三维各向异性裂缝介质正演模拟的三种交错网格适应性比较及Lebedev方法的改进

研究了三维各向异性裂缝介质的正演模拟的三种不同有限差分法，即标准交错网格（SSG）、旋转交错网格（RSG）和Lebedev方法（LS），详细对比分析这三种交错网格方法在模拟复杂各向异性介质的优势与局限.提出一种新的改进方法，简化了LS有限差分法在任意各向异性介质中的正演模拟.为了模拟三维大规模复杂各向异性介质的地震响应，提出一个优化的正演模拟计算流程：将模型参数分为模型介质参数和模型构造参数.该计算流程适用于三种有限差分法中的任何一种.使用LS方法实现任意三维各向异性裂缝介质地震响应的三维全波场模拟，通过使用三种不同的有限差分模拟方法进行二维和三维模型数值模拟试验，验证了所提出方法有效.

Comparing the adaptability of three different staggered-grids for the simulation of 3D anisotropic fractured media and improving the Lebedev method

In this paper, three different finite-difference (FD) methods, namely, Standard Staggered-Grid (SSG), Rotated Staggered-Grid (RSG), and Lebedev method (LS), are studied for the forward modeling of three-dimensional anisotropic media. The advantages and limitations of the three staggered grids in modeling complex anisotropic media are discussed qualitatively and quantitatively. In addition, this paper presents a new and improved method that simplifies the numerical implementation of the LS FD method in arbitrary anisotropic media. To simulate the seismic response of 3D large-scale complex anisotropic media, this paper proposes an optimized simulation workflow by separating model parameters into model medium parameters and model structure parameters; this is suitable for any of the three FD methods. The ultimate goal of this paper is to implement the 3D full-wavefield simulation of the seismic response in 3D complex anisotropic fractured media, such as orthorhombic symmetry, which is accomplished and validated by demonstrating several modeling examples with these three different FD modeling methods.