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The Application of Discrete Tikhonov Regularization Inverse Problem in Seismic Tomography

机译:离散Tikhonov正则化反问题在地震层析成像中的应用

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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.
机译:由于不稳定性,在解决问题时考虑了一些约束,因此使用了一种称为正则化的解决方案,该解决方案对于解决I11-提出的问题很有用。在细胞模型中,波的几何路径应为直线。为此,应用了svd解,零阶,一阶和二阶Tikhonov正则化。为了实现该程序,使用了Matlab,并获得了结果作为速度分布的等高线图。为了解决Tikhonov反问题,应用了零阶约束。单个对角矩阵和衰减参数以不同的方式使用,但都无法获得正确的解决方案。在解决Tikhonov一阶逆问题时,使用了平滑D矩阵和1000、100、10和1的正则化参数。 100和更高的参数显示出良好的收敛性。

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