A Bayesian Approach to Uncertainty Quantification in Geophysical Basin Modeling

A. Pradhan, T. Mukerji
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Abstract

Summary Geophysical basin modeling helps constrain the non-uniqueness of seismic velocity inversion methods by employing basin modeling to incorporate geo-history constraints into inversion. Traditionally, basin modeling is performed in a deterministic manner and thus does not facilitate uncertainty quantification. We present a Bayesian approach for propagation of basin modeling uncertainties into velocity models. Our methodology constitutes defining prior probability distributions on uncertain basin modeling parameters and likelihood models on basin modeling calibration data. Posterior realizations of basin models are generated by sampling the prior, performing Monte-Carlo basin simulations and evaluating the corresponding likelihood values. These posterior models are finally linked to velocity models by rock physics modeling. We demonstrate the applicability of our proposed workflow using a 2D real case study from Gulf of Mexico.
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地球物理盆地建模中不确定性量化的贝叶斯方法
地球物理盆地模拟利用盆地模拟将地史约束条件整合到反演中,从而限制了地震速度反演方法的非唯一性。传统上,盆地建模是以确定性的方式进行的,因此不利于不确定性的量化。我们提出了一种贝叶斯方法来将盆地建模的不确定性传播到速度模型中。我们的方法包括定义不确定盆地建模参数的先验概率分布和盆地建模校准数据的似然模型。盆地模型的后验实现是通过采样先验、进行蒙特卡罗盆地模拟和评估相应的似然值来产生的。这些后验模型最终通过岩石物理建模与速度模型联系起来。我们使用来自墨西哥湾的2D真实案例研究来演示我们提出的工作流的适用性。
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