3D CNN-PCA: A Deep-Learning-Based Parameterization for Complex Geomodels

• URL: http://arxiv.org/abs/2007.08478v1
• Date: Thu, 16 Jul 2020 17:25:14 GMT
• Title: 3D CNN-PCA: A Deep-Learning-Based Parameterization for Complex Geomodels
• Authors: Yimin Liu, Louis J. Durlofsky
• Abstract summary: This study develops a deep-learning-based geological parameterization algorithm, CNN-PCA, for complex 3D geomodels. CNN-PCA entails the use of convolutional neural networks as a post-processor for the low-dimensional principal component analysis representation of a geomodel. CNN-PCA is successfully applied for history matching with ESMDA for the bimodal channelized system.
• Score: 9.467521554542271
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Geological parameterization enables the representation of geomodels in terms of a relatively small set of variables. Parameterization is therefore very useful in the context of data assimilation and uncertainty quantification. In this study, a deep-learning-based geological parameterization algorithm, CNN-PCA, is developed for complex 3D geomodels. CNN-PCA entails the use of convolutional neural networks as a post-processor for the low-dimensional principal component analysis representation of a geomodel. The 3D treatments presented here differ somewhat from those used in the 2D CNN-PCA procedure. Specifically, we introduce a new supervised-learning-based reconstruction loss, which is used in combination with style loss and hard data loss. The style loss uses features extracted from a 3D CNN pretrained for video classification. The 3D CNN-PCA algorithm is applied for the generation of conditional 3D realizations, defined on $60\times60\times40$ grids, for three geological scenarios (binary and bimodal channelized systems, and a three-facies channel-levee-mud system). CNN-PCA realizations are shown to exhibit geological features that are visually consistent with reference models generated using object-based methods. Statistics of flow responses ($\text{P}_{10}$, $\text{P}_{50}$, $\text{P}_{90}$ percentile results) for test sets of 3D CNN-PCA models are shown to be in consistent agreement with those from reference geomodels. Lastly, CNN-PCA is successfully applied for history matching with ESMDA for the bimodal channelized system.

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