• Title/Summary/Keyword: Equivalent hydraulic conductivity

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Characteristics of Block Hydraulic Conductivity of 2-D DFN System According to Block Size and Fracture Geometry (블록크기 및 균열의 기하학적 속성에 따른 2-D DFN 시스템의 블록수리전도도 특성)

  • Han, Jisu;Um, Jeong-Gi
    • Tunnel and Underground Space
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    • v.25 no.5
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    • pp.450-461
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    • 2015
  • Extensive numerical experiments have been carried out to investigate effect of block size and fracture geometry on hydraulic characteristics of fractured rock masses based on connected pipe flow in DFN systems. Using two fracture sets, a total of 72 2-D fracture configurations were generated with different combinations of fracture size distribution and deterministic fracture density. The directional block conductivity including the theoretical block conductivity, principal conductivity tensor and average block conductivity for each generated fracture network system were calculated using the 2-D equivalent pipe network method. There exist significant effects of block size, orientation, density and size of fractures in a fractured rock mass on its hydraulic behavior. We have been further verified that it is more difficult to reach the REV size for the fluid flow network with decreasing intersection angle of two fracture sets, fracture plane density and fracture size distribution.

Determination of Equivalent Hydraulic Conductivity of Rock Mass Using Three-Dimensional Discontinuity Network (삼차원 불연속면 연결망을 이용한 암반의 등가수리전도도 결정에 대한 연구)

  • 방상혁;전석원;최종근
    • Tunnel and Underground Space
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    • v.13 no.1
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    • pp.52-63
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    • 2003
  • Discontinuities such as faults, fractures and joints in rock mass play the dominant role in the mechanical and hydraulic properties of the rock mass. The key factors that influence on the flow of groundwater are hydraulic and geometric characteristics of discontinuities and their connectivity. In this study, a program that analyzes groundwater flow in the 3D discontinuity network was developed on the assumption that the discontinuity characteristics such as density, trace length, orientation and aperture have particular distribution functions. This program generates discontinuities in a three-dimensional space and analyzes their connectivity and groundwater flow. Due to the limited computing capacity In this study, REV was not exactly determined, but it was inferred to be greater than 25$\times$25$\times$25 ㎥. By calculating the extent of aperture that influences on the groundwater flow, it was found that the discontinuities with the aperture smaller than 30% of the mean aperture had little influence on the groundwater flow. In addition, there was little difference in the equivalent hydraulic conductivity for the the two cases when considering and not considering the boundary effect. It was because the groundwater flow was mostly influenced by the discontinuities with large aperture. Among the parameters considered in this study, the length, aperture, and orientation of discontinuities had the greatest influence on the equivalent hydraulic conductivity of rock mass in their order. In case of existence of a fault in rock mass, elements of the equivalent hydraulic conductivity tensor parallel to the fault fairly increased in their magnitude but those perpendicular to the fault were increased in a very small amount at the first stage and then converged.

Effects of Fracture Tensor Component and First Invariant on Block Hydraulic Characteristics of the 2-D Discrete Fracture Network Systems (절리텐서의 성분 및 일차불변량이 2-D DFN 시스템의 블록수리전도 특성에 미치는 영향)

  • Um, Jeong-Gi
    • Economic and Environmental Geology
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    • v.52 no.1
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    • pp.81-90
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    • 2019
  • In this study, the effects of fracture tensor component and first invariant on block hydraulic behaviors are evaluated in the 2-D DFN(discrete fracture network) systems. A series of regression analysis is performed between connected fracture tensor components and block hydraulic conductivities estimated at every $30^{\circ}$ hydraulic gradient directions for a total of 36 DFN systems having various joint density and size distribution. The directional block hydraulic conductivity seems to have strong relation with the fracture tensor component estimated in direction perpendicular to it. It is found that an equivalent continuum approach could be acceptable for the 2-D DFN systems under condition that the first invariant of fracture tensor is more than 2.0~2.5. The first invariant of fracture tensor seems highly correlated with average block hydraulic conductivity and can be used to evaluate hydraulic characteristics of the 2-D DFN systems. Also, a possibility of upscaling using the first invariant of fracture tensor for the DFN system is addressed through this study.

Impact of Biochar Particle Shape and Size on Saturated Hydraulic Properties of Soil

  • Lim, Tae-Jun;Spokas, Kurt
    • Korean Journal of Environmental Agriculture
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    • v.37 no.1
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    • pp.1-8
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    • 2018
  • BACKGROUND: Different physical and chemical properties of biochar, which is made out of a variety of biomass materials, can impact water movement through amended soil. The objective of this research was to develop a decision support tool evaluating the impact of the shape and the size distribution of biochar on soil saturated hydraulic conductivity ($K_{sat}$). METHODS AND RESULTS: Plastic beads of different size and morphology were compared with biochar to assess impacts on soil $K_{sat}$. Bead and biochar were added at the rate of 5% (v/w) to coarse sand. The particle size of bead and biochar had an effect on the $K_{sat}$, with larger and smaller particle sizes than the original sand grain (0.5 mm) decreasing the $K_{sat}$ value. The equivalent size bead or biochar to the sand grains had no impact on $K_{sat}$. The amendment shape also influenced soil hydraulic properties, but only when the particle size was between 3-6 mm. Intra-particle porosity had no significant influence on the $K_{sat}$ due to its small pore size and increased tortuosity compared to the inter-particle spaces (macro-porosity). CONCLUSION: The results supported the conclusion that both particle size and shape of the amended biochar impacted the $K_{sat}$ value.

Effect of Visible Biopores on the Saturated Hydraulic Conductivity of Soil (가시 생물공극(生物孔隙)이 토양(土壤)의 투수계수(透水係數)에 미치는 영향(影響))

  • Park, Moo-Eon;Yoo, Sun-Ho
    • Korean Journal of Soil Science and Fertilizer
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    • v.14 no.2
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    • pp.64-69
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    • 1981
  • A field and laboratory experiments were conducted to evaluate the effect of visible biopores (larger than 0.2 mm in diameter) on the saturated hydraulic conductivity of Bonryang sandy loam (Coarse loamy over sandy, mixed, mesic family of Typic Udifluvents) developed on alluvial plains. The saturated hydraulic conductivity was significantly correlated with the equivalent permeble surface area (EPSA) which was calculated from the number of various sized biopores in the soil observed by naked eye, and negatively correlated with the bulk density. The effect of biopores on the saturated hydraulic conductivity was remarkable in subsoil al though it was not pronounced in plowed layer and sandy substrata. The bulk density was found to be correlated with the number and the EPSA of the visible biopores. A remarkable spatial variability was observed in the number of biopore and the bulk density.

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Saturated Hydraulic Conductivity of Surface Seals Estimated from Computed Tomography-Measured Porosity (고해상도 X-ray CT 를 이용한 토양표면 피막의 공극율 및 포화수리전도도 측정)

  • Lee, Sang-Soo;Gantzer, C.J.;Thompson, A.L.;Anderson, S.H.;Ketchum, R.A.;Ok, Yong-Sik
    • 한국환경농학회:학술대회논문집
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    • 2011.07a
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    • pp.207-222
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    • 2011
  • Relationships between soil saturated hydraulic conductivity ($K_s$) and porosity (${\phi}$) have been developed over many years; however, use of these relationships for evaluating rain-induced seals is limited mainly because of difficulties in estimating seal pore-size characteristics. The objectives of this study were to evaluate the $K_s$ of soil surface seals over a range of thicknesses, where seal thickness was determined using a High-Resolution-Computed-Tomography (HRCT) scanner, and to investigate relationships between $K_s$ and ${\phi}$ of developing seals in samples with equivalent diameters (e.d.) ${\geq}15\;{\mu}m$. A Mexico silt loam soil was packed to a bulk density (${\rho}_b$) of $1.1\;Mg\;m^{-3}$ in cylinders 160-mm i.d. by 160-mm long and subjected to $61-mm\;h^{-1}$ simulated rainfall having a kinetic energy (KE) of $25\;J\;m^{-2}\;min^{-1}$ for 7.5, 15, 30, and 60 min to create a range in seal development. Thicknesses of the seal layers were determined by analysis of HRCT images of seals. The $K_s$ values of the seals were estimated using an effective $K_s$ value ($K_{s-eff}$). The $K_s-{\phi}$ relationship was described by a Kozeny and Carmen equation, $K_s=B{\phi}^n$; where B and n are empirical constants and n = 31. This approach explained 86% of the variation between $K_s$ and ${\phi}$ within the soil seals. Knowledge of surface seal information and hydraulic conductivity can provide useful information to use in management of sites prone to sealing formation.

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A Study of Probabilistic Groundwater Flow Modeling Considering the Uncertainty of Hydraulic Conductivity (수리전도도의 불확실성을 고려한 확률론적 지하수 유동해석에 관한 연구)

  • Ryu Dong-Woo;Son Bong-Ki;Song Won-Kyong;Joo Kwang-Soo
    • Tunnel and Underground Space
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    • v.15 no.2 s.55
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    • pp.145-156
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    • 2005
  • MODFLOW, 3-D finite difference code, is widely used to model groundwater flow and has been used to assess the effect of excavations on the groundwater system due to construction of subways and mountain tunnels. The results of numerical analysis depend on boundary conditions, initial conditions, conceptual models and hydrogeological properties. Therefore, its accuracy can only be enhanced using more realistic and field oriented input parameters. In this study, SA(simulated annealing) was used to integrate hydraulic conductivities from a few of injection tests with geophysical reference images. The realizations of hydraulic conductivity random field are obtained and then groundwater flows in each geostatistically equivalent media are analyzed with a numerical simulation. This approach can give probabilistic results of groundwater flow modeling considering the uncertainty of hydrogeological medium. In other words, this approach makes it possible to quantify the propagation of uncertainty of hydraulic conductivities into groundwater flow.

A Comparative Study on the REV, non-REV and Joint Network Methods for Analysis of Groundwater Flow in Jointed Rock Masses (절리암반내 지하수 유동해석을 위한 대표체적법, 비대표체적법 및 절리망 해석법의 비교 연구)

  • 문현구
    • Journal of the Korean Geotechnical Society
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    • v.15 no.5
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    • pp.217-228
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    • 1999
  • The three methods of analysis (i) REV(representative elemental volume), (ii) non-REV and (iii) joint network analysis are introduced in this paper to analyze the groundwater flow in jointed rock mass and the inflow into underground excavations. The results from those methods are compared one another to reveal their characteristics by varying the number of joints and the diameter of the opening. The pre-processor, the so-called sequential analysis, is introduced to predict the equivalent hydraulic conductivity of a jointed rock mass having a number of intersecting joints. Using the finite element mesh, joint map and sequential analysis, the equivalent hydraulic conductivities are calculated for all 445 elements. The hydraulic inhomogeneity and the determination of the representative properties of jointed rock masses are discussed. In the REV analysis where the entire rock mass is homogenized through the representative properties, the inflow is increased regularly and consistently by increasing the joint density, the opening size and the conductivity contrast value. Though the non-REV analysis showed irregular variation of the inflow due to the local inhomogeneity allowed to individual elements, the inflow approached the REV results as the characteristic length increases. The joint network analysis showed the most sensitive reaction to the joint density, the opening size and the presence of the network crossing the opening. The reliability of the network analysis depends on the geometric data of individual joints. In view of the limited field data on joint geometry and possible uncertainty the REV and non-REV methods are considered more practical and rational than the joint network analysis.

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Study on cement-based grout for closed-loop vertical ground heat exchanger (수직 밀폐형 지중 열교환기 뒤채움재로서 시멘트 그라우트의 적용성 검토)

  • Park, Moon-Seo;Wi, Ji-Hae;Lee, Chul-Ho;Lee, Kang-Ja;Choi, Hang-Seok
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.03a
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    • pp.615-624
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    • 2010
  • In this paper, the applicability of cement grout has been studied as an alternative to bentontite grout to backfill ground heat exchangers. To provide an optimal mixture design, the groutabilty and thermal conductivity of cement grouts with various mixture ratios were experimentally evaluated and compared. The unconfined compression strength of cement grout specimen was measured, which are exposed to cyclic temperature variation ranging from $50^{\circ}C$ to $-5^{\circ}C$. In addition, the integrity of the interface between circulating HDPE pipes and cement grout by performing equivalent hydraulic conductivity tests, in which a pipe locates at the center of the specimen.

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