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Paper · arXiv

Geological text descriptions in ill-posed inverse problems: insights from learned hydraulic-conductivity inversion

Hydraulic-conductivity inversion is ill posed: even complete head observations can leave structural ambiguity. Geological text descriptions can supply additional information about subsurface structure to constrain reconstruction. However, it remains unclear when descriptions improve reconstruction and how solvers use their stated content. We examine these questions in learned inversion using a synthetic Darcy-flow dataset with idealised descriptions, varying observation density and flow direction. After sparse-observation training, descriptions can improve reconstruction over models trained without them when observations leave structural ambiguity, though gains vary across conditions and ...

AuthorsTaiga Saito, Yu Otake, Daijiro Mizutani et al.
Primary categorycs.LG
Published23 June 2026
Last updated at source13 October 2026
cs.LGcs.AI
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