A stable and high-precision dual-variable grid forward modeling and reverse time migration method

作者：Li Zhenchun; Li Qingyang; Huang Jianping^*; Li Na; Tian Kun

来源：Geophysical Prospecting for Petroleum, 2014, 53(2): 127-136.

DOI：10.3969/j.issn.1000-1441.2014.02.001

• Algorithm stability
• Dual-variable grid
• Fractured reservoir
• Implementation process
• Lanczos
• Mathematical expressions
• Numerical results
• Reverse time migrations

Owing to its low memory and high efficiency, dual-variable grid forward modeling method has played an important role in characterizing the seismic response of small-scale anomalies, especially for ultra-deep microstructures. In the implementation process of variable grid forward modeling method, it needs to consider two issues. Firstly, the fake reflection occurred where the grid interval changes. The second is this method prone to be unstable under a long sampling time. In this paper, we derived the mathematical expressions of fake reflection error theoretically, and analyzed its influencing factors. Through the introduction of Lanczos filtering operator, we proposed a stable and high-precision dual-variable grid forward modeling algorithm based on staggered grid. Numerical results show that our algorithm not only remains stable at more than 30 thousand times iterations, but also suppresses fake reflections significantly. Subsequently, by applying our algorithm to reverse time migration, we developed a dual-variable grid reverse time migration algorithm. Numerical results of fractured reservoirs proved that our method can characterize underground microstructures accurately and efficiently.

• 出版日期2014
• 单位中国石油大学（华东）