피압대수층의 비정상흐름을 해석하는 방법에 대한 비교

Abstract

지하수 흐름은 물리적인 모형과 수학적인 모형을 통해 해석할 수 있는데 광역규모의 지하수 거동과 같이 복잡한 경계조건과 불균일한 내부조건을 가지고 있는 해석대상은 물리적인 모형으로 근사화 하기 어려우므로 수학적인 모형을 사용해야 한다. 지하수 흐름의 수학적인 해석방법은 이론해법, 도해법 및 수치해석 등이 있으며 최근에는 컴퓨터의 발전에 따라 수치해석의 이용이 일반화 되어지고 있다. 수치해석은 기본방정식을 전산화하여 근사적으로 풀이하는 방법이며 기본방정식에는 각종의 계수가 포함되어져 있다. 비정상 지하수 흐름의 기본방정식에는 투수량계수와 저류계수가 포함되어져 있으며 이들 계수는 관 측정에서 측정한 수위강하 자료와 Theis식을 이용하여 구할 수 있다. Theis해석은 도해적인 방법으로 다소 주관적이므로 많은 연구자들에 의해 자동화 시스템을 구축하는 방향으로 보완되어져 왔으며 현재는 계산자의 주관이 개?鍍? 소지가 많이 제거 되어져 가고 있다. 그러나 이렇게 해서 구한 값들일지라도 기본방정식에 입력되어 지하수 흐름을 해석하고 있는 실정이므로 Theis식으로 구한 투수량계수와 저류계수를 기본방정식에 입력한 후 계산한 결과와 이러한 계수를 결정하기 위한 수위강하자료가 다른값일 경우에 Theis식은 의미가 없어진다. 지금까지 Theis식의 해석에 대한 연구는 계산자의 주관이 개입될 소지를 제거하는 방향으로만 진행되어져 왔으나 본연구를 통해 기본방정식과의 관계를 비교하여 Theis식을 이용할 수 있는 범위를 제시한다.

The flow of the groundwater is analyzed with a physical model and a mathematical model. the place like the flow of the groundwater with complicated boundry condition and unequalized inner condition is not easy to analyze with a physical model. So we must use the mathematical model. There are theory analysis, drawing analysis, and numerical analysis in the mathematical analysis of the flow of the groundwater. Nowadays the numerical analysis is generalized due to the development of computers. The numerical analysis is the method which approxiate basic equations by computerizing an the basic equation includs several kinds of coefficients. The basic equations of unsteady state flow include transmissivity, storativity. These are obtained with the drawdown date measured at the observation well and Theis'equation. Theis analysis is a kind of drawing method which is subjective, so many researchers improve to build automatic system and now the counter's subject is being excluded much. But because these values are input to the basic equation. When we input the transmissivity and storativity with theis'equation to the basic equation get the values and the drawdown data different, Theis'equation is useless. Until now the research of the Theis'equation has being progressed by excluding the counter'subject. Through this paper compared the basic equation what Theis'equation, suggested the range of using the Theis'equation.

The flow of the groundwater is analyzed with a physical model and a mathematical model. the place like the flow of the groundwater with complicated boundry condition and unequalized inner condition is not easy to analyze with a physical model. So we must use the mathematical model. There are theory analysis, drawing analysis, and numerical analysis in the mathematical analysis of the flow of the groundwater. Nowadays the numerical analysis is generalized due to the development of computers. The numerical analysis is the method which approxiate basic equations by computerizing an the basic equation includs several kinds of coefficients. The basic equations of unsteady state flow include transmissivity, storativity. These are obtained with the drawdown date measured at the observation well and Theis'equation. Theis analysis is a kind of drawing method which is subjective, so many researchers improve to build automatic system and now the counter's subject is being excluded much. But because these values are input to the basic equation. When we input the transmissivity and storativity with theis'equation to the basic equation get the values and the drawdown data different, Theis'equation is useless. Until now the research of the Theis'equation has being progressed by excluding the counter'subject. Through this paper compared the basic equation what Theis'equation, suggested the range of using the Theis'equation.