Analytical solution for dissolution-timescale reactive transport in fluid-saturated porous rocks

Chongbin Zhao, B. E. Hobbs, A. Ord

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Reactive transport, in which chemical dissolution reactions dissolve dissolvable materials in fluid-saturated porous rocks, is very common in groundwater pollution and geoenvironmental engineering. Because of coupled porosity evolution and mass transport processes on the dissolution time scale, analytical solutions for dissolution-timescale reactive-transport problems were unavailable to date. This paper presents an analytical solution for the dissolution-timescale reactive-transport problem in a special case in which the acid dissolution capacity approached zero and the porosity change of the rock was small. The presented analytical solution showed that (1) the increase of the Zh number (a dimensionless number to represent the characteristic of a reactive-transport system) caused faster propagation of the planar reference dissolution front in the dissolution-timescale reactive-transport system; (2) with an increase in the dimensionless longitudinal dispersivity, there was a remarkable decrease in the critical dimensionless time; (3) the Zh number of a dissolution-timescale reactive- transport system significantly affected the dimensionless acid concentration distribution; (4) with an increase in the Zh number, there was an increase in the acid concentration ratio at the planar reference dissolution front; and (5) the consideration of the porosity evolution process in a reactive-transport system resulted in greater values of the dimensionless acid concentration than when this process was neglected.

Original languageEnglish
Article number04018037
Pages (from-to)1-10
Number of pages10
JournalInternational Journal of Geomechanics
Volume18
Issue number6
DOIs
Publication statusPublished - 1 Jun 2018

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reactive transport
porosity
rocks
dissolution
timescale
fluid
acids
environmental engineering
rock
acid value
groundwater contamination
chemical reactions
mass transfer
acid
dimensionless number
fluids
dispersivity
groundwater pollution
mass transport
transport process

Cite this

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abstract = "Reactive transport, in which chemical dissolution reactions dissolve dissolvable materials in fluid-saturated porous rocks, is very common in groundwater pollution and geoenvironmental engineering. Because of coupled porosity evolution and mass transport processes on the dissolution time scale, analytical solutions for dissolution-timescale reactive-transport problems were unavailable to date. This paper presents an analytical solution for the dissolution-timescale reactive-transport problem in a special case in which the acid dissolution capacity approached zero and the porosity change of the rock was small. The presented analytical solution showed that (1) the increase of the Zh number (a dimensionless number to represent the characteristic of a reactive-transport system) caused faster propagation of the planar reference dissolution front in the dissolution-timescale reactive-transport system; (2) with an increase in the dimensionless longitudinal dispersivity, there was a remarkable decrease in the critical dimensionless time; (3) the Zh number of a dissolution-timescale reactive- transport system significantly affected the dimensionless acid concentration distribution; (4) with an increase in the Zh number, there was an increase in the acid concentration ratio at the planar reference dissolution front; and (5) the consideration of the porosity evolution process in a reactive-transport system resulted in greater values of the dimensionless acid concentration than when this process was neglected.",
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Analytical solution for dissolution-timescale reactive transport in fluid-saturated porous rocks. / Zhao, Chongbin; Hobbs, B. E.; Ord, A.

In: International Journal of Geomechanics, Vol. 18, No. 6, 04018037, 01.06.2018, p. 1-10.

Research output: Contribution to journalArticle

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