Computational topology-based characterization of pore space changes due to chemical dissolution of rocks | Sciact - Система учета научной деятельности ИМ СО РАН

Computational topology-based characterization of pore space changes due to chemical dissolution of rocks Научная публикация

Журнал

Applied Mathematical Modelling
ISSN: 0307-904X

Вых. Данные

Год: 2020, Том: 88, Страницы: 21-37 Страниц : 17 DOI: 10.1016/j.apm.2020.06.037

Ключевые слова

Betti numbers; Computational topology; Finite-differences; Level-set; Persistence diagram,; Rock dissolution

Авторы

Lisitsa V. ^1,2 , Bazaikin Y. ^2,3,4 , Khachkova T. ¹

Организации

1	Institute of Petroleum Geology and Geophysics SB RAS, 3 Koptug ave., Novosibirsk, 630090, Russian Federation
2	Sobolev Institute of Mathematics SB RAS, 4 Koptug ave., Novosibirsk, 630090, Russian Federation
3	Novosibirsk State University, 2 Pirogova st., Novosibirsk, 630090, Russian Federation
4	Mathematical Center in Akademgorodok, 2 Pirogova st. & 4 Koptug ave., Novosibirsk, 630090, Russian Federation

In this paper, we present an algorithm for the numerical simulation of reactive transport at the pore scale to facilitate observation of pore space and rock matrix evolution. Moreover, simulation at the pore scale opens up the possibility of estimating changes in the transport properties of rocks, such as permeability and tortuosity. To quantitatively analyze pore space evolution, we developed a numerical algorithm that can be used to construct persistence diagrams of the connectivity components for pore space and the rock matrix, which characterize the topology evolution during rock matrix dissolution. Introducing the “bottle-neck” metric in the space of the persistence diagrams, we cluster the numerical experiments in terms of similarities in topology evolution. We demonstrate that the application of this metric to the persistence diagrams allowed us to distinguish topologically different dissolution scenarios, for instance, the formation of a dissolution front near the inlet, homogeneous dissolution of the matrix inside the core sample, and formation of wormholes. We illustrate that the differences in topology evolution lead to cross-correlations among the transport properties of rocks (porosity-permeability-tortuosity). © 2020 Elsevier Inc.

Lisitsa V. , Bazaikin Y. , Khachkova T.
Computational topology-based characterization of pore space changes due to chemical dissolution of rocks
Applied Mathematical Modelling. 2020. V.88. P.21-37. DOI: 10.1016/j.apm.2020.06.037 WOS Scopus OpenAlex

Web of science:	WOS:000568745900002
Scopus:	2-s2.0-85087591561
OpenAlex:	W3040145790

БД	Цитирований
Scopus	19
OpenAlex	23
Web of science	15