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Equivalence of finite dimensional input-output models of solute transport and diffusion in geosciences

Abstract : We show that for a large class of finite dimensional input-output positive systems that represent networks of transport and diffusion of solute in geological media, there exist equivalent multi-rate mass transfer and multiple interacting continua representations, which are quite popular in geo-sciences. Moreover, we provide explicit methods to construct these equivalent representations. The proofs show that controllability property is playing a crucial role for obtaining equivalence. These results contribute to our fundamental understanding on the effect of fine-scale geological structures on the transfer and dispersion of solute, and, eventually, on their interaction with soil microbes and minerals.
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https://hal.archives-ouvertes.fr/hal-01334540
Contributor : Alain Rapaport Connect in order to contact the contributor
Submitted on : Monday, June 20, 2016 - 10:55:30 PM
Last modification on : Thursday, June 2, 2022 - 2:48:13 PM

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equivMRMT_MINC.pdf
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  • HAL Id : hal-01334540, version 1
  • ARXIV : 1606.06438

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Alain Rapaport, Alejandro Rojas-Palma, Jean-Raynald de Dreuzy, Hector Ramirez. Equivalence of finite dimensional input-output models of solute transport and diffusion in geosciences. 2016. ⟨hal-01334540v1⟩

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