The Application of Discrete Tikhonov Regularization Inverse Problem in Seismic Tomography

摘要

Because of instability, a solution called regularization had been used, considering some constraints in problem solving, that is useful in solving I11 - Posed problems.In a cellular model, waves geometrical path was supposed to be straight. For this purpose, svd solution, zero - order, first - order and second - order Tikhonov Regularization were applied.rnTo implement the program, Matlab has been used and the results were obtained as contour map of velocity distribution. To solve Tikhonov inverse problem, the constraint of zero order was applied. Single digonal matrix and attenution parameters were used in different ways in none of which a proper solution was attained. In solving Tikhonov first -order inverse problem, smoothing D matrix and regularization parameters of 1000, 100, 10 and 1 were used. Parameters of 100 and higher demonstrated good convergence.