论文标题
一阶弹性波方程建模的非平衡网格有限差异方案
A non-balanced staggered-grid finite-difference scheme for the first-order elastic wave-equation modeling
论文作者
论文摘要
我们引入了一种有效，准确的交错有限差分（SGFD）方法来求解二维弹性波方程。我们使用耦合的一阶应力速度公式。在SGFD方法的标准实现中，相同的SGFD操作员用于近似空间衍生物。但是，我们提出了一种基于混合SGFD运算符的数值方法，与统一的SGFD操作员相比，恰好具有相似精度的效率更高。我们将提出的方法称为非平衡的SGFD数值方案，该方案将高阶SGFD运算符与二阶SGFD运算符相结合。非常小心的关注指向SGFD操作员系数的推导。提议方案的正确性通过分散分析证明。通过SGFD建模示例，我们验证/证明，与更昂贵的平衡SGFD方法相比，提议的非平衡运营商具有相似的精度，其计算成本更便宜。
We introduce an efficient and accurate staggered-grid finite-difference (SGFD) method to solve the two-dimensional elastic wave equation. We use a coupled first-order stress-velocity formulation. In the standard implementation of SGFD method the same SGFD operator is used to approximate the spatial derivatives. However, we propose a numerical method based on mixed SGFD operators which happen to be more efficient with similar accuracy in comparison to uniform SGFD operator. We refer the proposed method as the non-balanced SGFD numerical scheme which means combining high-order SGFD operators with second-order SGFD operators. A very care attention is directed at the derivation of the SGFD operator coefficients. The correctness of proposed scheme is proven by dispersion analysis. Through SGFD modeling examples, we verify/demonstrate that the proposed non-balanced operator offers a similar level of accuracy with a cheaper computation cost compared to the more expensive balanced SGFD method.
