• Proceedings of the Korea Water Resources Association Conference
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• 2016.05a
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• pp.327-327
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• 2016

하천 인근에서 지하수를 채수할 경우 지하수위 저하로 인해 하천으로의 지하수 유출이 감소하거나 하천수가 역으로 지하수계로 유입되어 하천수 감소(stream depletion) 현상이 발생한다. 이러한 지하수 양수로 인한 하천수 감소량을 산정하기 위한 방법으로 현지 계측, 수치해석 모델링, 해석해 적용 등이 있으며, 이 중에서 해석해를 이용하는 방법은 실제 하천수-지하수 연계시스템을 단순화한 조건에서 유도되었다는 단점이 있지만 비용이나 시간적 측면에서는 가장 유리하다. 본 연구에서는 Hunt(1999)가 개발한 해석해를 전산프로그램화하고 이를 하천변에 위치한 실제 지하수 관정 109개에 적용하여 양수로 인한 지하수위 강하 및 하천수 감소량을 산정하여 대수층 및 하천의 수리특성, 하천과 관정간의 이격거리에 따른 변동 특성을 분석하였다. Hunt 해석해로 양수 시간에 따른 하천수 감소량을 계산한 결과, 양수후 5년 뒤에는 지하수 양수량 대비 하천수 감소량의 비율이 80%를 초과하는 관정이 대부분인 것으로 나타났으며, 특히 수리확산계수가 $1,000m^2/d$를 넘고 하천고갈인자(Stream Depletion Factor, SDF)값이 100 보다 작은 범위에서는 양수의 영향이 크게 발생하는 것으로 분석되었다.

• Journal of Korea Water Resources Association
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• v.49 no.11
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• pp.923-930
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• 2016

This study was to evaluate the stream depletion from groundwater pumping in shallow aquifer using the Hunt's analytical solution (2009) which considers a two-layer leaky aquifer-stream system. From the total 2,187 cases of simulations with combinations of various aquifer and stream properties, the streamflow depletion rates divided by the groundwater pumping rate showed the low values when the stream depletion factor (SDF) is higher than 1,000-10,000, and was more sensitive to the aquitard hydraulic conductivity than the streambed hydraulic conductivity. The comparison of the Hunt's solution (2009) with the Hunt's solution (1999) of a single layer aquifer indicated that the maximum difference between the dimensionless stream depletions calculated by using both solutions is above 0.3, and the stream depletion is significantly affected by the hydraulic properties of the $2^{nd}$ layer as the SDF of the first layer increases. The Hunt's solution (2009) was applied to the real shallow groundwater well that is located in Chunju-Si, and the results revealed that the groundwater pumping has significant effects on streamflow in a short period of time, showing that the dimensionless stream depletion exceeds 0.8 within a few days. It was also found that the shallow groundwater pumping effects on stream depletion are highly dependent on the stream-well distance for the locations with high hydraulic diffusivity of $1^{st}$ layer and low vertical leakance between $1^{st}$ and $2^{nd}$ layers.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.40 no.6
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• pp.555-561
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• 2020

In this study, the applicability of Hunt's analytical solution for a two-layered leaky aquifer system, which was developed to estimate stream depletion due to the groundwater pumping of the upper shallow aquifer, was evaluated. The 5-year averaged stream depletions were estimated using Hunt's analytical solution for various combinations of hydraulic characteristic values such as transmissivity, storage coefficient of the two aquifers, interlayer leakage coefficient, stream-well distance, hydraulic conductivity of the streambed, and stream width. Through comparison with the numerical solution accurately simulated with a MODFLOW groundwater flow model, the analytical solution derived by regarding the stream width as a point was evaluated. It was found that the error in the stream depletion calculated by the analytical solution can be reduced to less than 0.05 when the stream-well distance is greater than the stream width or when the stream depletion factor (SDF) is more than about 3,000 days. In addition, when the streambed hydraulic conductivity is less than 1 m/d, the hydraulic diffusion coefficient of the lower aquifer layer is less than 100 ㎡/d, the hydraulic diffusion coefficient ratio of the upper and lower aquifer layers is 5 or more, and the leakage coefficient between the layers is less than 0.0004 m/d, the overall analytical solutions were overestimated compared with the numerical solutions.

• Journal of Korea Water Resources Association
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• v.51 no.2
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• pp.99-107
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• 2018

This study was to evaluate the stream depletion due to groundwater pumping from 17 wells near the Anseongcheon upper stream using the Baalousha's analytical solution (2012) which directly considers stream width and streambed hydraulic conductivity. The input hydraulic values of aquifer and streambed were obtained from the pumping tests and seepage experiments. The estimated streamflow depletion rates divided by pumping rate (dimensionless stream depletion) showed a range from 0.23 to 0.89 for 5 year pumping. In particular, the results revealed that the groundwater pumping has insignificant effects on streamflow when the stream depletion factor (SDF) is higher than 1,000 with values of dimensionless stream depletion lower than 0.4. A more simple Hunt's solution (1999) also applied to the same wells, and the results showed that the difference between the dimensionless stream depletions calculated by using both solutions could be negligible. From the comparison of the Baalousha's solution (2012) with the Hunt's solution (1999) with total 3,000 cases of simulations with combinations of various aquifer and stream properties, the stream-well distance should be more longer than stream width for reducing the discrepancy between both solutions.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.18 no.4
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• pp.308-320
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• 2006

An analytic solution to the mild-slope equation is derived for waves propagating over an axi-symmetric pit. The water depth inside the pit varies in proportion to a power of radial distance from the pit center. The governing equation is transformed into ordinary differential equations by using separation of variables, and the coefficients of the equations are transformed into explicit forms by using Hunt's (1979) approximate solution. Finally, by using the Frobenius series, the analytic solution is derived. Due to the feature of Hunt's equation, the present analytic solution is accurate in shallow and deep waters, while it is less accurate in intermediate depth water. The validity of the analytic solution is demonstrated by comparison with numerical solutions. The analytic solution is also used to examine the effects of pit geometry and relative depth on wave transformation.

• Proceedings of the Korea Water Resources Association Conference
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• 2017.05a
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• pp.385-385
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• 2017

지하수 관정의 위치에 따라 대수층과 인근 하천의 수리특성이 다양하여 하천수량에 미치는 지하수 양수의 영향이 공간적으로 다르게 발생하며, 그 영향을 지도(map)상에 표출한 것을 가칭 지하수 양수 영향구역도(국토교통부, 2014)라 한다. 본 연구에서는 황구지천 하류유역에 대해 하천주변 천부대수층 지하수 양수에 따른 하천수 감소량을 Hunt(1999, 2009)의 해석해로 산정하고 그 결과를 바탕으로 지하수 양수 영향구역도를 작성하였다. 지하수 양수 영향구역도 작성에 필요한 입력자료를 구축하기 위해서 현장에서 직접 양수시험을 수행하여 대수층 수리상수를 산정하고 기존 문헌값을 함께 이용하여 수리상수의 공간분포도를 작성하였다. 또한 양수시험공에 인접한 하천의 바닥에 피조미터 및 시피지미터를 설치하여 하상수리전도도를 측정하였다. 하천주변 및 하상의 수리상수값을 Hunt 해석해에 대입하여 지하수 양수량 대비 하천수 감소율을 30m 크기의 셀 단위로 산정하고 이를 구글어스상에 공간적으로 표출하였다. 하천구역에서 300m 이내 지역에서 지하수를 양수할 경우에는 양수기간 5년동안 평균적으로 양수량의 70%를 초과하는 하천수량의 감소가 일어나는 것으로 분석되었다. 지하수 양수 영향구역도를 활용하면 지하수 개발 이용자 및 허가 관련 행정기관이 지하수 관정의 공간적인 위치에 따른 하천수 감소 정도를 정량적으로 쉽게 파악할 수 있다.

• Journal of Korea Water Resources Association
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• v.52 no.7
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• pp.483-492
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• 2019

An analytical model was developed to estimate the stream depletion due to cyclic groundwater pumping by extending the Hunt's analytical solution which was derived from considering the hydraulic characteristics of the aquifer and the streambed. The model was applied to analyze the long-term effects of groundwater pumping on stream depletion during irrigation season. For the case of a total of 1,500 conditions according to various aquifer and streambed hydraulic characteristics and stream-well distance, the stream depletion due to cyclic groundwater pumping for 10 years was calculated and the results were graphically represented. Especially, the maximum and average stream depletion rates were calculated and compared with the results for continuous groundwater pumping. Furthermore, considering both stream depletion and return flow rates, the limit hydraulic condition that minimizes the influence of groundwater pumping for irrigation water supply on stream depletion was suggested.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.28 no.1B
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• pp.111-114
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• 2008

Explicit solutions of the wave dispersion equation are developed using the recursive relation in terms of the relative water depth. We use the solutions of Eckart (1951), Hunt (1979), and the deep-water and shallow-water solutions for initial values of the solution. All the recursive solutions converge to the exact one except that with the initial value of deep-water solution. The solution with the initial value by Hunt converged much faster than the others. The recursive solutions may be obtained quickly and simply by a hand calculator. For the transformation of linear water waves in whole water depth, the use of the recursive solutions will yield more accurate analytical solutions than use of previously developed explicit solutions.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.37 no.6
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• pp.1001-1008
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• 2017

This study was to evaluate the stream depletion rate from groundwater pumping with varying stream-well distance, aquifer transmissivity, storage coefficient, leakage coefficient, streambed hydraulic conductance using the Zlotnik and Tartakovsky analytical solution which considers a two-layer leaky aquifer-stream-well system. For the hydraulic conditions applied in this study, the streambed hydraulic conductance and the aquitard leakage coefficient were assessed to have a dominant influence on the stream depletion rate. In order to evaluate the applicability of Zlotnik and Tartakovsky analytical solution ignoring the change in the drawdown in the lower aquifer and applying the fixed head boundary condition, the solution was compared with Hunt analytical solution derived from the more practical conditions simultaneously taking into account the drawdown changes in the upper and lower aquifers. As a result, the Zlotnik and Tartakovsky analytical solution is suitable for predicting short-term effects of less than one year in the pumping period, and when the stream depletion factor (SDF) is greater than 2,500 days, or when the product of the leakage coefficient and the stream-well distance is less than 10 cm/s.

• Proceedings of the Korea Water Resources Association Conference
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• 2018.05a
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• pp.294-294
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• 2018

복잡한 수문 수리지질학적 조건을 고려할 수 있는 SWAT-MODFLOW 지표수-지하수 통합모형과 대수층-하천-양수정 시스템을 단순화한 Hunt (1999) 해석해를 죽산천 인근 지역에 각각 적용하여 지하수 양수로 인한 하천수 감소량을 모의하고 그 결과를 비교하였다. 하천으로부터 약 1 km 이내에 위치한 천부 지하수 관정들 중에서 취수계획량이 $100m^3$/일을 초과하는 18개의 관정을 선별하고 지하수 양수량 대비 하천수 감소량(하천수 감소비)을 산정한 결과 대부분의 관정에서 해석해와 모델링 결과의 차이가 0.2 미만으로 매우 작은 것으로 나타났다. 따라서 해석해가 하천-대수층 시스템을 단순화한 조건에 대해 유도되었음에도 불구하고 정밀한 모델링에 준하는 결과를 나타낼 수 있는 것으로 분석되었다. 그러나, 양수기간이 장기화되거나 하천과 관정간의 이격거리가 증가함에 따라 해석해와 모의결과의 차이가 다소 증가하는 경향을 나타내었다. 해석해가 대수층 저류량의 감소와 하천수량의 감소가 장기적으로 균형을 이루는 동적 평형 상태를 구현할 수 없고 하천수위의 급격한 변화에 따른 하천수와 지하수간의 상호 교환량의 불규칙한 패턴 또한 모사할 수 없는 한계가 있지만 양수기간 5년 이내의 하천수 감소량의 평균적인 거동은 수치모의 결과와 유사한 것으로 평가되었다.