Analytical Solution for the Steady-State Karst Water Inflow into a Tunnel
An analytical solution for the karst water inflow into a lined tunnel in an infinite plane is derived based on conformal mapping. The new solution considers the center distance between the tunnel and the cavern, the radii of the tunnel and the cavern, and the property of the lining, such as the perm...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Geofluids |
| Online Access: | http://dx.doi.org/10.1155/2019/1756856 |
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| _version_ | 1849410074160660480 |
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| author | Han-song Xie Chong Jiang Jia-li He Hai-xia Han |
| author_facet | Han-song Xie Chong Jiang Jia-li He Hai-xia Han |
| author_sort | Han-song Xie |
| collection | DOAJ |
| description | An analytical solution for the karst water inflow into a lined tunnel in an infinite plane is derived based on conformal mapping. The new solution considers the center distance between the tunnel and the cavern, the radii of the tunnel and the cavern, and the property of the lining, such as the permeability coefficient as well as the lining radius. Numerical models are established and calculated using the finite difference software FLAC3D to compare with the analytical solution of inversion transformation, and a good agreement is found. Then, the parameters of effect are discussed in detail. The results indicate that the karst water inflow shows a curve relationship as the radius of tunnel increase and increases as the lining becomes thinner or the permeability coefficient of the lining increases. Moreover, the pressure head decreases as the tunnel radius and the center distance between the tunnel and the cavern increase. |
| format | Article |
| id | doaj-art-765f21ee27ca4f3e8fbc29a50aa4a6a4 |
| institution | Kabale University |
| issn | 1468-8115 1468-8123 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Geofluids |
| spelling | doaj-art-765f21ee27ca4f3e8fbc29a50aa4a6a42025-08-20T03:35:16ZengWileyGeofluids1468-81151468-81232019-01-01201910.1155/2019/17568561756856Analytical Solution for the Steady-State Karst Water Inflow into a TunnelHan-song Xie0Chong Jiang1Jia-li He2Hai-xia Han3School of Resources and Safety Engineering, Central South University, Changsha, 410083 Hunan, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha, 410083 Hunan, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha, 410083 Hunan, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha, 410083 Hunan, ChinaAn analytical solution for the karst water inflow into a lined tunnel in an infinite plane is derived based on conformal mapping. The new solution considers the center distance between the tunnel and the cavern, the radii of the tunnel and the cavern, and the property of the lining, such as the permeability coefficient as well as the lining radius. Numerical models are established and calculated using the finite difference software FLAC3D to compare with the analytical solution of inversion transformation, and a good agreement is found. Then, the parameters of effect are discussed in detail. The results indicate that the karst water inflow shows a curve relationship as the radius of tunnel increase and increases as the lining becomes thinner or the permeability coefficient of the lining increases. Moreover, the pressure head decreases as the tunnel radius and the center distance between the tunnel and the cavern increase.http://dx.doi.org/10.1155/2019/1756856 |
| spellingShingle | Han-song Xie Chong Jiang Jia-li He Hai-xia Han Analytical Solution for the Steady-State Karst Water Inflow into a Tunnel Geofluids |
| title | Analytical Solution for the Steady-State Karst Water Inflow into a Tunnel |
| title_full | Analytical Solution for the Steady-State Karst Water Inflow into a Tunnel |
| title_fullStr | Analytical Solution for the Steady-State Karst Water Inflow into a Tunnel |
| title_full_unstemmed | Analytical Solution for the Steady-State Karst Water Inflow into a Tunnel |
| title_short | Analytical Solution for the Steady-State Karst Water Inflow into a Tunnel |
| title_sort | analytical solution for the steady state karst water inflow into a tunnel |
| url | http://dx.doi.org/10.1155/2019/1756856 |
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