By Extending the domain geometries of a DeepONet from a simple bulk phase to a complex porous structure，the Porous-DeepONet architecture is constructed. (IMAGE)
Caption
The Porous-DeepONet architecture consists of a trunk net and one or more branch nets. The branch1 net is used for extracting latent representations of the structure of porous media u(x, y) and the branch2 net for latent representations of other parameters θ in parametric PDEs. Notably, a CNN is introduced as the branch1 net. The role of the trunk net is to extract the latent representation of the input space–time coordinates (t, x, y) at which the output functions G(u, θ) are evaluated. Continuous and differentiable output functions G(u, θ)(t, x, y) are then obtained by dot-producting the outputs of each subnetwork.
Credit
Pan Huang
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CC BY-NC-ND