Second-Order TTI Visco-acoustic Wave Equation and Associated NPML Boundary Conditions in Time Domain

Second-Order TTI Visco-acoustic Wave Equation and Associated NPML Boundary Conditions in Time Domain

The viscosity and anisotropy play important roles in seismic synthetic modeling and neglecting them degenerates the precision of seismic synthetic modeling results. In order to have both factors concurrently, we extend the existing stable TTI acoustic wave equation to a visco-acoustic one. Moreover, computational cost and memory limitation of hardware cause wave propagation simulation area to be truncated. In order to overcome unacceptable reflection artifacts from boundary, caused by the truncation, we derive a suitable Nearly Perfectly Matched Layers (NPML) boundary condition. In the numerical results proposed second-order TTI visco-acoustic wave equations are implemented and efficiency of derived NPML is investigated.

The viscosity and anisotropy play important roles in seismic synthetic modeling and neglecting them degenerates the precision of seismic synthetic modeling results. In order to have both factors concurrently, we extend the existing stable TTI acoustic wave equation to a visco-acoustic one. Moreover, computational cost and memory limitation of hardware cause wave propagation simulation area to be truncated. In order to overcome unacceptable reflection artifacts from boundary, caused by the truncation, we derive a suitable Nearly Perfectly Matched Layers (NPML) boundary condition. In the numerical results proposed second-order TTI visco-acoustic wave equations are implemented and efficiency of derived NPML is investigated.