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 Num. Meth. Prog., 2020, Volume 21, Issue 1, Pages 41–55 (Mi vmp990)

Use of the computational topology to analyze the pore space changes during chemical dissolution

T. S. Khachkovaa, Ya. V. Bazaikinb, V. V. Lisitsaa

a A. A. Trofimuk Institute of Petroleum Geology and Geophysics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: A new algorithm for constructing the persistence diagrams to estimate the changes in the rock matrix topology during the chemical fluid-solid interaction. In the space of the persistence diagrams, a metric is introduced, which allows one to clusterize the diagrams in order to estimate their dissimilarities in the topology changes. This clusterization shows that the main parameters affecting the topology of the rock matrix are the reaction rate and the diffusion coefficient, whereas the fluid flow rate makes a smaller effect on the topology.

Keywords: persistence homology, chemical dissolution

DOI: https://doi.org/10.26089/NumMet.v21r104

Full text: PDF file (2147 kB)

UDC: 550.341

Citation: T. S. Khachkova, Ya. V. Bazaikin, V. V. Lisitsa, “Use of the computational topology to analyze the pore space changes during chemical dissolution”, Num. Meth. Prog., 21:1 (2020), 41–55

Citation in format AMSBIB
\Bibitem{KhaBazLis20} \by T.~S.~Khachkova, Ya.~V.~Bazaikin, V.~V.~Lisitsa \paper Use of the computational topology to analyze the pore space changes during chemical dissolution \jour Num. Meth. Prog. \yr 2020 \vol 21 \issue 1 \pages 41--55 \mathnet{http://mi.mathnet.ru/vmp990} \crossref{https://doi.org/10.26089/NumMet.v21r104}