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Research Article

A Numerical study on characteristics of fluid flow in a three-dimensional discrete fracture network with variation of length distributions of fracture elements

3차원 이산 균열망 흐름장에서 균열요소의 길이분포 변화에 따른 내 유체 흐름 특성에 관한 수치적 연구

Woochang Jeonga*
정 우창a*
aAssociate Professor, Department of Civil Engineering, Kyungnam University, Changwon, Korea
a경남대학교 공과대학 토목공학과 부교수
* Corresponding Author
28 February 2019. pp. 149-161
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Abstract

In this study, the effect of the fluid flow characteristics on the length distribution of the fracture elements composing the fracture network is analyzed numerically using the 3D fracture crack network model. The truncated power-law distribution is applied to generate the length distribution of the fracture elements and the simulations of fluid flow are carried out with the exponent 𝛽l from 1.0 to 6.0. As a result of simulations, when the exponent 𝛽l increases, the length distribution of the fracture elements gradually decreases, and the connectivity between the fracture elements affecting the permeability of the fracture network becomes weak. When we analyzed the distributions of flow rate calculated at each fracture element with the exponent 𝛽l, the mean flow rate at 𝛽l= 1.0 was estimated to be about 447 times larger than that at 𝛽l= 6.0 and for the flow calculated at the outflow boundary of the fracture network, the case of 𝛽l=1.0 was estimated to be 6,440 times larger than that of 𝛽l= 6.0.

Keywords
Discrete fracture network
Truncated power law distribution
Connectivity
Fracture elements

본 연구에서는 3차원 이산 균열망 수치모형을 이용하여 균열망을 구성하는 균열요소의 길이분포가 유체 흐름 특성이 미치는 영향에 대해 수치적으로 분석하였다. 균열요소의 길이분포의 생성을 위해 절단멱분포법칙을 적용하였으며, 지수 𝛽l을 1.0에서부터 6.0까지 변화시키면서 유체 흐름 모의를 수행하였다. 모의결과 지수 𝛽l이 증가함에 따라 균열요소들의 길이분포는 점차적으로 작아지며, 이로 인해 균열망의 투수성에 영향을 미치는 균열요소들 간의 연결성은 취약해지는 것으로 나타났다. 각각의 지수 𝛽l에 대해 균열요소 각각에서 계산된 유량분포를 분석하였을 때 𝛽l= 1.0에서의 평균유량이 𝛽l= 6.0에 비해 약 447배 크게 산정되었으며, 균열망의 유출경계에서 계산된 유량의 경우 𝛽l= 1.0일 때가 6.0에 비해 약 6,440배 크게 산정되었다.

키워드
이산 균열망
절단멱분포법칙
연결성
균열요소
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Information
  • Publisher :KOREA WATER RESOURECES ASSOCIATION
  • Publisher(Ko) :한국수자원학회
  • Journal Title :Journal of Korea Water Resources Association
  • Journal Title(Ko) :한국수자원학회 논문집
  • Volume : 52
  • No :2
  • Pages :149-161
  • Received Date : 2018-12-13
  • Revised Date : 2019-01-08
  • Accepted Date : 2019-01-08
  • DOI :https://doi.org/10.3741/JKWRA.2019.52.2.149
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