PROCEDIMENTOS LINEARES DE INVERSÃO GRAVIMÉTRICA PARA ESTIMAR O RELEVO DO EMBASAMENTO DE BACIAS SEDIMENTARES

Abstract

In order to obtain effective and computationally efficient solutions propose two new methods that incorporate linear inversion procedure for the solution of a nonlinear inversion problem. The first proposed method approximates the solution of the nonlinear inversion by linear inversion procedures and applies corrections in iterations from the initial approach, obeyed until the convergence criterion. The second method proposed solution approximates the nonlinear inversion of the linear inversion procedures only on the first iteration, the second iteration from the additional iterations are applied for correction. The investments made in the two new methods are stabilized by Tikhonov regularization functional first order. The observations are modeled by a set of 3D vertical rectangular prisms whose thicknesses are parameters that define discreetly relief estimated at some points. We evaluate the efficiency and effectiveness of the proposed methods with the nonlinear inversion from synthetic tests. The proposed methods have proved more efficient than the nonlinear inversion method, since reduced computational time required to recover virtually identical reliefs. As regards the effectiveness conclude that the proposed method is not as efficient as the nonlinear inversion, since the estimates of the basement relief scale and are equivalent to each other in shape.