基于IBEM和改进PSO的地下椭圆异质结构反演

INVERSION OF UNDERGROUND ELLIPTICAL HETEROGENEOUS STRUCTURES UPON IBEM AND IMPROVED PSO

  • 摘要: 为探明地层异质结构分布状况及其物理性质,传统局部线性优化方法被广泛应用于反演问题,但为更好解决反演问题的非线性和多解性,应用全局非线性优化算法——改进粒子群优化(PSO)算法进行参数寻优。该算法避免了反演对初始模型的强依赖性,通过将固定惯性权重改进为随适应度变化的自适应惯性权重,加强了粒子群的全局寻优能力与局部精细搜索能力。同时为优化正演,采用间接边界元法(IBEM),降低计算维度,大幅提高了计算效率和精度。以半空间椭圆空洞和夹杂体为例,研究了改进PSO算法同IBEM结合反演的有效性和稳定性。在反演中,改进PSO算法可对异质结构位置进行快速反演,且各参数的反演结果均具有高精度。此外,算法较大的搜索范围一定程度上弥补了先验信息的不足,使其能有效地应用于椭圆异质结构的反演中。

     

    Abstract: The traditional local linear optimization method is widely used in the inversion problem to explore the distribution of stratigraphic heterogeneous structures and their physical properties. To address the challenges caused by nonlinearity and multiple solutions, the improved Particle Swarm Optimization (PSO) algorithm, a global nonlinear optimization technique, is employed for parameter search optimization. The strong dependence of inversion on the initial model is avoided by this algorithm. In addition, the fixed inertial weights are optimized to be adaptive inertial weights based on fitness changes. Therefore, the global optimization ability and local fine-search ability of the particle swarm are significantly enhanced. In order to optimize the forward modeling process, the Indirect Boundary Element Method (IBEM) is employed to reduce computational dimensions, and computational efficiency and accuracy are greatly improved. Considering the elliptical cavity and inclusion in the half-space, the availability and stability of the inversion based on the improved PSO algorithm and IBEM are investigated. The position of the heterostructure can be quickly inverted by the PSO algorithm improved, and the accuracy of all parameter inversion results can be highly guaranteed. Moreover, the lack of prior information is compensated by expanding the search range of the algorithm, and this algorithm can be effectively applied to the inversion of elliptical heterostructures.

     

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