• 한국지반공학회논문집
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• 제30권2호
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• pp.77-85
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• 2014

3상으로 이루어진 다공성 매질 내에서 공기의 흐름을 확인하기 위해 실내시험과 수치해석 알고리즘의 비교분석을 하였다. 불포화 지반내의 유체의 흐름을 확인하는 연구는 이산화탄소 지중저장을 위한 안정성 예측을 위해 중요한 기초연구이다. 일반적으로 대기압에 노출되어 있는 지반공학적인 문제들은 3상 다공성 매질 내부에서 발생할 수 있는 공기압을 '0'으로 가정하고 해석하지만, 지중 1km 지점에서의 불포화토의 거동은 기체압력을 고려하여 지반의 변형과 연계해석이 필수적이다. 본 연구는 이러한 지중 깊숙한 곳에서 발생할 수 있는 불포화 지반의 거동을 해석하고자 공기압의 확산과 소산에 대한 수치해석과 실내배수시험을 비교분석하여 유한요소해석 알고리즘을 검증하고자 한다.

• 대한환경공학회지
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• 제30권10호
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• pp.984-991
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• 2008

본 연구에서는 다공성 포화매질내에서 페놀의 제거를 위해 효소 중합반응의 적용성을 조사하였다. 페놀로 오염된 지하수의 모의실험으로 실험실 규모의 모래 충진 칼럼(ID: 4.1 cm, 충진높이: 12 cm)에 HRP와 과산화수소수를 주입하여 페놀 제거율 및 고분자 생성율에 대한 효소량(0$\sim$2 AU/mL), 이온강도(5$\sim$100 mM), pH(5$\sim$9)의 영향을 평가하였다. 페놀의 제거율은 효소량 2.0 AU/mL, 이온강도 20 mM, pH 7에서 각각 유입농도의 90% 이상을 유지하였다. 유입페놀은 다공성 매질에 축적되는 불용성 고분자와 유출되는 용해성 고분자들로 변환되었다. 최대 약 8%의 공극부피가 고분자화 반응으로부터 생산된 불용성 고분자에 의해 감소되었다.

• Computers and Concrete
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• 제4권2호
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• pp.157-166
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• 2007

The paper considers a theoretical model to study sulfate ion diffusion in saturated porous media - cement based mineral composites, accounting for simultaneous effects, such as filling micro-capillaries (pores) with ions and chemical products and liquid push out of them. Pore volume change and its effect on the distribution of ion concentration within the specimen are investigated. Relations for the distribution of the capillary relative radius and volume within the composite under consideration are found. The numerical algorithm used is further completed to consider capillary size change and the effects accompanying sulfate ion diffusion. Ion distribution within the cross section and volume of specimens fabricated from mineral composites is numerically studied, accounting for the change of material capillary size and volume. Characteristic cases of 2D and 3D diffusion are analyzed. The results found can be used to both assess the sulfate corrosion in saturated systems and predict changes occurring in the pore structure of the composite as a result of sulfate ion diffusion.

• 대한토목학회논문집
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• 제13권5호
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• pp.109-122
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• 1993

유체포화 다공매체에서의 단계적 굴착시 형상변화로 인한 구조거동을 시간종속적 배수이론으로 예측하기 위한 유한요소해석방법을 제시하였다 시간종속적 배수거동을 고려한 유한요소방정식을 유도하기 위하여 Biot의 방정식을 사용하였다. 이론해가 존재하는 재하 하중에 의한 시간종속적 배수거동 문제의 해석과 완전배수거동시 1단계 굴착과 다단계 굴착시의 변형이 동일한가를 확인하므로써 유도된 방법의 타당성을 검증하였다. 1차원 및 2치원 문제에 대하여 시간종속적 배수모형과 완전배수모형에 의한 결과를 비교하여 그 차이를 예시하였다. 또한 단계적 굴착시 굴착속도 및 투수계수의 변화에 따른 영향도 분석하였다. 수치해석 시뮬레이션을 통해, 다공매체지반의 굴착해석시에는 시간종속적 배수거동에 근거한 해석이 보다 신뢰할 수 있음을 고찰하였다.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제19권2호
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• pp.197-215
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• 2015

Modeling water flow in variably saturated, porous media is important in many branches of science and engineering. Highly nonlinear relationships between water content and hydraulic conductivity and soil-water pressure result in very steep wetting fronts causing numerical problems. These include poor efficiency when modeling water infiltration into very dry porous media, and numerical oscillation near a steep wetting front. A one-dimensional finite element formulation is developed for the numerical simulation of variably saturated flow systems. First order backward Euler implicit and second order Crank-Nicolson time discretization schemes are adopted as a solution strategy in this formulation based on Picard and Newton iterative techniques. Five examples are used to investigate the numerical performance of two approaches and the different factors are highlighted that can affect their convergence and efficiency. The first test case deals with sharp moisture front that infiltrates into the soil column. It shows the capability of providing a mass-conservative behavior. Saturated conditions are not developed in the second test case. Involving of dry initial condition and steep wetting front are the main numerical complexity of the third test example. Fourth test case is a rapid infiltration of water from the surface, followed by a period of redistribution of the water due to the dynamic boundary condition. The last one-dimensional test case involves flow into a layered soil with variable initial conditions. The numerical results indicate that the Crank-Nicolson scheme is inefficient compared to fully implicit backward Euler scheme for the layered soil problem but offers same accuracy for the other homogeneous soil cases.

• Advances in environmental research
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• 제3권1호
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• pp.45-69
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• 2014

The groundwater has been a major source of water supply throughout the ages. Around 50% of the rural as well as urban population in the developing countries like India depends on groundwater for drinking. The groundwater is also an important source in the agriculture and industrial sector. In many parts of the world, groundwater resources are under increasing threat from growing demands, wasteful use and contamination. A good planning and management practices are needed to face this challenge. A key to the management of groundwater is the ability to model the movement of fluids and contaminants in the subsurface environment. It is obvious that the contaminant source activities cannot be completely eliminated and perhaps our water bodies will continue to serve as receptors of vast quantities of waste. In such a scenario, the goal of water quality protection efforts must necessarily be the control and management of these sources to ensure that released pollutants will be sufficiently attenuated within the region of interest and the quality of water at points of withdrawal is not impaired. In order to understand the behaviour of contaminant transport through different types of media, several researchers are carrying out experimental investigations through laboratory and field studies. Many of them are working on the analytical and numerical studies to simulate the movement of contaminants in soil and groundwater of the contaminant transport. With the advent of high power computers especially, a numerical modelling has gained popularity and is indeed of particular relevance in this regard. This paper provides the state of the art of contaminant transport and reviews the allied research works carried out through experimental investigation or using the analytical solution and numerical method. The review involves the investigation in respect of both, saturated and unsaturated, porous media.

• 한국전산구조공학회논문집
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• 제23권4호
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• pp.361-368
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• 2010

본 논문에서는 Park and Tak(2010)이 제안한 다공질매체 스태거드 방법의 효율성을 제고하기 위해 MPI(Message- Passing Interface) 라이브러리를 통한 병렬해석이 소개된다. 이를 위해 비압축, 비투과성 포화 다공질매체와 FEM을 통한 스태거드 방법이 간략히 소개된다. 그리고 병렬해석을 위한 MPI 라이브러리를 소개하고 스태거드 방법에 블록킹, 논블록킹 MPI 라이브러리를 접목시킨 병렬해석 알고리즘을 제안한다. 여기서는 변위와 간극수압 계산에서의 CPU 할당방법과 MPI 통신 규약을 통한 효율적인 프로그래밍 방법을 제시하고, 수치효율성을 검증하기 위한 2차원 모델의 순차해석과 병렬 해석 결과 값들을 요소개수에 따라 계산시간이 비교 검증된다.

• Computers and Concrete
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• 제4권4호
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• pp.273-284
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• 2007

The paper considers a theoretical model for the study of the process of transfer of sulfate ions in saturated porous media - mineral composites. In its turn, the model treats diffusion of sulfate ions into cement based composites, accounting for simultaneous effects such as filling of micro-capillaries with ions and chemical products and liquid push out of them. The proposed numerical algorithm enables one to account for those simultaneous effects, as well as to model the diffusive behavior of separate sections of the considered volume, such as inert fillers. The cases studied illustrate the capabilities of the proposed model and those of the algorithm developed to study diffusion, considering the specimen complex configuration. Computations show that the theoretical assumptions enable one to qualitatively estimate the experimental evidence and the capabilities of the studied composite. The results found can be used to both assess the sulfate corrosion in saturated systems and predict and estimate damage of structures built of cement-based mineral composites.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2005년도 춘계 학술발표회 논문집
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• pp.354-361
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• 2005

Physical parameters such as porosity and effective porosity are important physical parameters that determine the transfer and movement of water and solutes in porous media. Various methods of determining these parameters have been developed, with varying degrees of accuracy and applicability. Most of the existing methods produce static results. They do not produce instantaneous and real time of porosity and effective porosity in a porous media. In this study, a new permittivity method called Frequency Domain Reflectometry with Vector analyzer (FDR-V) is proposed to determine the porosity and effective porosity of some sand samples in the laboratory. The advantage of the FDR-V method is that it instantaneously determines the temporal variation of dielectric constants of porous media. Then, the porosity and the effective porosity of porous media are computed using well established empirical equations. Results obtained from the FDR-V method compared favorably with results from other permittivity methods such as gravimetric, injection and replacement tests. The ratio of effective porosity to porosity was $85{\sim}92%$, when FDR-V was used. This value compared favourably with 90%, which has been usually quoted in previous studies. Considering the convenience and its applicability, the measurement system of FDR-V permittivity holds a great potential in porous media and contaminant transport studies.

• Geomechanics and Engineering
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• 제2권2호
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• pp.141-156
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• 2010

In the framework of meshfree methods, a new methodology is developed based on radial point interpolation method (RPIM). This methodology is applied to a one-dimensional contaminant transport modelling in the saturated porous media. The one-dimensional form of advection-dispersion equation involving reactive contaminant is considered in the analysis. The Galerkin weak form of the governing equation is formulated using 1D meshfree shape functions constructed using thin plate spline radial basis functions. MATLAB code is developed to obtain the numerical solution. Numerical examples representing various phenomena, which occur during migration of contaminants, are presented to illustrate the applicability of the proposed method and the results are compared with those obtained from the analytical and finite element solutions. The proposed RPIM has generated results with no oscillations and they are insensitive to Peclet constraints. In order to test the practical applicability and performance of the RPIM, three case studies of contaminant transport through the landfill liners are presented. A good agreement is obtained between the results of the RPIM and the field investigation data.