[논문]경상분지 백악기 화강암 암반에 대한 삼차원 수리전도텐서 추정사례

엄정기; 이다혜

doi:10.9720/kseg.2022.1.041

경상분지 백악기 화강암 암반에 대한 삼차원 수리전도텐서 추정사례
Estimation of 3-D Hydraulic Conductivity Tensor for a Cretaceous Granitic Rock Mass: A Case Study of the Gyeongsang Basin, Korea 원문보기

지질공학 = The journal of engineering geology, v.32 no.1, 2022년, pp.41 - 57

엄정기 (부경대학교 에너지자원공학과) , 이다혜 (한국농어촌공사 기술기준부)

초록
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본 연구는 부산 기장지역에 분포하는 백악기 흑운모 화강암에 대한 사례연구를 통하여 DFN(discrete fracture network) 유동해석 기반의 REV(representative elementary volume) 크기 및 삼차원 수리전도텐서 추정을 위한 워크플로우를 제시하였다. 연구지역을 대표하는 이차원 DFN에 대하여 절리텐서의 일차불변량을 이용하여 절리의 빈도 및 길이가 보정되었다. 현장수압시험을 수행하여 선형의 등가유로관으로 취급된 현장의 절리에 대한 유효수리간극이 추정되었다. 연구지역의 이차원 DFN 블록에 대한 REV의 크기는 블록 크기에 따른 지향적 블록수리전도도의 변화를 분석하여 20 m × 20 m으로 결정하였다. 연구지역의 이차원 DFN에 대하여 산정된 지향적 블록수리전도도는 현장의 수리적 거동과 관련하여 강한 이방성을 지시한다. 다양한 방향으로의 이차원 DFN에서 산정된 지향적 블록수리전도도를 바탕으로 연구지역의 절리성 암반에 대한 삼차원 수리전도텐서가 추정되었다. 삼차원 수리전도텐서의 주성분 방향은 현장에서 구분된 주 절리군의 방향과 일치한다.

Abstract ▼ AI-Helper

A workflow is presented to estimate the size of a representative elementary volume and 3-D hydraulic conductivity tensor based on fluid flow analysis for a discrete fracture network (DFN). A case study is considered for a Cretaceous granitic rock mass at Gijang in Busan, Korea. The intensity and size of joints were calibrated using the first invariant of the fracture tensor for the 2-D DFN of the study area. Effective hydraulic apertures were obtained by analyzing the results of field packer tests. The representative elementary volume of the 2-D DFN was determined to be 20 m square by investigating the variations in the directional hydraulic conductivity for blocks of different sizes. The directional hydraulic conductivities calculated from the 2-D DFN exhibited strong anisotropy related to the hydraulic behavior of the study area. The 3-D hydraulic conductivity tensor for the fractured rock mass of the study area was estimated from the directional block conductivities of the 2-D DFN blocks generated for various directions in 3-D. The orientations of the principal components of the 3-D hydraulic conductivity tensor were found to be identical to those of delineated joint sets in the study area.

주제어

표/그림 (18)

그림 Fig. 1. Fluid flows along a single joint.
그림 Fig. 2. Two dimensional equivalent linear pipe DFN fluid flow model (Han and Um, 2016b).
그림 Fig. 3. 2-D DFNs generated on vertical (a) N-S and (b) E-W square windows and (c) a 15m horizontal square window.
$Table 1. Summary of fracture geometry parameters of the 2-DFN$ 표 Table 1. Summary of fracture geometry parameters of the 2-DFN
그림 Fig. 4. Calibrated 2-D DFNs on vertical (a) N-S and (b) E-W square windows and (c) a 15m horizontal square window.
$Table 2. Fracture geometry before and after correction using the first invariant of the 2-D fracture tensor$ 표 Table 2. Fracture geometry before and after correction using the first invariant of the 2-D fracture tensor
그림 Fig. 5. Construction of a 2-D square flow domain with two constant head boundaried (Φ₁ > Φ₂) by rotating the boundary and the hydraulic gradient at 30˚ intervals (Han and Um, 2016b).
표 Table 3. Permeability and Lugeon values estimated from packer tests
표 Table 3. Continued
그림 Fig. 6. Directional hydraulic conductivity, k^(p) (m/s), in different flow directions for 2-D DFNs on (a) N-S vertical, (b) E-W vertical, and (c) horizontal squrare windows of various sizes.
표 Table 4. Estimated ER values, 2-D principal hydraulic conductivities, and average block conductivities for DFN blocks of different sizes
그림 Fig. 7. (a) ER values an d(b) average block conductivities with respect to block size.
표 Table 5. Estimated directional hydraulic conductivity, k^(p) (m/s), in different flow directions for a 2-D DFN on six 20m vertical square windows
그림 Fig. 8. Variation in directional hydraulic conductivity, k^(p) (m/s), in 3-D space for the study area.
표 Table 5. Continued
그림 Fig. 9. Results of ellipsoid fitting using 62 estimated directional hydraulic conductivities.
표 Table 6. Estimated principal hydraulic conductivities and their orientations in 3-D space
그림 Fig. 10. Principal hydraulic conductivities plotted on a lower-hemisphere equal-angle stereonet.

AI 본문요약
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대상 데이터

연구지역은 부산광역시 기장군 일광면 원리 일대이며 이천리층을 관입한 백악기 흑운모 화강암으로 이루어진 절리성 암반이 분포한다. 연구지역 화강암의 주 구성 광물은 석영, 장석 및 흑운모 등이며, 4개의 NX 코어시료에서 측정된 공극률 및 흡수율의 평균값은 각각 0.

참고문헌 (27)

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상세보기
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상세보기
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상세보기
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상세보기
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상세보기
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상세보기
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