Journal of Korea Water Resources Association (한국수자원학회논문집)

Korea Water Resources Association (한국수자원학회)
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Effective Method for Analysis of Heterogeneous Porous Media

비균질 다공성 매질의 효율적 해석 방법

  • Published : 1998.08.01
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Abstract

The existing methods to analyze the heterogeneous porous media based on the similar media concept are the microscopic Miller similitude(MiS), the macroscopic Miller similitude(MaS) and the Warrick similitude(WS). The inter-relationship is found such that MiS ⊂ MaS ⊂ (⊂:subset). The proposed method is based ont eh assumption that the scale variables $\alpha$=w and the moisture content is dimensionless by introducing the effective degree of saturation instead of the degree of saturation into WS. The method, without the loss of generality in view of the inspectional analysis, can explain the heterogeneity of the media by using the scale variable $\alpha$ only. The media of $\alpha$=1 (average of $\alpha$) means the equivalent media corresponding to the heterogeneous media, while the standard deviation of $\alpha$ may explain the degree of the heterogeneity of the media under consideration. The hydraulic conductivity of the media with $\alpha$>1 is greater than that of the equivalent media, and the effective moisture content of the media with $\alpha$>1 is also greater. Based on these properties of the scale variable $\alpha$, the ideal vertical one-dimensional heterogeneous porous media is generated by using the technique of random number generation.

유사매질개념에 의하여 비균질 다공성 매질을 설명할 수 있는 기존의 방법은 미시 밀러 상사(Mis), 거시 밀러 상사(MaS)와 웨릭 상사(WS)로 나눌 수 있고, 그들간의 관계는 MiS ⊂ MaS⊂ WS(⊂: subset)임을 알 수 있었다. 본 연구에서 제안한 방법은 WS에서 축적변수 $\alpha$=w 로 가정하고 함수량을 포화도 대신 유효포화도로 축적한 것이다. 이 방법은 검사해석의 관점에서 일반성이 결여되지 않고, 축적변수 $\alpha$만으로 비균질 매질을 설명할 수 있다. 즉 =1($\alpha$의 평균값)인 매질은 비균질 매질에 상응하는 등가매질을 의미하고, $\alpha$의 표준편차는 다공성 매질의 비균질 정도를 설명한다. $\alpha$>1인 매질의 특수계수는 등가매질의 투수계수보다 크며 또한 유효함수량은 $\alpha$>1인 매질에서 크게 나타난다. 이와같은 $\alpha$의 성질을 이용하여 가상적인 여직 1차원 비균질 다공성 매질을 난수 발생기법으로 생성하였다.

Keywords

References

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