上述三种用于反演问题求解的算法已广泛地应用在地球物理求解中，已成为求解非线性反问题的有力数学工具。
The three algorithms mentioned above have been widely used in the solving of geo physical problems and are a powerful mathematical tool for nonlinear inversion problems.
考虑一类垂直断层效应反演问题，其数学模型是具有解析核的第一类积分方程。
A class of inverse problems of perpendicular fault effect are discussed, which are modeled by a first kind integral equation with an analytic kernel.
采用正反分析法建立了天然气管网管段阻抗系数优化反演的数学模型。
A pipe hydraulic resistance coefficient model for natural gas pipeline network is established based on positive and negative analytic approach.
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