Hybrid absorbing boundary condition for three-dimensional elastic wave modeling
Liu Xin1,2, Liu Yang1,2, Ren Zhi-Ming3, Cai Xiao-Hui4, Li Bei1,2, Xu Shi-Gang1,2, and Zhou Le-Kai1,2
1. State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing 102249, China.
2. CNPC Key Laboratory of Geophysics Prospecting, China University of Petroleum, Beijing 102249, China.
3. School of Geoscience, China University of Petroleum (East China), Qingdao 266580, China.
4. Institute of Geotechnical Engineering, Nanjing University of Technology, Nanjing 210009, China.
Abstract Edge reflections are inevitable in numerical modeling of seismic wavefields, and they are usually attenuated by absorbing boundary conditions. However, the commonly used perfectly matched layer (PML) boundary condition requires special treatment for the absorbing zone, and in three-dimensional (3D) modeling, it has to split each variable into three corresponding variables, which increases the computing time and memory storage. In contrast, the hybrid absorbing boundary condition (HABC) has the advantages such as ease of implementation, less computation time, and near-perfect absorption; it is thus able to enhance the computational efficiency of 3D elastic wave modeling. In this study, a HABC is developed from two-dimensional (2D) modeling into 3D modeling based on the 1st Higdon one way wave equations, and a HABC is proposed that is suitable for a 3D elastic wave numerical simulation. Numerical simulation results for a homogenous model and a complex model indicate that the proposed HABC method is more effective and has better absorption than the traditional PML method.
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2017, Vol. 14 
