration is solved using the Gauss-Legendre quadrature using dipoles.