摘要
正演是反演的基础,有效正确的正演差分格式可以保证反演结果的精度和效率.本文通过声波波动方程域间转换提出标量地震波Laplace-Fourier域数值模拟方法,并推导了同时引入衰减因子和频率的Laplace-Fourier域标量波方程的9点法有限差分格式和Laplace-Fourier域对应的加入PML(perfectly matched layer)吸收边界条件的差分格式,并通过模型试算验证了本文提出的Laplace-Fourier域正演方法的有效性和准确性,通过与时间域正演方法得到的地震记录比较,可以看出该方法能满足正演数值模拟的要求,为下一步进行Laplace-Fourier域标量波全波形反演奠定了基础.
Forward modeling is the basis of the inversion, the effective and correct of the forward difference scheme can ensure the accuracy and efficiency of the inversion results. Based on the transformation between time domain and Laplace-Fourier domain of acoustic wave equation, we came up with the scalar wave forward modeling method in Laplace-Fourier domain, and deduced the 9-point finite difference scheme of the scalar wave equation in Laplace-Fourier domain with the damping constants and the frequency, we also discussed the finite difference scheme that adding perfectly matched layer （PML） in Laplace-Fourier domain. It has been proved that the scalar wave forward modeling method in Laplace-Fourier domain using finite-difference method we proposed is effective and accurate by the numerical modeling test. Also, compared with the seismic record that obtained from the forward modeling method in time domain, it can be seen that this method can meet the requirements of the forward numerical simulation, and lay the foundation of the scalar wave full waveform inversion in Laplace-Fourier domain.
出处
《地球物理学进展》
CSCD
北大核心
2017年第2期584-590,共7页
Progress in Geophysics
基金
国家自然科学基金石油化工联合基金重点项目(U1562215)
国家重点基础研究发展计划(973)项目(2013CB228604)联合资助
