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Inverse modeling in the time domain for solving diffusion in a heterogeneous rock matrix
Author(s) -
Delay Frederick,
Porel Gilles
Publication year - 2003
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/2002gl016428
Subject(s) - computation , computer science , inverse , inversion (geology) , domain (mathematical analysis) , diffusion , matrix (chemical analysis) , algorithm , gauss , inverse problem , time domain , diffusion equation , coupling (piping) , mathematical optimization , mathematics , geology , physics , mathematical analysis , geometry , engineering , materials science , paleontology , metric (unit) , operations management , structural basin , quantum mechanics , composite material , computer vision , thermodynamics , mechanical engineering
A Lagrangian method has been developed to solve heterogeneous diffusion. The time domain on which the method rests allows for the coupling with a Gauss‐Newton inversion in which the sensitivity to parameters is derived analytically. This tool has proved very rapid and efficient, even for large computation grids as those extracted from autoradiographs of rock samples. It offers a more comprehensive view of transport by diffusion for many applications, one of them being for instance, the safety of underground repository sites.