Analysis of transmissivity tensor in an anisotropic aquifer

An Aquifer test was carried out on five boreholes to determine the hydrologic anisotropy and the major groundwater flow direction in the aquifer system of the study area. With an assumption of the aquifer's anisotropy and homogeneity, the major transmissivity(T(equation omitted)), the minor transmissivity( $T_{ηη}$ ), and primary tensor direction ($\theta$) for each borehole were determined from the test. Besides the boreholes BH-1, BH-4 and BH-5, the anisotropy transmissivity tensor values of BH-2 and BH-3 did not correspond with the assumption. Thereafter the values were plotted on the polar coordinate, and showed that the tensor values were out of the anisotropy ellipsoid due to the high heterogeneity of BH-2 and BH-3 comparing with the other boreholes. Therefore. the anisotropy of the aquifer was examined from BH-1, BH-4. and BH-5. In BH-1, T(equation omitted) is 171.9 $\m^2$/day. $T_{ηη}$ is $71.01\m^2$/day, and the principal tensor direction is Nl5.39$^{\circ}$E. In BH-4. T(equation omitted) is $268.2 \m^2$/day, $T_{ηη}$ / is $28.75\m^2$/day and the principal tensor direction is N7.55$^{\circ}$E. In BH-5, T(equation omitted) is $168.4\m^2$/day, $T_{ηη}$ is 66.80 $\m^2$/day, and the principal tensor direction is $N76.59^{\circ}$E. On the basis of teleview logging performed on each borehole. the principal fracture directions were revealed as $N0^{\circ}$~4$^{\circ}$E/$30^{\circ}$~$50^{\circ}$SE and $N30^{\circ}$~$80^{\circ}$W/$20^{\circ}$~$50^{\circ}$NE that are the most frequently occurred sets as well as that correspond well with the calculated transmissivity tensor.

이방성 대수층에서의 투수량계수텐서 해석

본 연구에서는 5개의 시추공에 대한 수리시험을 실시하여 대수층의 수리학적 이방성과 지하수의 주 유동방향을 규명하고자 하였다. 수리시험을 통하여 각각의 공에 대한 최대 투수량계수(T(equation omitted))와 최소 투수량계수( $T_{ηη}$)값을 산출하고 주 텐서방향($\theta$)을 결정하였다. 그 결과 대수층의 비균질성으로 인해 투수량계수텐서값을 원형좌표계에 도시하였을 때 BH-1, BH-4, BH-5공을 제외한 BH-2, BH-3호공의 경우 다른 공에 비해서 이방성타원체에서 많이 벗어남을 보였다. BH-2, BH-3호공을 제외한 3개의 공에서 대수층의 이방성을 분석한 결과, BH-1호공에서 양수시 T(equation omitted)는 $171.90\m^2$/day $T_{ηη}$는 $71.01\m^2$/day이고 주 텐서방향은 $Nl5.39^{\circ}$E로 나타났다. BH-4호공에서 양수시 T(equation omitted)는 $268.20\m^2$/day, $T_{ηη}$는 28.75$\m^2$/day이고 주 텐서방향은 $N7.55^{\circ}$E이며, BH-5호공에서 양수시는 $168.40\m^2$/day. $T_{ηη}$는 $66.80\m^2$/day이고 주 텐서방향은 N76.59$^{\circ}$E로 나타났다. 이 결과는 균열군의 방향을 알아보기 위해 각 공에서 실시한 초음파주사검층 결과인 N0$^{\circ}$~40$^{\circ}$E/$30^{\circ}$~$50^{\circ}$SE, 그리고 $N30^{\circ}$~$80^{\circ}$W/20$^{\circ}$~$50^{\circ}$NE 방향과 잘 일치하고 있다.