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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 inversion, and correct and correct forward difference scheme can ensure the accuracy and efficiency of inversion results.In this paper, we propose a numerical simulation method for Laplace-Fourier domain of scalar seismic wave through inter-domain transformation of acoustic wave equation, Factor and frequency Laplace-Fourier domain scalar wave equation 9-point finite difference scheme and the Laplace-Fourier domain corresponding PML (complementary boundary layer) absorbing difference conditions of the difference format, and through the model trial calculations verify the proposed Laplace -Fourier domain forward method is valid and accurate. Compared with the seismic records obtained from forward modeling in time domain, it can be seen that this method can meet the requirements of forward numerical simulation. For the next step, Laplace-Fourier domain scalar wave Full waveform inversion laid the foundation.