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本文提出了一种求二维单一密度界面的反问题的新方法。我们利用截面为矩形的水平柱体的组合模型逼近二维单一密度界面,利用奇异值分解简化Levenberg(1944)—Marquardt(1963)(L—M)方法的解。试算结果表明,在已知地面上某一点到密度界面深度的条件下,该方法对初值要求不高,迭代收敛过程稳定,能保证求得合理的解。
In this paper, we propose a new method to solve the inverse problem of two-dimensional single density interface. We approximate the two-dimensional single-density interface using a combined model of rectangular cylinders with a rectangular cross-section and simplify the solution of the Levenberg (1944) -Marquardt (1963) (L-M) method using singular value decomposition. The experimental results show that this method does not require high initial value and the iterative convergence process is stable under the condition of knowing the depth from a point on the ground to the density interface, and the reasonable solution can be obtained.