Analytical Solution for Fractional Well Flow in a Double-Porosity Aquifer with Fractional Transient Exchange between Matrix and Fractures
An analytical solution is presented for groundwater flow to a well in an aquifer with double-porosity behavior and transient transfer between fractures and matrix. The solution is valid for fractional flow dimensions including linear, cylindrical or spherical flow to the well and for fractional inte...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Water |
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| Online Access: | https://www.mdpi.com/2073-4441/14/3/456 |
| _version_ | 1797484025997164544 |
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| author | Florimond De Smedt |
| author_facet | Florimond De Smedt |
| author_sort | Florimond De Smedt |
| collection | DOAJ |
| description | An analytical solution is presented for groundwater flow to a well in an aquifer with double-porosity behavior and transient transfer between fractures and matrix. The solution is valid for fractional flow dimensions including linear, cylindrical or spherical flow to the well and for fractional inter-porosity diffusive transfer including release from storage in infinite slabs, infinite cylinders or spherical matrix blocks. Approximations are also presented for small and large times that are easy to evaluate in practice. The solution can be used to analyze pumping tests via coupling with a parameter estimation code. The utility of the method is demonstrated by a practical example using data from a pumping test performed in a fractured chalk aquifer. The analytical solution allows the accurate modeling of pumping tests and the estimation of aquifer parameters that are statistically significant and physically relevant. |
| first_indexed | 2024-03-09T22:55:34Z |
| format | Article |
| id | doaj.art-d45420a211964b5984a1dc562baf47b6 |
| institution | Directory Open Access Journal |
| issn | 2073-4441 |
| language | English |
| last_indexed | 2024-03-09T22:55:34Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Water |
| spelling | doaj.art-d45420a211964b5984a1dc562baf47b62023-11-23T18:12:04ZengMDPI AGWater2073-44412022-02-0114345610.3390/w14030456Analytical Solution for Fractional Well Flow in a Double-Porosity Aquifer with Fractional Transient Exchange between Matrix and FracturesFlorimond De Smedt0Department of Hydrology and Hydraulic Engineering, Vrije Universiteit Brussel, 1050 Brussels, BelgiumAn analytical solution is presented for groundwater flow to a well in an aquifer with double-porosity behavior and transient transfer between fractures and matrix. The solution is valid for fractional flow dimensions including linear, cylindrical or spherical flow to the well and for fractional inter-porosity diffusive transfer including release from storage in infinite slabs, infinite cylinders or spherical matrix blocks. Approximations are also presented for small and large times that are easy to evaluate in practice. The solution can be used to analyze pumping tests via coupling with a parameter estimation code. The utility of the method is demonstrated by a practical example using data from a pumping test performed in a fractured chalk aquifer. The analytical solution allows the accurate modeling of pumping tests and the estimation of aquifer parameters that are statistically significant and physically relevant.https://www.mdpi.com/2073-4441/14/3/456well flowpumping testdouble-porosityfractured rockanalytical solution |
| spellingShingle | Florimond De Smedt Analytical Solution for Fractional Well Flow in a Double-Porosity Aquifer with Fractional Transient Exchange between Matrix and Fractures Water well flow pumping test double-porosity fractured rock analytical solution |
| title | Analytical Solution for Fractional Well Flow in a Double-Porosity Aquifer with Fractional Transient Exchange between Matrix and Fractures |
| title_full | Analytical Solution for Fractional Well Flow in a Double-Porosity Aquifer with Fractional Transient Exchange between Matrix and Fractures |
| title_fullStr | Analytical Solution for Fractional Well Flow in a Double-Porosity Aquifer with Fractional Transient Exchange between Matrix and Fractures |
| title_full_unstemmed | Analytical Solution for Fractional Well Flow in a Double-Porosity Aquifer with Fractional Transient Exchange between Matrix and Fractures |
| title_short | Analytical Solution for Fractional Well Flow in a Double-Porosity Aquifer with Fractional Transient Exchange between Matrix and Fractures |
| title_sort | analytical solution for fractional well flow in a double porosity aquifer with fractional transient exchange between matrix and fractures |
| topic | well flow pumping test double-porosity fractured rock analytical solution |
| url | https://www.mdpi.com/2073-4441/14/3/456 |
| work_keys_str_mv | AT florimonddesmedt analyticalsolutionforfractionalwellflowinadoubleporosityaquiferwithfractionaltransientexchangebetweenmatrixandfractures |