• Title/Summary/Keyword: Darcy law

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A Study on the Groundwater Flow in Fractured-Porous Media by Flow Resistance Theory (단열-다공암반에서 유동저항 이론을 이용한 지하수 유동 평가에 관한 연구)

  • Han Ji-Woong;Hwang Yong-Soo;Kang Chul-Hyung
    • Proceedings of the Korean Radioactive Waste Society Conference
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    • 2005.06a
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    • pp.231-238
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    • 2005
  • On the basis of flow resistance theory the conceptual model and related mathematical descriptions is proposed for resistance modeling of groundwater flow in CPM(continuum Porous medium), DFN(discrete fracture network) and fractured-porous medium. The proposed model is developed on the basis of finite volume method assuming steady-state, constant density groundwater flow. The basic approach of the method is to evaluate inter-block flow resistance values for a staggered grid arrangement, i.e. fluxes are stored at cell walls and scalars at cell centers. The balance of forces, i.e. the Darcy law, is utilized for each control volume centered around the point where the velocity component is stored. The transmissivity (or permeability) at the interface is assumed to be the harmonic average of neighboring blocks. Flow resistance theory was utilized to relate the fluxes between the grid blocks with residual pressures. The flow within porous medium is described by three dimensional equations and that within an individual fracture is described by a two dimensional equivalent of the flow equations for a porous medium. Newly proposed models would contribute to develop flow simulation techniques with various matrix characteristics.

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Excess Pore Water Pressure Response in Soft Clay under Embankment (성토하부 연약지반에서의 과잉간극수압 거동)

  • Kim, Yun-Tae;Kim, Nak-Kyung
    • Journal of the Korean Geotechnical Society
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    • v.18 no.3
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    • pp.105-112
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    • 2002
  • Increases in excess pore water pressure without change of surcharge load were reported in clay underneath embankment at Berthierville and Olga sites after the end of construction. These abnormal phenomena could not be explained by classical consolidation theory. This paper presents a nonlinear viscoplastic model to interpret an increase in pore water pressure on natural clay, The proposed model can consider the combined processes of pore water pressure dissipation according to Darcy's law and pore water pressure generation due to viscoplastic strain, as well as time-dependent viscoplastic behaviour and strain rate dependency of preconsolidation pressure. The calculated results using numerical analysis are compared with measured ones under embankments built on soft clay at Berthierville and Olga in Quebec, Canada. It may be possible to explain the phenomenon of excess pore water pressure increase after the end of construction using the proposed nonlinear viscoplastic model.

Air-tightness Evaluation of Tube Structures for Super-speed Tube Railway Systems: I. Analytical Modeling and Material Test (초고속 튜브철도 시스템을 위한 튜브 구조물의 기밀성 평가 : I. 해석모델 수립 및 재료 기밀성)

  • Park, Joo-Nam;Nam, Seong-Won;Kim, Lee-Hyeon;Yeo, In-Ho
    • Journal of the Korean Society for Railway
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    • v.14 no.2
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    • pp.143-150
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    • 2011
  • This paper presents a preliminary study for air-tightness evaluation of vacuum tube structures for super-speed tube railway systems. The formula for flow rate of the air caused by the pressure difference of the inside and outside of the tube structure is derived based on Darcy's law. A test is then performed to measure the air-permeability of concrete with various compressive strengths, the result of which is used for analytical simulation of the air intrusion for a tube structure with a preliminarily defined section. It has been shown that concrete with the compressive strength of at least more than 50MPa is recommended for effective operation and maintenance of the vacuum pump systems, as the air-permeability of concrete is inversely proportional to the exponent of its compressive strength.

Characteristics of Wave on Circular Breakwater of Double Array by Various Porous Coefficients among Circular Caissons (원형케이슨들간의 공극률 변화에 따른 2열 배치 원형방파제에 작용하는 파랑 특성 분석)

  • Park, Min Su
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.32 no.6
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    • pp.420-433
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    • 2020
  • In order to increase the stability of existing breakwater, new caissons are installed on the back or the front of existing caissons. It is very important to evaluate wave force and wave run-up according to the change of porosity among caissons and the energy loss due to separation effects. In this study, we use the eigenfunction expansion method with Darcy's law, which describes the flow of a fluid through a porous plate, to analyze the characteristics of wave on circular breakwater of double array for various porous coefficients. To verify the numerical method, the comparison between present results and Sankarbabu et al. (2008) is made. The wave force and the wave run-up acting on each dual cylindrical caisson are calculated for various parameters by considering the energy loss and the change of porosity.

Distribution of Coastal Ground Water Discharge from Surficial Aquifers of Major River Districts (권역별 충적층 지하수의 해안 유출량 분포)

  • Han, Soo Young;Hong, Sung Hun;Park, Namsik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.1B
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    • pp.1-6
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    • 2006
  • Amount of coastal ground water discharge(CGD) of surficial aquifer via coastlines of Nakdong River watershed, Seomjin River watershed, Youngsan River watershed and Keum River watershed is estimated. Compared to other major hydrological components, such as evapo-transpiration and river discharge, CGD is not so large in the amount. However, it is important since coastal ground water can be developed relatively free of environmental impact on downstream area and since most of coastal areas currently suffers water shortage. Regional groundwater investigation data and assessment based on Darcy's law are used for estimating coastal groundwater discharge. In this work the amount of CGD across the coastlines of the four rivers is estimated as 1.8 billion cubic meter per year and that is about 2.3 percentage of total amount of annual precipitation. Nakdong River watershed is most appropriate region in view of developing groundwater.

Prediction of Permeability through Plain Woven Fabric by Using Unit Cell (단위 셀을 이용한 평직의 투과율 계수 예측)

  • Song, Young-Seok;Youn, Jae-Ryoun
    • Proceedings of the Korean Fiber Society Conference
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    • 2002.04a
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    • pp.384-387
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    • 2002
  • In the resin transfer molding, there are many advantages such as high volume, high performance, and low cost, The permeability is essential in the design and operation of the process, Traditionally, the determination of permeability can be divided as three methods, which are experimental measurement, analytical, and numerical prediction using the Darcy's law. In this study, the permeability in the microscopic level is first computed on the square-packing and hexagonal packing structures of the filaments inside the yarn by using CVFEM. (omitted)

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ADJOINT SYSTEM FOR A MAGNETO-CONVECTIVE FLOW IN AN ACTIVE MUSHY LAYER

  • Bhatta, Dambaru;Riahi, Daniel N.
    • Journal of applied mathematics & informatics
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    • v.29 no.5_6
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    • pp.1269-1283
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    • 2011
  • Here we consider magneto-convection in a mushy layer which is formed during solidification of binary alloys. The mushy layer is treated as an active porous media with variable permeability. The equations governing the layer are conservation of mass, conservation of heat, conservation of solute, magnetic induction equation, momentum equation governed by the Darcy's law and Maxwell's equations for the magnetic field. To study the second order effects on the flow without solving the second order system, we need to obtain the adjoint system for the flow. This motivates the authors we derive the adjoint system analytically for the mushy layer case. Numerical results of the adjoint system are presented for passive and active mushy layers at the onset of the motion using a set of parameters experimentalists use.

Applicability of Relative Effective Porosity Model to Tracer Tests

  • Hwang, Hyeon-Tae;Lee, Gang-Geun;Suleiman, A.A.
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2004.04a
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    • pp.341-345
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    • 2004
  • An attempt has been made in this study to evaluate an applicability of Relative Effective Porosity Model (REPM) as a method for estimating saturated hydraulic conductivity (K$_{s}$) for homogeneous coarse, medium, and fine sands. The saturated hydraulic conductivities obtained from REPM are converted into average linear velocities using Darcy's Law and compared with the results from experimental tracer tests for homogeneous coarse, medium, and fine sand layer. Two types of tracer tests analyses, analytical solution using CXTFIT and moment methods, are performed to obtain reasonable linear velocity range for each layer. For the coarse and medium sands, the converted average linear velocity from REPM is in the velocity range obtained from tracer tests. However, small difference between the results from REPM and tracer tests is found for the fine sands. These results show that REPM gives reasonable estimates of saturated hydraulic conductivity.y.

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Expression Characteristics of Chinese Cabbage

  • Kim, Y.J.;Oh, Y.T.;Lee, D.H.;Lee, Y.B.
    • Proceedings of the Korean Society for Agricultural Machinery Conference
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    • 1993.10a
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    • pp.1318-1328
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    • 1993
  • Expression of chinese cabbage was conducted in order to investigate its dewatering behavior. Chipped cabbage was packed into cylinder and pressed by piston up to the predetermined pressure on Instron-1000. The rates of dewatering were affected domintantly by the applied pressure, but not significantly by the packed amount of cabbage in the cylinder. The pressure effect was increased very abruptly at first, but the increase rate was very low at high pressure greater than 20 MPa, showing great deviation from linear dependence of flow rate on pressure in Darcy's Law. Therefore, water expression from cabbage was not Newtonian flow of water through cell wall. In fact, the squeezed water contained a lot of solid particles, showing destruction of cell wall. The content of solid particles in expressed water was only slightly lower than the dry matter content of fresh chinese cabbage, determined by drying oven method.

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A Study on the Coating Thickness Prediction of a Piston Skirt (피스톤 스커트의 코팅두께 예측에 관한 연구)

  • Chun, Sang-Myung
    • Transactions of the Korean Society of Automotive Engineers
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    • v.19 no.2
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    • pp.84-91
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    • 2011
  • The purpose of this study is to find how to be formed the wet film thickness during the low friction coating process for a piston skirt with application to the theory of screen printing. In other words, the general expressions predicting the pressure under a blade and the volume of coating fluid passing through the blade edge are derived. Using these expressions, the coating thickness on a piston skirt during a sample blade coating process can be quantitatively assessed.