Modeling stochastic porous media using gradient normalization based generative adversarial network

Ting Zhang

doi:10.1007/s00477-025-03080-3

Modeling stochastic porous media using gradient normalization based generative adversarial network

2025-08-13

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DOI：10.1007/s00477-025-03080-3

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Porous media reconstruction is a valuable and cost-efficient way to discover the internal microstructure of porous media, and thus helps to reveal the general rules of fluid flow in porous media and complex properties of porous materials. Recently, generative adversarial network (GAN) widely used in deep learning generation constantly promotes the development of porous media. Because GAN has powerful feature extraction capabilities, it can help to generate porous media samples with the characteristics of real porous microstructures. However, the training process of GAN is often affected by gradient issues (e.g., gradient vanishing or gradient explosion). This study introduces a normalization method, namely gradient normalization (GN), to address the gradient issues that arise during GAN’s training for the reconstruction of porous media. Unlike traditional methods, the GN method imposes constraints on the gradient norm of the discriminator function. This approach enhances the model stability and thus increases the network capacity. We assess the efficacy of the GN method in the complex 3D stochastic reconstruction of porous media through a series of comparative experiments, through which GN is proved to be significantly superior to some other reconstruction methods in multiple evaluation metrics, demonstrating the effectiveness and potential of GN in 3D stochastic reconstruction of porous media.

Keywords:

Stochastic reconstruction

Porous media

Generative adversarial network

Gradient normalization

Modeling stochastic porous media using gradient normalization based generative adversarial network

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