二维频率域声波方程正演模拟
2D Acoustic Wave Equation Forward Modeling in the Frequency Domain
DOI: 10.12677/OJNS.2020.84034, PDF,    科研立项经费支持
作者: 韩 坤, 王祥春*：中国地质大学(北京)，地球物理与信息技术学院，北京
关键词: 频率域；正演模拟；声波方程；并行计算；Frequency Domain； Forward Modeling； Acoustic Equation； Parallel Computing
摘要: 频率域正演在地震波数值模拟中占有十分重要的地位。相比于时间域正演，频率域正演具有适合多炮并行运算、无时间频散、频带选取灵活、误差小等优点。频率域正演时，不同频率的系数矩阵相对独立，适合并行计算加速处理，大大提高计算效率。这里针对频率域声波方程的最优化9点差分格式，开展了隐式表达方式和稀疏矩阵的求解研究，正演模拟了地震波场。模型计算验证了方法技术的准确性和有效性。
Abstract: Forward modeling in frequency domain plays an important role in the numerical simulation of seismic waves. Compared with time domain forward modeling, frequency domain forward modeling has many advantages, such as suitable multi shot parallel operation, no time dispersion, flexible frequency band selection and small error. The coefficient matrix of different frequencies is relatively independent in the frequency domain forward modeling, which is suitable for the acceleration of parallel computing and greatly improves the computing efficiency. In this paper, for the optimal 9-point difference scheme of frequency domain acoustic equation, the implicit expression and sparse matrix solution are studied, and the seismic wave field is simulated forward. The accuracy and validity of the method are verified by model calculation.
文章引用：韩坤, 王祥春. 二维频率域声波方程正演模拟[J]. 自然科学, 2020, 8(4): 258-263. https://doi.org/10.12677/OJNS.2020.84034

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