CAJ | 학술논문

针对河渠间潜水的一维非稳定运动，考虑了补给强度的时变性，根据Boussinesq方程的第一线性化方法，应用Duhamel原理得到了方程的解析解，进一步得出补给强度为指数函数和三角函数的潜水位计算公式。通过算例分析补给强度指数增加、指数衰减和正弦函数变化条件下潜水面的变化特征，指数增加条件下潜水位单调增加，分水岭从高水位一侧向河间地块中部移动；指数衰减条件下潜水位先增大，后减小，具有一个峰值，分水岭先从高水位一侧向河间地块中部移动，之后随补给强度减弱返回到高水位河渠；正弦函数变化条件下潜水位表现出周期性起伏变化，且水位对补给的响应具有明显的时滞性，分水岭在高水位河渠与河间地块中部之间往复移动。研究结果可为量化分析地下水系统对气候变化的响应以及地表水地下水转化规律等问题提供理论依据。
침대하거간잠수적일유비은정운동，고필료보급강도적시변성，근거Boussinesq방정적제일선성화방법，응용Duhamel원리득도료방정적해석해，진일보득출보급강도위지수함수화삼각함수적잠수위계산공식。통과산례분석보급강도지수증가、지수쇠감화정현함수변화조건하잠수면적변화특정，지수증가조건하잠수위단조증가，분수령종고수위일측향하간지괴중부이동；지수쇠감조건하잠수위선증대，후감소，구유일개봉치，분수령선종고수위일측향하간지괴중부이동，지후수보급강도감약반회도고수위하거；정현함수변화조건하잠수위표현출주기성기복변화，차수위대보급적향응구유명현적시체성，분수령재고수위하거여하간지괴중부지간왕복이동。연구결과가위양화분석지하수계통대기후변화적향응이급지표수지하수전화규률등문제제공이론의거。
Taking account of exponentially and periodically time-varying recharge,water table fluctuation be-tween two parallel ditches was studied.The analytical solution was derived based on the first linearization method of Boussinesq equation,and Duhamel principle.This paper analyzed the characteristics of phreatic water move-ment by using three kinds of recharge rate functions including exponent-increase,exponent-decay,and sine func-tion.In the first case,water table rises monotonously with the increasing recharge rate;and watershed between the two ditches moves from the higher level side towards the other sides,but will never cross the middle line of the aquifer.In the exponent-decay case,water table goes up at the beginning,then falls after reaching a peak value;watershed firstly moves towards the middle of the aquifer,then turns back to the higher level side due to the decli-ning recharge rate.In the last case,water table periodically fluctuates corresponding to the sine function recharge;and there is a significant time lag between the stimulator and the respond;watershed sways back and forth between the higher level ditch and the middle of the aquifer.The results can be a clue to study the response of groundwater system to climate change,in addition to the transition rule between surface and ground water.