Research progress on time-space domain finite-difference numerical solution and absorption boundary conditions of wave equation
Liu Yang1,2
1. State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum (Beijing), Beijing 102249, China;
2. CNPC Key Laboratory of Geophysical Exploration, China University of Petroleum (Beijing), Beijing 102249, China
Abstract:Numerical solution of the wave equation is one of core technologies for wave equation forward modeling, reverse time migration and full waveform inversion.In this paper,I review finite difference for numerical solution of wave equation and absorption boundary conditions, and discuss the hybrid absorption boundary conditions and different finite difference methods such as the time-space domain dispersion-relation-based finite difference, the adaptive variable-length spatial finite difference, the optimized finite difference. The paper introduces applications and progresses of these methods in reverse time migration and waveform inversion.