地形对不同反演的影响

摘 要]根据观测数据和模型参数之间的关系，将求误差函数的最优问题的方法通常分为线性反演和非线性反演; 线性反演要求有相当准确的背景介质模型的条件，这和地球物理问题中的实际情况相矛盾。特殊情况下，线性反演甚至出现发散的情况。而非线性反演不用求目标函数的偏导数，全局随机搜索模型空间的最优解的办法，避免了问题的线性化，在山区复杂地形条件下，通过对比论证，非线性反演能够获取更合理的真实地电模型，从而说明由于非线性反演适应性较强、精度较高已被广泛的应用于地球物理的各个领域。

Influence of terrain on different inversions

Abstract: According to the relationship between observation data and the model parameters, the methods of solving the optimal problem of error function are usually divided into linear inversion and nonlinear inversion methods. Linear inversion requires a fairly accurate background medium model, which is contradict to the actual situations of geophysical problems. Under special circumstances, in the linear inversion appears even divergence. While the nonlinear inversion does not need to calculate the partial derivative of target function, in which the optimal solution of the global random search model space avoids the linearization of the problem. Under the condition of complex terrain in mountains, comparison and argument indicate that nonlinear inversion can obtain a more reasonable and true electric model, indicative of the strong adaptability and high precision. So the nonlinear inversion has been widely applied in various fields of geophysics.