资源环境科技发展态势分析平台

We present an efficient adjoint model based on the deep‐learning surrogate to address high‐dimensional inverse modelling with an application to subsurface transport. The proposed method provides a completely code non‐intrusive and computationally feasible way to approximate the model derivatives, which subsequently can be used to derive gradients for inverse modelling. This conceptual deep‐learning framework, i.e., an architecture of deep convolutional neural network through combining autoencoder and autoregressive structure, efficiently produces an analogously analytical adjoint with the help of auto‐differentiation (AD) module in the popular deep‐learning packages. We intentionally retain training data at the specific time instances where the measurements are taken, the storage of the intermediate states and computation of their adjoint, therefore, are completely avoided. This proposed adjoint state method is tested on a synthetic 2D model for parameter estimations. The preliminary results reveal the feasibility of the proposed adjoint state method in term of computational efficiency and programming flexibility.

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