• Title/Summary/Keyword: 프락탈 모델

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Stationary Dual-Porosity Fractal Model of Groundwater Flow in Fractured Aquifers (균일대수층내 지하수 유동에 관한 정상류의 이중공극 프락탈 모델)

  • ;Bidaux, Pasal
    • The Journal of Engineering Geology
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    • v.4 no.2
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    • pp.127-138
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    • 1994
  • The stationary dual-porosity model is not sufficient to describe the hydraulic characteristics of fractured aquifers as the groundwater flow in fractured aquifers is often controlled by the fractal geometry of fractures. This study deals with new stationary dual-porosity fractal model. This model simulates pseudo-steady state flow from matrix block to fissure in the fractal aquifer. Furthermore, it considers storage capacity and well loss effect at the production well. Type curves for different flow dimensions with different drainage factors are plotted. This new model has been applied to experimental data. The result of the interpretation shows a good accordance between the theoretical model and the observed data.

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Computing Hydraulic Parameters of Fractured Aquifers Using Fractal Model of Groundwater Flow with Leakage (누수를 포함하는 지하수 유동의 프락탈 모델 적용에 의한 균열 암반 대수층의 수리상수 산출)

  • 함세영;임정웅
    • The Journal of Engineering Geology
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    • v.4 no.2
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    • pp.219-229
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    • 1994
  • Since groundwater flow in fractured rocks is controlled by the distribution of fractures irregu1arly developed in space, it is not possible to understand the hydraulic characteristics of fractured aquifers using Theis equation which is applicable only to homogeneous isotropic confined aquifer. This study deals with the theoretical background of the fractal groundwater flow model with leakage, the methodology of calculation of the hydraulic parameters, and the application of the developed model to field data. From the result of the application of the fractal model to two field data in Hongcheon and Yusung areas, we obtained a good match between theoretical curves and observed curves, with the same hydraulic parameters at the pumping well and the observation well. In the two pumping test analyses, we have determined 1.9 of the fractal dimension. This means that the dimension of groundwater flow at these two sites is slightly smaller than radial flow.

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Nonstationary Dual-Porosity Fractal Model of Groundwater Flow in Fractured Aquifers with or without Fracture Skin (균열 스킨을 포함하거나 포함하지 않는 균열 대수층내 지하수 유동에 관한 비정상류의 이중공극 프락탈 모델)

  • ;Bidaux, Pasal
    • The Journal of Engineering Geology
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    • v.4 no.3
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    • pp.283-295
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    • 1994
  • A new nonstationary dual-porosity fractal model is presented which simulates a nonsteady state block-to-fissure flow with or without fracture skin between the block and the fissure in a fractal aquifer. The model includes weilbore storage and well loss effects on the production well. Type curves for different flow dimensions with different values of hydraulic parameters are created. The application of the model to experimental data in fractured aquifer is described.

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Hydraulic Properties of Duksan Hot-spring Area (덕산온천 지역의 수리적 성질)

  • 함세영;조병욱;성익환
    • The Journal of Engineering Geology
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    • v.9 no.2
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    • pp.101-118
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    • 1999
  • The pumping test analysis on 28 pumping test data in Duksan hot-spring area was performed using the fractal model, the leaky fractal model, and the steady-state dual-porosity fractal model. The fractional flow dimension 1.9 or 2.0 was determined in the central put of the hot spring and the fractional flow dimension 1.5-1.7 in the marginal area. For the flow dimension 2.0, the correlation between the transmissivity and the productivity index by the aquifer loss was much better than that between the transmissivity and the specific yield by the total drawdown. On the other hand, for the flow dimension 1.9, the correlation between the generalized transmissivity and the productivity index was very similar to that between the generalized transmissivity and the specific yield.

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Fractal Model of Transient Flow in a Dual-porosity Aquifer with Constant-head Upper Boundary (일정수두 상부경계를 가지는 이중공극 대수층내 부정류에 관한 프락탈모델)

  • 함세영
    • Journal of the Korean Society of Groundwater Environment
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    • v.4 no.2
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    • pp.95-102
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    • 1997
  • So far, several fractal models of fluid flow in a fractured aquifer have been developed. In this study, a new fractal model is derived that considers transient flow in the dual-porosity aquifer with the fracture skin between the fissure and the block, and the storage capacity and the wellbore skin on the pumping well. Constant-head upper boundary is specified in the block. This model is a generalized one which comprises both modified Hantush equation (1960) and Boulton-Streltsova equation (1978). Type curves are plotted for different flow dimensions (0.5, 1, 1.5, 2, 2.5 and 3) with various values of the leakage factor and the fracture skin. They show dimensionless drawdown in the pumping well and observation wells located either in the fissure system or in the matrix block.

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프락탈 모델을 적용한 우리나라 균열 암반 대수층의 수리상수

  • 함세영
    • Proceedings of the Korean Society for Rock Mechanics Conference
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    • 1995.03a
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    • pp.121-134
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    • 1995
  • 대수층의 수리상수를 산출하기 위한 양수시험 분석에 이용되는 가장 기본적인 이론은 Theis 이론이다. Theis 이론에서는 지하수의 흐름은 2차원의 방사상 흐름이다. 그러나, 1차 공극으로 이루어진 충적층 대수층이나 사암과 같은 다공질 대수층과는 달리 기반암내에 발달되어 있는 균열 대수층은 균열(fractures), 열극(fissures) 또는 단층과 같은 2차 공극으로 이루어져 있다. (중략)

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Dual-permeability Fractal Model of Groundwater Flow in Fissured Aquifers (균열대수층내 지하수유동에 관한 이중투수율 프락탈모델)

  • Bidaux, Pascal;Hamm, Se-Yeong
    • Economic and Environmental Geology
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    • v.30 no.5
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    • pp.433-442
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    • 1997
  • A dual-permeability fractal model of fluid flow is proposed. The model simulates groundwater flow in fissured dual aquifer system composed of Aquifer 1 and Aquifer 2. For this model. groundwater flow originates only from Aquifer 1 on the pumping well. The model considers wellbore storage and skin effects at the pumping well and then shows exact drawdown at the early time of pumping. Type curves for different flow dimensions and for two cases are presented and analyzed. The case 1 represents the aquifer system which consists of Aquifer 1 with low permeability and high specific storage and Aquifer 2 with high permeability and low specific storage. The case 2 is inverse to the case 1. Dimensionless drawdown curves in Aquifer 1 and Aquifer 2 shows characteristic trend each other. Consequently, the model will be useful to analyze pumping test data of different draw down patterns on the pumping well and observation wells.

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Hydraulic Eroperty of Groundwater Flow Controlled by Vertical Geologic Structure and its field Example (수직 지질구조에 의해서 지배되는 암반지하수 유동의 수리적 성질과 그 예)

  • 함세영;김형찬;임정웅
    • Journal of the Korean Society of Groundwater Environment
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    • v.5 no.2
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    • pp.101-109
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    • 1998
  • Hydraulic property of fissured aquifers often depends on geologic structure which acts main channel of groundwater flow. We treated theories of linear flow related to vertical geologic structure. Then, we analyzed the result of two pumping tests conducted in Okmyeong-ri area (Kyeongbook province) using fractal model and found hydraulic characteristic of the fissured aquifer in this area. According to the pump test analyses, groundwater flow around the holes (pumping well D9; observation wells C3 and D7) of test 1 is linear. and is controlled by vertical geologic structure with infinite length and infinitesimally small width. On the other hand, around the hole D10 (pumping well) of test 2, groundwater flow is pseudo-radial (n=1.9) or radial (n=2). Thus, the characteristic of fractured aquifer often shows variable groundwater flow spatially and temporally.

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