Data assimilation of subsurface transport is important in many energy and environmental applications,but its solution is typically *** this work,we build physics-constrained deep learning models to predict the full-sc...
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Data assimilation of subsurface transport is important in many energy and environmental applications,but its solution is typically *** this work,we build physics-constrained deep learning models to predict the full-scale hydraulic conductivity,hydraulic head,and concentration fields in porous media from sparse measure-ment of these *** model is developed based on convolutional neural networks with the encoding-decoding *** model is trained by minimizing a loss function that incorporates residuals of governing equations of subsurface transport instead of using labeled *** trained,the model predicts the unknown conductivity,hydraulic head,and concentration fields with an average relative error<10%when the data of these observables is available at 12.2%of the grid points in the porous *** model has a robust predictive performance for porous media with different conductivities and transport under different Péclet number(0.5
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