利用模拟退火法反演地下三维密度界面的数值模拟

解的优化问题是重磁反演中很重要的一个方面。为了提高反演的精度和效率,采用一种线性网格化的模拟退火法来进行密度反演。将模拟区域划分为若干规则且密度均匀的长方体。为了减小边界条件的影响,可将研究区域中不同部分划分为规模不同的长方体。由引力位可推导出长方体外任意一点的重力异常公式;利用重力的可叠加性,计算每个观测点的重力异常。在给定长方体的规模参数后,根据已知的重力异常,利用模拟退火法求取最优化解,从而确定密度参数。

Simulated annealing inverse underground three-dimensional density interface and numerical simulation

Solution of the optimization problem of gravity and magnetic inversion is a very important one, In order to improve the accuracy and efficiency of the inversion. This will use a linear grid simulated annealing method for density inversion. The simulation area is divided into a number of regular and uniform density cuboid.To reduce the influence of boundary conditions,the study area can be divided into different sections of different sizes cuboid.the gravity anomaly formula of any point outside the cuboid can be deduced from the gravitational potential,take advantage of the superposition of gravity,we can calculate each observation point gravity anomalies.If given the Scale parameters of cuboid gravity anomaly and according to simulated annealing method,the optimal solution can be solved,then the density parameter can be solved.