Analysis of groundwater flow and stream depletion in L-shaped fluvial aquifers
Understanding the head distribution in aquifers is crucial for the evaluation of groundwater resources. This article develops a model for describing flow induced by pumping in an L-shaped fluvial aquifer bounded by impermeable bedrocks and two nearly fully penetrating streams. A similar scenario...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2018-04-01
|
| Series: | Hydrology and Earth System Sciences |
| Online Access: | https://www.hydrol-earth-syst-sci.net/22/2359/2018/hess-22-2359-2018.pdf |
| _version_ | 1818264928403849216 |
|---|---|
| author | C.-C. Lin Y.-C. Chang H.-D. Yeh |
| author_facet | C.-C. Lin Y.-C. Chang H.-D. Yeh |
| author_sort | C.-C. Lin |
| collection | DOAJ |
| description | Understanding the head distribution in aquifers is crucial for the evaluation
of groundwater resources. This article develops a model for describing flow
induced by pumping in an L-shaped fluvial aquifer bounded by impermeable
bedrocks and two nearly fully penetrating streams. A similar scenario for
numerical studies was reported in Kihm et al. (2007). The water level of the
streams is assumed to be linearly varying with distance. The aquifer is
divided into two subregions and the continuity conditions of the hydraulic
head and flux are imposed at the interface of the subregions. The
steady-state solution describing the head distribution for the model without
pumping is first developed by the method of separation of variables. The
transient solution for the head distribution induced by pumping is then
derived based on the steady-state solution as initial condition and the
methods of finite Fourier transform and Laplace transform. Moreover, the
solution for stream depletion rate (SDR) from each of the two streams is also
developed based on the head solution and Darcy's law. Both head and SDR
solutions in the real time domain are obtained by a numerical inversion
scheme called the Stehfest algorithm. The software MODFLOW is chosen to
compare with the proposed head solution for the L-shaped aquifer. The
steady-state and transient head distributions within the L-shaped aquifer
predicted by the present solution are compared with the numerical simulations
and measurement data presented in Kihm et al. (2007). |
| first_indexed | 2024-12-12T19:42:42Z |
| format | Article |
| id | doaj.art-7e514efff32c4320bae6bf343d6b7471 |
| institution | Directory Open Access Journal |
| issn | 1027-5606 1607-7938 |
| language | English |
| last_indexed | 2024-12-12T19:42:42Z |
| publishDate | 2018-04-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Hydrology and Earth System Sciences |
| spelling | doaj.art-7e514efff32c4320bae6bf343d6b74712022-12-22T00:14:10ZengCopernicus PublicationsHydrology and Earth System Sciences1027-56061607-79382018-04-01222359237510.5194/hess-22-2359-2018Analysis of groundwater flow and stream depletion in L-shaped fluvial aquifersC.-C. Lin0Y.-C. Chang1H.-D. Yeh2Institute of Environmental Engineering, National Chiao Tung University, Hsinchu, TaiwanTaiwan Typhoon and Flood Research Institute, National Applied Research Laboratories, Taipei, TaiwanInstitute of Environmental Engineering, National Chiao Tung University, Hsinchu, TaiwanUnderstanding the head distribution in aquifers is crucial for the evaluation of groundwater resources. This article develops a model for describing flow induced by pumping in an L-shaped fluvial aquifer bounded by impermeable bedrocks and two nearly fully penetrating streams. A similar scenario for numerical studies was reported in Kihm et al. (2007). The water level of the streams is assumed to be linearly varying with distance. The aquifer is divided into two subregions and the continuity conditions of the hydraulic head and flux are imposed at the interface of the subregions. The steady-state solution describing the head distribution for the model without pumping is first developed by the method of separation of variables. The transient solution for the head distribution induced by pumping is then derived based on the steady-state solution as initial condition and the methods of finite Fourier transform and Laplace transform. Moreover, the solution for stream depletion rate (SDR) from each of the two streams is also developed based on the head solution and Darcy's law. Both head and SDR solutions in the real time domain are obtained by a numerical inversion scheme called the Stehfest algorithm. The software MODFLOW is chosen to compare with the proposed head solution for the L-shaped aquifer. The steady-state and transient head distributions within the L-shaped aquifer predicted by the present solution are compared with the numerical simulations and measurement data presented in Kihm et al. (2007).https://www.hydrol-earth-syst-sci.net/22/2359/2018/hess-22-2359-2018.pdf |
| spellingShingle | C.-C. Lin Y.-C. Chang H.-D. Yeh Analysis of groundwater flow and stream depletion in L-shaped fluvial aquifers Hydrology and Earth System Sciences |
| title | Analysis of groundwater flow and stream depletion in L-shaped fluvial aquifers |
| title_full | Analysis of groundwater flow and stream depletion in L-shaped fluvial aquifers |
| title_fullStr | Analysis of groundwater flow and stream depletion in L-shaped fluvial aquifers |
| title_full_unstemmed | Analysis of groundwater flow and stream depletion in L-shaped fluvial aquifers |
| title_short | Analysis of groundwater flow and stream depletion in L-shaped fluvial aquifers |
| title_sort | analysis of groundwater flow and stream depletion in l shaped fluvial aquifers |
| url | https://www.hydrol-earth-syst-sci.net/22/2359/2018/hess-22-2359-2018.pdf |
| work_keys_str_mv | AT cclin analysisofgroundwaterflowandstreamdepletioninlshapedfluvialaquifers AT ycchang analysisofgroundwaterflowandstreamdepletioninlshapedfluvialaquifers AT hdyeh analysisofgroundwaterflowandstreamdepletioninlshapedfluvialaquifers |