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OALib Journal期刊
ISSN: 2333-9721
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基于metropolis抽样的非线性反演方法
Keywords: fft-ma,gdm,贝叶斯理论,非线性反演,高分辨率,metropolis抽样
Abstract:
？基于metropolis抽样的非线性反演应用贝叶斯理论框架,是一种基于蒙特卡洛的非线性反演方法,能够有效地融合测井资料中的高频信息,提高反演结果的分辨率。首先通过快速傅里叶滑动平均模拟算法(fft-ma)和逐渐变形算法(gdm)得到基于地质统计学的先验信息;进而构建似然函数;最后利用metropolis算法对后验概率密度进行抽样,得到反演问题的解。其中fft-ma模拟作为一种高效的频率域模拟方法,融入gdm更新算法之后,可以在保持模拟空间结构不变的前提下,连续修改储层模型,保证反演结果有效地收敛,直至满足实际观测地震记录。模型试算和实际数据处理结果表明:基于metropolis抽样的非线性反演可以提供合理的弹性参数信息,尤其是提高纵波速度的分辨率,即使信噪比较小时,仍然可以反演出合理的弹性参数信息,从而证明了该方法的有效性;当不考虑噪声时,纵、横波阻抗的反演分辨率较弹性参数本身的反演分辨率更高。
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