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随着计算能力的提高和非线性反演算法的改进,应用非线性反演方法来解决实际物理问题逐渐增多.在众多的非线性密度界面反演方法中,自适应模拟退火反演方法便是其中之一.它易添加约束,不需要计算目标函数的偏导数和大矩阵方程,从而可以很容易找到一个全局最优解.然而,这种方法不适用于一些缺乏相应的数据或无约束信息的区域,因此本文提出了一种改进的自适应模拟退火密度界面反演方法.该方法通过引入变剩余密度建模来不断约束初始模型,在反演过程中通过迭代反演各矩形单元体的密度参数以及深度模型,直到满足收敛条件,最终得到理想的深度界面形态以及剩余密度分布.
With the improvement of computational ability and the improvement of nonlinear inversion algorithm, the nonlinear inversion method is applied to solve the problem of actual physical problems.Among numerous nonlinear density interface inversion methods, the adaptive simulated annealing inversion method is One of them is that it is easy to add constraints and does not need to calculate the partial derivatives and large matrix equations of the objective function so that it can be easily found a global optimal solution. However, this method is not suitable for some lack of corresponding data or unconstrained information This paper presents an improved adaptive simulated annealing density interface inversion method by introducing a variable residual density modeling to continuously constrain the initial model in the inversion process by iterative inversion of the rectangular unit body Density parameter and depth model until the convergence condition is satisfied, finally the ideal depth interface morphology and residual density distribution are obtained.