• Title/Summary/Keyword: 유한수분법

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Soil Moisture Flow Assessment in Variably Saturated and Different Layered Soil using Richards Equation (Richards 공식을 이용한 불포화 이(異)층 토양에서의 토양수분 거동 특성 분석)

  • Choi, Soon-Kun;Nam, Won-Ho;Choi, Jin-Yong;Hur, Seung-Oh;Kim, Hak-Jin;Chung, Sun-Ok;Han, Kyung-Hwa
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.107-107
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    • 2012
  • 우리나라의 시설재배는 연중 고품질의 농산물을 요구하는 소비자의 기대와 생산자의 경제적 목적이 부합되어 재배면적이 증가하고 있으며 전체 시설재배면적의 31.3%는 수리시설이 완비된 관개논에 위치한다. 시설재배지에서의 수분관리는 작물의 안정적인 생산과 수자원의 효율적인 사용을 위하여 토양 특성을 고려하여 운영되어야 한다. 따라서 시설재배지 토양 특성을 반영한 작물근군역에서의 물수지와 수분거동 특성에 관한 연구가 선행되어야한다. 불포화토양에서의 수분이동은 토양-작물-대기의 연속계에서 수분의 공급과 증발산, 배수 및 유거에 의한 토양수분 장력의 변화로 이루어지며 토양수분과 토양수분 장력, 수리전도도와의 관계는 토양의 수리적 특성에 따라 상이하다. 실험을 통한 토양수분 거동 분석은 시간적, 비용적 측면에서 비효율적이므로 모형에 의한 분석이 요구된다. 본 연구에서는 불포화토양에서의 수분이동을 모의하기 위하여 Richards 공식을 유한차분법으로 해석하였으며 국내 논 시설재배지 이(異)층토양에 대하여 다양한 관개조건을 적용하여 토양수분 거동 특성을 분석하였다. 관개와 작물의 수분흡수가 지속됨에 따라 근군역을 이탈한 토양수분이 유하되어 밭 토양과 논 토양의 경계에 축적됨을 확인 하였으며 과다관개가 이루어질수록 이러한 현상이 심화되는 것으로 나타났다. 본 연구의 결과는 관개시스템의 설계와 운영에 기초자료로 활용될 수 있다.

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Estimations of Moisture Profiles during Wood Drying Using an Unsteady-State Diffusion Model (I) - Numerical Solution - (비정상(非定常) 상태(狀態)의 확산(擴散) 모델을 이용한 수분경사(水分傾斜)의 예측(豫測) (I) - 수치해석(數値解析) -)

  • Park, Jung-Hwan;Smith, William B.
    • Journal of the Korean Wood Science and Technology
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    • v.24 no.2
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    • pp.36-41
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    • 1996
  • 목재(木材)의 건조과정(乾燥過程) 중에 발생하는 목재 내부의 수분경사(水分傾斜)를 예측하기 위해 비정상상태(非定常狀態)의 확산(擴散)모델을 지배방정식(支配方程式)으로 적용하였으며, 목재 표면에서의 증발저항(蒸發抵抗)과 내부의 대칭적 수분분포를 경계조건(境界條件)으로 채택하였다. 주어진 경계조건에서의 지배방정식에 대한 일반해(一般解)가 무한수열 형태로 이루어지기 때문에, 유한차분법(有限差分法)을 이용하여 수치해석(數値解析)하였으며, 유한차분법(有限差分法) 중 오차범위(誤差範圍)가 안정한 상태인 Crank-Nicolson Scheme 알고리즘을 채택하였다.

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Analysis of Chloride ion Penetration for In-Situation Harbor Concrete Structures (현장 항만 콘크리트 구조물에 대한 염소이온 침투 해석)

  • Han Sang-Hun
    • Journal of the Korea Concrete Institute
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    • v.17 no.5 s.89
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    • pp.751-760
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    • 2005
  • The chloride penetration model, which considers diffusion and sorption, is proposed. The FEM program developed on the basis of the diffusion and sorption model provides the estimation of chloride concentration variation according to cyclic humidity and temperature. The humidity diffusion analysis is carried out, and the chloride ion diffusion and sorption analysis are conducted on the basis of the pre-estimated humidity data in each element. Each element has different variables at different ages and locations in analysis. At early ages, the difference of relative humidity between inner and outer concretes causes the chloride ion penetration by sorption. As the humidity diffusion reduces the difference of relative humidity between inner md outer concretes with age, the effect of sorption on the chloride ion penetration decreases with age. The cyclic humidity increases the effect of sorption on the chloride ion penetration at early ages, and increases the quantity of chloride ion around steel at later ages. Therefore, the in-situ analysis of chloride ion Penetration for harbor concrete structures must be Performed considering the cyclic humidity conditionandthelongtermsorption.

분자동역학을 이용한 다공성 물질 건조공정 멀티스케일 시뮬레이션(1부 : 균질화법 해석)

  • 금영탁;오진원;백성민
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.05a
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    • pp.67-67
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    • 2004
  • 다공성 물질을 건조하거나 습한 환경에 노출시키면 열과 수분이 외부로 전달된다. 열 및 수분 전달로 인한 은도 및 습도의 변화는 물질 체적을 변화시켜 습열 응력을 유발시킨다 즉 다공성 제품의 품질은 외양뿐만 아니라 건조 공정 시의 온도, 수분함유량, 응력, 변형률 등의 공정변수에 크게 영향을 받는다. 최근까지도 다공성 물질의 생산 공정은 다수의 공정변수를 갖는 복합공정이기 때문에 이들의 영향을 정량적으로 평가하는 것은 매우 까다로워 현장 경험에 기초한 기술자의 노하우에 의존해 왔다.(중략)

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A Moisture Diffusivity Model of Hardening Concrete (경화하는 콘크리트의 수분확산도 모형)

  • Jeong, Jin-Hoon
    • International Journal of Highway Engineering
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    • v.7 no.1 s.23
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    • pp.31-38
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    • 2005
  • Concrete has higher vapor pressure than its surrounding ambient air immediately after placement. Moisture at concrete surface evaporates to the ambient air to adjust equilibrium of the vapor pressure between them. The moisture inside the concrete moves to the surface because the evaporation at the surface causes gradient of vapor pressure inside the concrete. Plastic cracking, degree of hydration, strength development, and others caused by velocity of the moisture movement significantly influences quality of concrete. In this paper, the moisture diffusivity of early-age concrete was back-calculated using governing equation of the moisture diffusion, and temperature and relative humidity of concrete measured in a laboratory. The moisture diffusivity of the concrete was modeled using the back-calculated moisture diffusivity. The relative humidity of the concrete calculated by finite element method (FEM) using the modeled moisture diffusivity as Input data coincided with the measured relative humidity well.

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Finite Difference Model of Unsaturated Soil Water Flow Using Chebyshev Polynomials of Soil Hydraulic Functions and Chromatographic Displacement of Rainfall (Chebyshev 다항식에 의한 토양수분특성 및 불포화 수리전도도 추정과 부분 치환 원리에 의한 강우 분포를 이용한 토양수분 불포화 이동 유한차분 수리모형)

  • Ro, Hee-Myong;Yoo, Sun-Ho;Han, Kyung-Hwa;Lee, Seung-Heon;Lee, Goon-Taek;Yun, Seok-In;Noh, Young-Dong
    • Korean Journal of Soil Science and Fertilizer
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    • v.36 no.4
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    • pp.181-192
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    • 2003
  • We developed a mathematical simulation model to portray the vertical distribution of soil water from the measured weather data and the known soil hydraulic properties, and then compared simulation results with the periodically measured soil water profiles obtained on Jungdong sandy loam to verify the model, In this model, we solved potential-based Richards' equation by the implicit finite difference method superimposed on the predictor-corrector scheme. We presumed that: soil hydraulic properties are homogeneous; soil water flows isothermally; hysteresis is not considered; no vapor flows; no heat transfers into the soil profiles; and water added to soil surface is distributed along the soil profile following partial displacement principle. The input data were broadly classified into two groups: (1) daily weather data such as rainfall, maximum and minimum air temperatures, relative humidity and solar radiation and (2) soil hydraulic data to approximate unsaturated hydraulic conductivity and water retention. Each hydraulic polynomial function approximated using the Chebyshev polynomial and least square difference technique in tandem showed a fairly good fit of the given set of data. Vertical distribution of soil water as approximations to the Richards' equation subject to changing surface and phreatic boundaries was solved numerically during 53 days with a comparatively large time increment, and this pattern agreed well with field neutron scattering data, except for the surface 0.1 m slab.

2-Dimensional Moisture Migration Modeling in Drip-Irrigated Root Zone (점적관개(點滴灌漑)에서 토양수분 이동 현상에 대한 2차원 모델 개발 연구)

  • Ro, Hee-Myong;Kim, Seung-Hyun
    • Korean Journal of Soil Science and Fertilizer
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    • v.30 no.4
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    • pp.314-327
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    • 1997
  • A 2-dimensional soil water flow model was developed to describe the migration of soil moisture in drip-irrigated root zone employing cylindrical coordinate system. Several natural phenomena were incorporated into the model such as transpiration, various types of evaporation, and ponding due to the increase in irrigation rate. Model was solved numerically by finite difference method. The model was verified in several ways leading to the conclusion that it can describe the soil moisture migration in drip-irrigated root zone fairly well. From sensitivity analysis, vertical migration of soil moisture was found to move faster than the horizontal one, which indicates the vertical location just under the dripping point are adequate for measuring points of soil moisture. The pot shape of soil moisture in irrigated zone was proved to be caused by evaporation at the soil surface. Also, it was found that the hydraulic conductivity has greatly influential to the soil moisture migration, and that the soil moisture continues to migrate vertically after irrigation stops.

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Heat Transfer Equation and Finite Element Analysis Considering Frozen Ground Condition the Cyclic Loading (지반의 동결조건을 고려한 열전도 구성방정식과 유한요소해석)

  • Kim, Young-Seok;Kang, Jae-Mo;Hong, Seung-Seo;Kim, Kwang-Jin
    • Journal of the Korean Geosynthetics Society
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    • v.9 no.3
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    • pp.39-45
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    • 2010
  • When the ground temperature drops below $0^{\circ}C$, wet soils expand due to the ice formation in their porous space. This results in frost heave which causes structural stability problems. Frost heave is attributed by several factors such as physical soil properties and heat transfer including pore water phase change. Due to the complex physical phenomena, reliable and verified multi-dimensional numerical models for frost heave problems are still in a research stage. This study presents an efficient and simple method of overcoming numerical problems associated with sudden jump of heat capacity due to the phase change from water to ice in the pore space. This paper proposes heat transfer equation and finite element method when the saturated soils or porous rocks are subjected to freezing. Numerical analyses using the proposed method agree well with the known closed form solution and the laboratory test results.

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A Experimental and Numerical Studies of Thermal Flow Motion in a Geothermal Chamber (동결챔버내의 열 흐름에 관한 실험 및 수치해석적 연구)

  • 송원근;김영진;이형일
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.3
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    • pp.219-228
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    • 2003
  • Numerical and experimental studies were conducted on the temperature distribution of a buried steel pipe and surrounding granite frozen soils in the closed system. The relationship between unfrozen water content and temperatures was analysed by laboratory test. The thermal conductivity measurements were made to compare the results with a formula presented by Lachenbruch. A steel container model that consists of a freezing chamber and a buried circular steel pipe was built for the laboratory temperature measurements. The time temperature records were measured experimentally, and those records were compared with numerical results obtained from FEM analysis in order to verify the feasibility. The latent heat effect on the granite frozen soils in the numerical study was considered.

Sensitivity Analysis of Infiltration using a Mass Conservative Numerical Solution of Richards Equation (Richairds 방정식의 질량보존적 수치해석 해법에 의한 침투량의 민감도분석)

  • Choi, Hyun Il
    • Journal of Korean Society on Water Environment
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    • v.23 no.5
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    • pp.683-688
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    • 2007
  • Water flow into unsaturated soils is most often modeled by Richards equation consisting of the mass conservation law and Darcy's law. Three standard forms of Richards equation are presented as the head (${\Psi}$)-based form, the moisture content (${\theta}$) based form, and the mixed form. Numerical solutions of these partial differential equations with highly nonlinear terms can cause poor results along with significant mass balance errors. The numerical solution based on the mixed form of Richards equation is known that the mass is perfectly conserved without any additional computational efforts. The aim of this study is to develop fully implicit numerical scheme of Richards equation for one-dimensional vertical unsaturated flow in homogeneous soils using the finite difference approximation, and then to perform sensitivity analysis of infiltration to the variations in the unsaturated soil properties and to different soil types.