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

Authors

DOI:

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

Keywords:

persistence homology, chemical dissolution

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.

Author Biographies

T.S. Khachkova

Trofimuk Institute of Petroleum Geology and Geophysics of SB RAS
• Researcher

Ya.V. Bazaikin

Sobolev Institute of Mathematics of SB RAS
• Head of Laboratory

V.V. Lisitsa

Trofimuk Institute of Petroleum Geology and Geophysics of SB RAS
• Head of Laboratory

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Published

30-01-2020

How to Cite

Хачкова Т., Базайкин Я., Лисица В. Use of the Computational Topology to Analyze the Pore Space Changes During Chemical Dissolution // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2020. 21. 41-55. doi 10.26089/NumMet.v21r104

Issue

Vol. 21 (2020): Issue 1.

Section

Section 1. Numerical methods and applications

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