Application of physics-informed neural networks to inverse problems in unsaturated groundwater flow

نویسندگان

چکیده

This paper investigates the application of Physics-Informed Neural Networks (PINNs) to inverse problems in unsaturated groundwater flow. PINNs are applied types flow modelled with Richards partial differential equation and van Genuchten constitutive model. The problem is formulated here as a known or measured values solution at several spatio-temporal instances, unknown rest domain parameters solve by reformulating loss function deep neural network such that it simultaneously aims satisfy set collocation points distributed across domain. novelty originates from development PINN formulations for requires training single network. results demonstrate capable efficiently solving relatively accurate approximation estimates model parameters.

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ژورنال

عنوان ژورنال: Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards

سال: 2021

ISSN: ['1749-9526', '1749-9518']

DOI: https://doi.org/10.1080/17499518.2021.1971251