Reactive Transport Model of Gypsum Karstification in Physically and Chemically Heterogeneous Fractured Media

Gypsum dissolution leads to the development of karstic features within much shorter timescales than in other sedimentary rocks, potentially leading to rapid deterioration of groundwater quality and increasing the risk of catastrophes caused by subsidence. Here, we present a 2-D reactive transport mo...

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Main Authors: Jesús F. Águila, Javier Samper, Belén Buil, Paloma Gómez, Luis Montenegro
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/15/3/761
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author Jesús F. Águila
Javier Samper
Belén Buil
Paloma Gómez
Luis Montenegro
author_facet Jesús F. Águila
Javier Samper
Belén Buil
Paloma Gómez
Luis Montenegro
author_sort Jesús F. Águila
collection DOAJ
description Gypsum dissolution leads to the development of karstic features within much shorter timescales than in other sedimentary rocks, potentially leading to rapid deterioration of groundwater quality and increasing the risk of catastrophes caused by subsidence. Here, we present a 2-D reactive transport model to evaluate gypsum karstification in physically and chemically heterogeneous systems. The model considers a low-permeability rock matrix composed mainly of gypsum and a discontinuity (fracture), which acts as a preferential water pathway. Several scenarios are analyzed and simulated to investigate the relevance for gypsum karstification of: (1) the dynamic update of flow and transport parameters due to porosity changes; (2) the spatial distribution of minerals in the rock matrix; (3) the time evolution of water inflows through the boundaries of the model; (4) the functions relating permeability, <i>k</i>, to porosity, <i>ϕ</i>. The average porosity of the matrix after 1000 years of simulation increases from 0.045 to 0.29 when flow, transport, and chemical parameters and the water inflows through the boundary are dynamically updated according to the porosity changes. On the contrary, the porosity of the matrix hardly changes when the porosity feedback effect is not considered, while its average increases to 0.13 if the water inflow occurs through the discontinuity. Moreover, the dissolution of small amounts of highly soluble sulfate minerals plays a major role in the development of additional fractures. The increase in hydraulic conductivity is largest for the power law with an exponent of <i>n</i> = 5, as well as the Kozeny-Carman and the modified Fair-atch <i>k-ϕ</i> relationships. The gypsum dissolution front propagates into the matrix faster when the power law with <i>n</i> = 2 and 3 and the Verma–Pruess <i>k-ϕ</i> relationships are used.
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spelling doaj.art-b6180eadebd54b31a6479d6c7306156c2023-11-23T16:19:27ZengMDPI AGEnergies1996-10732022-01-0115376110.3390/en15030761Reactive Transport Model of Gypsum Karstification in Physically and Chemically Heterogeneous Fractured MediaJesús F. Águila0Javier Samper1Belén Buil2Paloma Gómez3Luis Montenegro4Center for Advanced Scientific Research (CICA), Civil Engineering School, Campus de Elviña, University of A Coruña, 15071 A Coruña, SpainCenter for Advanced Scientific Research (CICA), Civil Engineering School, Campus de Elviña, University of A Coruña, 15071 A Coruña, SpainCenter for Energy, Environment and Technology Research (CIEMAT), 28040 Madrid, SpainCenter for Energy, Environment and Technology Research (CIEMAT), 28040 Madrid, SpainCenter for Advanced Scientific Research (CICA), Civil Engineering School, Campus de Elviña, University of A Coruña, 15071 A Coruña, SpainGypsum dissolution leads to the development of karstic features within much shorter timescales than in other sedimentary rocks, potentially leading to rapid deterioration of groundwater quality and increasing the risk of catastrophes caused by subsidence. Here, we present a 2-D reactive transport model to evaluate gypsum karstification in physically and chemically heterogeneous systems. The model considers a low-permeability rock matrix composed mainly of gypsum and a discontinuity (fracture), which acts as a preferential water pathway. Several scenarios are analyzed and simulated to investigate the relevance for gypsum karstification of: (1) the dynamic update of flow and transport parameters due to porosity changes; (2) the spatial distribution of minerals in the rock matrix; (3) the time evolution of water inflows through the boundaries of the model; (4) the functions relating permeability, <i>k</i>, to porosity, <i>ϕ</i>. The average porosity of the matrix after 1000 years of simulation increases from 0.045 to 0.29 when flow, transport, and chemical parameters and the water inflows through the boundary are dynamically updated according to the porosity changes. On the contrary, the porosity of the matrix hardly changes when the porosity feedback effect is not considered, while its average increases to 0.13 if the water inflow occurs through the discontinuity. Moreover, the dissolution of small amounts of highly soluble sulfate minerals plays a major role in the development of additional fractures. The increase in hydraulic conductivity is largest for the power law with an exponent of <i>n</i> = 5, as well as the Kozeny-Carman and the modified Fair-atch <i>k-ϕ</i> relationships. The gypsum dissolution front propagates into the matrix faster when the power law with <i>n</i> = 2 and 3 and the Verma–Pruess <i>k-ϕ</i> relationships are used.https://www.mdpi.com/1996-1073/15/3/761gypsum karstificationreactive transport modeldissolutionporosity changespermeability-porosity relationshipfractured media
spellingShingle Jesús F. Águila
Javier Samper
Belén Buil
Paloma Gómez
Luis Montenegro
Reactive Transport Model of Gypsum Karstification in Physically and Chemically Heterogeneous Fractured Media
Energies
gypsum karstification
reactive transport model
dissolution
porosity changes
permeability-porosity relationship
fractured media
title Reactive Transport Model of Gypsum Karstification in Physically and Chemically Heterogeneous Fractured Media
title_full Reactive Transport Model of Gypsum Karstification in Physically and Chemically Heterogeneous Fractured Media
title_fullStr Reactive Transport Model of Gypsum Karstification in Physically and Chemically Heterogeneous Fractured Media
title_full_unstemmed Reactive Transport Model of Gypsum Karstification in Physically and Chemically Heterogeneous Fractured Media
title_short Reactive Transport Model of Gypsum Karstification in Physically and Chemically Heterogeneous Fractured Media
title_sort reactive transport model of gypsum karstification in physically and chemically heterogeneous fractured media
topic gypsum karstification
reactive transport model
dissolution
porosity changes
permeability-porosity relationship
fractured media
url https://www.mdpi.com/1996-1073/15/3/761
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