PAPER TITLE :ANALYTICAL SENSITIVITY COMPUTATION FOR THE 1D SCHLUMBERGER ARRAY VERTICAL ELECTRICAL SOUNDING (VES) CURVE WITH MATLAB

JOURNAL OF EARTH AND ATMOSPHERIC RESEARCH | VOLUME 1 NUMBER 1 2018

Paper Details

  • Author(s) : Ogunbo, Jide Nosakare
  • Abstract:

Sensitivity or the Jacobian matrix is essential for performing gradient based nonlinear least-squares
geophysical data inversion. Majority of previous works on the inversion use the finite difference
(approximate) method because it is generally an easy way for computing the complicated derivatives of the
sensitivity matrix. The reference found for analytically solving the derivative of the recursive kernel for the
computation of the 1D Schlumberger data provides just the algorithmic formulations. A MATLAB code
implementation of this algorithmic formulation of the analytical approach is presented in a usable and
portable form. Results are speedily computed; the analytical approach linearly gains speed as the number of
parameters for computing the sensitivity increases. This should therefore effectively speed up the nonlinear
least-squares inversion of 1D Schlumberger Vertical Electrical Sounding (VES) data without any
accumulated loss of accuracy from the approximate method such as the finite difference.

JOURNAL OF EARTH AND ATMOSPHERIC RESEARCH