• Proceedings of the Korea Water Resources Association Conference
• /
• 2020.06a
• /
• pp.89-89
• /
• 2020

본 연구에서는 GPU 가속화 기반의 Boussinesq 모형인 Celeris Advecnt에 수심 적분된 2차원 이송-확산방정식을 추가하여 인터렉티브 시스템 기반의 추적자 이동 모형을 개발하였다. Celeris Advent는 최초로 개발된 인터렉티브 시스템을 갖춘 Boussinesq 모형으로, 시뮬레이션 중에 사용자가 모형의 파라미터뿐 아니라 모델 도메인 내 수위 및 수심을 바꿀 수 있다. 이를 통해 사용자는 모의가 진행되는 도중에 모델의 안정성 및 효율성을 위해 시간 간격을 조정할 수 있을 뿐 아니라 방파제 설치 등과 같은 지형 변화를 고려하기 위해 도메인 내 격자별 수심을 조정할 수 있다. 본 연구에서는 연안에서의 추적자 이동 모의를 위해 Boussinesq 방정식과 더불어 이송-확산방정식을 풀이하는 추적자 이동 모형을 개발하였다. 추적자의 확산항의 경우 분자 자체의 확산과 더불어 쇄파에 따른 난류 확산을 고려하였다. 난류 확산계수는 슈미트 수를 1로 두어 와동점성계수와 동일하게 두었으며, 와동점성은 단순화된 형태의 쇄파모형을 고려하여 계산하였다. 쇄파모형의 고려로 인해 이송-확산방정식과 더불어 운동량 방정식에서도 쇄파에 따른 운동량 소산이 고려되었다. 마지막으로, 추적자 농도에 대한 인터렉티브 시스템을 추가하여, 모델 구동 중에도 사용자가 수심적분된 추적자 농도를 조정할 수 있도록 하였다. 기수행된 2개의 수리실험 조건과 관측값을 이용하여 벤치마크 테스트를 수행하였으며, 관측값과 대체로 일치하는 것을 확인하였다.

• Economic and Environmental Geology
• /
• v.38 no.1
• /
• pp.79-89
• /
• 2005

Groundwater level changes in coastal aquifers occur due to oceanic tides, where the properties of oceanic tides can be applied to estimate hyadraulic parameters. Hydraulic parameters of coastal aquifers located in eastern part of Jeju island were estimated using the tidal response technique. Groundwater level data from a saltwater intrusion monitoring well system was used which showed tidal effects from 3 to 5 km. The hydraulic gradient was assessed by utilizing the filtering method from 71 consecutive hourly water-level observations. Calculated hydraulic diffusivity ranged from 2.94${\times}10^7m^2d^{-1}$ to 4.36${\times}10^7m^2d^{-1}$ . The hydraulic gradient of the coastal aquifer area was found to be ~$10^{-4}$, whereas the gradient of the area between wells Handong-1 and 2 was found to be ~$10^{-6}$, which is very low comparatively. Analysis of groundwater monitoring data showed that groundwater levels are periodically higher near coastal areas compared to that of inner land areas due to oceanic tide influences. When assessing groundwater flow direction in coastal aquifers it is important to consider tidal fluctuation.

• Journal of the Korean Society of Groundwater Environment
• /
• v.1 no.2
• /
• pp.105-112
• /
• 1994

To investigate the migration behavior of contaminants in rocks. adsorption and diffusion experiments for Sr as a sorbing contaminant and for Cr-EDTA as a non-sorbing contaminant were carried out on granitic rocks. The Sr adsorption on separated minerals and crushed rocks tends to slightly increase with increasing pH. It also greatly decreases with the increase of ionic strength in NaCl solution. Among separated minerals, biotite and sericite have adsorbed much more amount of Sr than other rock-forming minerals, such as quartz, plagioclase, and potassic feldspar, because the specific surfaces and cation exchange capacities of phyllosilicates are generally much greater than those of the other rock-forming minerals. The intrinsic diffusion coefficients of Cr-EBTA for granitic rocks differ little from those of Sr. This indicates that they are independent of water-rock interactions. Experimental data show that the intrinsic diffusion coefficients are positively correlated with the porosities of the rocks. They are close to the theoretically predicted values, especially in pre-steady state diffusion region, with the increase of rock sample thickness.

• Water for future
• /
• v.28 no.4
• /
• pp.195-204
• /
• 1995

New dispersion coefficient equation which can be used to estimate dispersion coefficient by using only hydraulic data easily obtained in natural streams has been developed. Dimensional analysis was performed to select physically meaningful parameters, One-Step Huber method, which is one of the nonlinear multi-regression method, was applied to derive a regression equation of dispersion coefficient. 59 measured hydraulic data which were collected in 26 streams in the United States and were analyzed in the Part I of this study, were used in developing new dispersion coefficient equation. Among 59 measured data sets, 35 data sets were used in deriving regression equation, and 24 data sets are used for verification. The new dispersion coefficient equation, which has been developed in this study was proven to be superior in explaining dispersion characteristics of natural streams more precisely compared to existing dispersion coefficient equations.

• Korean Journal of Soil Science and Fertilizer
• /
• v.23 no.1
• /
• pp.8-14
• /
• 1990

Retardation and hydrodynamic dispersion coefficient necessary for model of water and solute movement in a soil were determined for horizontal soil column with different initial soil water conditions. The soil columns were compacted with sandy loam soil. The bulk density was $1,350+50kg/m^3$, and initial water contents were 0.05, 0.08 and 0.14. Advancement of 0.05% $CaSO_4$ solution was used as the standard and advancements of 0.5% KCl, $CaCl_2$ and $KH_2PO_4$ were compared. Retardation of non-reactive $Cl^-$ was related with the initial soil water content, ${\theta}n$, as ${\theta}/({\theta}-{\theta}n)$, and anion exclusion was ignored. Retardations of active $K^+$, $Ca^{{+}{+}}$ and $H_2PO_4{^-}$ were related as 1/(R+1) $^*{\theta}/({\theta}-{\theta}n)$, in which R was retardation coefficient. Measured R was 0.64 for $K^+$, 0.80 for $Ca^{{+}{+}}$ and 2.6 for $H_2PO_4{^-}$, respectively. Calculated R using Langmuir adsorption isotherm showed fair degree of applicability. Soil water diffusivity, $D({\theta}),m^2/sec$, calculated for different initial water content showed unique function as $$log(D({\theta}))=13.448{\theta}-9.288$$ Hydrodynamic dispersion coefficient of $Cl^-$ above soil water content 0.36 was similar to soil water diffusivity and decreased to near self diffusion coefficient at soil water content near 0.2. Those of $K^+$, $Ca^{{+}{+}}$ $H_2PO_4{^-}$ at soil water content of 0.38 were $5.5{\times}10^{-6}$, $2.4{\times}10^{-6}$ and $7.1{\times}10^{-7}m^2/sec$ and decreased rapidly with decreasing soil water content lower than 0.36.

• Proceedings of the Korean Society of Soil and Groundwater Environment Conference
• /
• 2004.04a
• /
• pp.366-369
• /
• 2004

조석의 효과가 대수층에 미치는 해안대수층에서 지하수-기표수 상호작용에 관한 모사를 위해 수치모델링을 이용하였다 모사에 사용한 모델은 하천경계와 해안경계가 서로 직교하며 하천은 대수층을 부분 관통하고 있다. 해안경계와 하천경계에 의한 동시영향을 함께 모사한 결과, 해안경계에 의한 효과는 일정한 범위까지만 나타났으나, 하천경계에 의한 영향은 시간의 증가에 따라 영향범위가 넓어졌다. 하천경계와 해안경계조건이 만나는 부근에서는 해안경계에 의한 지하수위의 반복적인 상승과 하강으로 인해 두 경계조건에 의한 지하수위가 상호 상승작용을 일으키기도 하고 상호 상쇄되어 지하수위의 변화가 없는 엉역이 나타나기도 한다. 따라서 이러한 하천과 해안경계조건이 상호 교차하는 주변 대수층에서의 수위를 측정하여 해안대수층에서의 수리상수를 추정하면 수리확산계수를 과대 혹은 과소평가하는 오류를 범할 수 있으므로 주의를 요한다.

• Journal of Korea Water Resources Association
• /
• v.33 no.4
• /
• pp.407-417
• /
• 2000

To estimate the longitudinal dispersion coefficient at the downstream of Jungrang-River, the undistorted 1/20 scale hydraulic model was used in this study. Experiments were conducted for dry season discharge, and Rhodamine B was used as a tracer. The relationship curve between concentration and conductivity of Rhodamine B was otained by laboratory test, and the conductivity which was measured in hydraulic model was converted to concentration using this curve. The longitudinal dispersion coefficient was calculated using the relationship between the peak concentration and the time to peak concentration. The results of this study were compared with the calculated values by the empirical equations for the longitudinal dispersion coefficient and with the field data. The results of comparison show that Parker's equation underestimates, and Liu'g equation and Iwasa and Aya's one overestimate, and McQuivey and Keefer's equations, Fischer's one, Magazine's one, and Seo and Cheong's one predict relatively well. The measured data sets were relatively close to the observed ones in natural river. The longitudinal dispersion coefficient at the downstream of Jungrang-River was estimated $10\textrm{m}^2/s$.

• The Korean Journal of Applied Statistics
• /
• v.21 no.5
• /
• pp.801-811
• /
• 2008

Modeling financial phenomena with diffusion processes is a commonly used methodology in the area of modern finance. Recently, various types of diffusion models have been suggested to explain the specific financial processes, and their related inference methodology have been also developed. In particular, likelihood methods for the efficient and accurate inference have been explored in various ways. In this paper, we review the mathematical properties of an approximated likelihood method, which is obtained by linearizing the drift coefficient of a diffusion process.

• Water for future
• /
• v.28 no.2
• /
• pp.137-143
• /
• 1995

The location and the shape of freshwater-saltwater transition zones in coastal aquifers are affected by many hydraulic variables. To date most work to determine the effects of these variables are limited to qualitative comparison of transition zones. In this work characteristics of transition zones (maximum intrusion length, thickness, and degree of stratification) are quantified, and effects of principal hydraulic variables(velocity and dispersivity) on these characteristics are studied using a numerical model. Dimensional analysis is used to assemble entire model results. Effects of velocity and dispersivity are seen clearly. From this study, increase in velocity is found to cause shrinkage of transition zones. This observation contradicts claims by some that, because dispersion is proportional to velocity, increase in velocity would cause expansion of transition zones.

• Journal of Korea Water Resources Association
• /
• v.54 no.11
• /
• pp.863-873
• /
• 2021

The mechanical dispersion which dominates solute transport in porous media is caused by the difference in flow velocity within pores. Longitudinal dispersion coefficient and longitudinal dispersivity that are hydro-dispersive parameters of advection-dispersion equation can only be obtained by experiment. Hydraulic mean radius that represents the amount and intensity of flowing water within pores can be obtained by the formula using the factors for physical properties. A slug injection test was conducted and a power type empirical formula for obtaining a longitudinal dispersivity using a hydraulic mean radius in rockfill porous media was derived. It is possible to obtain the longitudinal dispersivity depending on transport distance because it contains a formula for a scale constant, and expected to be applicable to waterways filled with homogeneous gravel and small flow rate.