地震波数值模拟中优化的通量校正传输方法

为了有效提高地震波正演数值模拟精度,提出了一种优化的通量校正传输方法,即在每一步时间递推过程中,沿坐标轴方向和对角线方向均引入通量校正参数进行波场校正处理,以高频散的均匀介质地震模拟波场为例,研究对比了不同中心网格有限差分近似阶数、传统的FCT方法和优化的FCT方法校正得到的地震波场效果.数值计算结果表明,传统的FCT方法容易产生虚假波场,而优化的FCT方法可以削弱或消除这些假波动,并指出结合高差分阶数和应用优化的FCT方法可以更好地提高数值模拟记录的信噪比.

AN OPTIMIZED FLUX-CORRECTED TRANSPORT METHOD IN THE SEISMIC WAVE NUMERICAL SIMULATION

In order to improve forward numerical simulation precision of seismic wave, this paper puts forward an optimized flux-corrected transport method, the flux corrected parameters are intro-duced along the coordinate and diagonal directions at each step of the numerical iteration to correct the wave field, and takes the seismic wave field simulation with high-dispersion as example, and compares the corrected seismic wave results among different centered-grid finite-difference approxi- mating order and conventional FCT method and optimized FCT scheme. The numerical results show that： conventional FCT method can easily introduce false wave field which could be reduced or re-moved by the proposed method. At the same time, the author points out numerical precision of the records can be greatly improved by combining the methods of high-order difference and optimized FCT scheme together.