基于FFT-MA模拟与VFQA算法的纵波模量弹性阻抗随机反演方法

摘要

弹性阻抗反演采用快速叠前角度部分叠加道集,较好地反映地层岩性和流体特征,具有较强的抗噪能力.基于随机反演理论,将快速傅里叶变换滑动平均模拟(Fast Fourier Transform-Moving Average,FFT-MA)与改进后的非常快速的量子退火算法(Very Fast Quantum Annealing,VFQA)相结合,提出了基于FFT-MA模拟和VFQA优化算法的弹性阻抗随机反演方法并用其估算纵波模量.利用FFT-MA模拟获得反演参数的先验信息,采用地震记录和正演关系构建似然函数,并构建弹性阻抗平滑约束,提高了反演结果的精度及可靠性.模型测试与实际数据应用结果表明,该反演方法能够有效获得纵波模量参数,且有较高的分辨率和计算效率.%Elastic impedance inversion based on seismic gather of partial angle stack can reflect the formation lithology and fluid characteristics and has strong anti-noise ability.This paper proposes an elastic impedance stochastic inversion method to estimate P-wave modulus,through a combination of FFT-MA simulation and an improved very fast quantum annealing algorithm (VFQA). We first obtain a priori information by FFT-MA simulation,a likelihood function by seismic records and forward model.Then,we use the VFQA to optimize the objective function so that the inversion results can be obtained.Testing on both synthetic data and field data shows that this method can invert the P-wave modulus parameters effectively with high resolution and computational ef-ficiency.