• Title/Summary/Keyword: 포화투수계수

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Parameter Estimation of Groundwater Flow in Hillside Slopes Using Bayesian Approach (사면의 지하수 흐름에서 Bayesian 이론을 이용한 매개변수 추정)

  • 이인모;이주공;김영욱
    • Journal of the Korean Geotechnical Society
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    • v.17 no.2
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    • pp.51-57
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    • 2001
  • 지하수위의 상승에 따른 간극수압의 증가는 사면의 불안정을 야기할 수 있다. 그러나 모델링 오차, 계측오차, 모델변수의 불확실성 등과 같은 오차로 인하여 사면에서의 지하수위 변동을 예측하는 것은 매우 어렵다. 이러한 불확실성을 극복하고 지하수위 변동을 평가하기 위한 최적의 모델변수를 구하기 위하여 역해석 기법이 사용되고 있다. 본 논문에서는 사면에서의 지하수위 변동을 예측하기 위하여 포화대에서의 지하수 흐름과 불포화대에서의 지하수 흐름을 동시에 고려할 수 있는 수치해석 모델과 변수예측기법을 적용하였다. 따라서, 본 논문에서는 포화투수계수($K_{s}$ ), 포화흡인력($\psi$$_{e}$) 및 불포화 투수계수의 함수에 사용되는 경험적인 상수(b)를 주요 매개변수로 선정하여 역해석을 실시하였다. 그리고, 역해석 기법 가운데 Maximum Likelihood(MK), Maximum-A-Posterior(MAP) 및 Extended Bayesian Method(EBM)에 대하여 비교연구를 실시하였다. 위의 세가지 방법 가운데 EBM은 가상의 변수(Hyperparameter) $\beta$를 도입함으로써 현장계측치와 사전정보를 가장 잘 조화시키는 방법으로 다른 ML, MAP 보다 탁월한 방법인 것을 알 수 있었다.

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A Comparison of Soil Hydraulic Conductivities Determined by Three Different Methods in a Sandy Loam Soil (토양(土壤)의 포화투수계수(飽和透水係数) 측정법(測定法) 비교(比較) 연구(硏究))

  • Park, Moo-Eon;Yoo, Sun-Ho
    • Korean Journal of Soil Science and Fertilizer
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    • v.16 no.1
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    • pp.14-19
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    • 1983
  • Comparison and evaluation of various wellknown methods to determine the saturated hydraulic conductivity of soil were attempted in order to choose a convenient and reliable method applicable, at least, to Bonryang sandy loam (coarse loamy over sandy, mixed, mesic family of Typic Udifluvents). Three experimental methods, inversed auger hole, infiltrometer, and core sample method, were used for this purpose. The results were summarized as follows: 1. The inversed auger hole method was highly correlated with the infiltrometer method while the core sample method was poorly correlated with other two methods. 2. The inversed auger hole method was proved to be convenient and reliable method to measure the hydraulic conductivity of upland coarse textured soils in situ. 3. The hydraulic conductivity determined by the infiltrometer method converged to a constant value after 80 to 100 minutes from starting of measurement. 4. The conductivity determined by the inversed auger hole method approached to a constant value at 5 or 6th run of measurement. 5. The hydraulic conductivity determined by the core sample method was greatly under estimated in comparison with the values obtained by other two methods.

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Estimation of Hydraulic Conductivity of Soils Based on Biot's Theory of Wave Propagation (Biot 파동전파 이론을 이용한 지반의 투수계수 산정)

  • Song, Chung R.;Kim, Jinwon;Koocheki, Kianoosh
    • Journal of the Korean Geotechnical Society
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    • v.36 no.12
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    • pp.7-16
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    • 2020
  • This study presents an acoustic technique to estimate the hydraulic conductivity of soils. Acoustic attenuation and propagation velocity spectra were measured for dry and saturated sandy specimens to confirm that the relationship between Biot's characteristic frequency and its associated hydraulic conductivity exists only for saturated soils. From the experiments presented in this paper, both attenuation-based and propagation-velocity-based techniques resulted in almost identical characteristic frequencies for saturated soils. The propagation velocity based measurements, however, show a a a slightly clearer trend compared to the attenuation based measurements. The results also show that the acoustically estimated hydraulic conductivities of soils agree well with constant head laboratory test results, demonstrating that this acoustic technique can be a useful nondestructive tool to estimate the hydraulic conductivity of sandy or silty soils.

A Study on Velocity-Log Conductivity, Velocity-Head Cross Covariances in Aquifers with Nonstationary Conductivity Fields (비정체형 지하대수층의 속도-대수투수계수, 속도-수두 교차공분산에 관한 연구)

  • Seong, Gwan-Je
    • Journal of Korea Water Resources Association
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    • v.31 no.4
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    • pp.363-373
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    • 1998
  • In this study, random flow field in a nonstationary porous formation is characterized through cross covariances of the velocity with the log conductivity and the head. The hydraulic head and the velocity in saturated aquifers are found through stochastic analysis of a steady, two-dimensional flow field without recharge. Expression for these cross covariances are obtained in quasi-analytic forms all in terms of the parameters which characterize the nonstationary conductivity field and the average head gradient. The cross covariances with a Gaussian correlation function for the log conductivity are presented for two particular cases where the trend is either parallel or perpendicular to the mean head gradient and for separation distances along and across the mean flow direction. The results may be of particular importance in transport predictions and conditioning on field measurements when the log conductivity field is suspected to be nonstationary and also serve as a benchmark for testing nonstationary numerical codes. Keywords : cross covariance, nonstationary conductivity field, saturated aquifer, stochastic analysis.

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Laboratory Evaluation of Soil Permeability for Sand Using Biot's Acoustic Wave Propagation Theory (Biot 음향 전파 이론을 이용한 실내 사질 시료의 투수계수 산정)

  • Kim, Jin-Won;Song, Chung-Rak
    • Journal of the Korean Geotechnical Society
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    • v.24 no.8
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    • pp.5-12
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    • 2008
  • Biot proposed the frequency dependent formulation for the propagation of elastic waves in saturated media based on the coupled theory mixtures. Based on Biot theory, a special frequency called 'the characteristic frequency' contains unique information of the permeability of soils. The characteristic frequency is measured from I/Q (inverse quality factor) versus frequency curve by an acoustic sweep test, and the permeability of soils is computed from Biot equation. In this paper, laboratory tests are performed at The University of Mississippi using a large test box. The measured characteristic frequency is consistently obtained at 3500 Hz for mortar sands. The computed permeability of mortar sands based on Biot equation turned out 2.01 $10^{-4}m/sec$, while the permeability from the laboratory constant head test turned out 1.49 $10^{-4}m/sec$. This paper addresses the theoretical background and experimental procedure of this technique.

Estimation of Infiltration Capacity by Unsaturated Permeability in Rainfall (강우시 불포화투수계수를 이용한 침투능 산정)

  • Lee, Jung-Sik;Cho, Sung-Geun;Shin, Chang-Dong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2011.05a
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    • pp.387-391
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    • 2011
  • 국내에서 사면 붕괴의 직접적인 원인은 강우에 의한 것으로 볼 수 있으며, 강우침투에 따른 지하수위 상승과 간극수압 증가, 강우강도 크기에 직접적으로 영향을 받는 지표면 유출로 인한 사면의 표면토사 유출 및 얕은 사면붕괴로 나타난다. 본 연구에서는 강우로 인한 지반내 침투로 불포화토가 포화토로 변화는 과정에서 침투능을 산정하고자 기존의 침투공식을 검토하고 TDR 센서를 이용한 실내실험을 통한 침투능 산정공식을 제시하였다. 제시한 침투능 산정공식을 검증하기 위한 침투실험을 수행하여 결과를 비교 분석하였으며, 이론적 해석 및 실내실험에 의한 결과는 다음과 같다. 첫째, 포화도 변화에 따른 TDR데이터 변화는 일정했으며 이를 회귀분석을 통하여 함수화하였고, 이 함수를 이용하여 지반의 포화도 및 함수비를 파악할 수 있었다. 둘째, 흡인수두항과 중력수두항이 결합된 연속적인 침투능 산정공식을 새로이 유도하였으며, 이를 이용한 결과와 TDR 센서를 이용한 실험결과와 거의 유사함을 알 수 있었다.

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Shallow Failure Characteristics of Weathered Granite Soil Slope in accordance with the Rainfall Infiltration (강우침투에 따른 화강풍화토 사면의 얕은파괴 특성)

  • Kim, Sun-Hak
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.10
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    • pp.2810-2818
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    • 2009
  • In order to examine the characteristic of shallow failure in cut slopes composed of weathered granite soil, this study calculated critical permeability coefficient according to rainfall characteristic in Korea, performed stability analysis according to the representative physical properties of weathered granite soil distributed in Korea such as horizontal distance to the failure surface of cut slope, slope inclination, slope height, and the depth of wetting by rainfall, and analyzed the results. In the results of analyzing critical permeability coefficient, when the local rainfall characteristic was considered, the maximum critical permeability coefficient was $7.16{\times}10^{-4}cm/sec$. We judged that shallow failure according to wetting depth should be considered when rainfall below the critical rainfall intensity lasts longer than the minimum rainfall duration in cut slopes composed of weathered granite soil, which had a critical permeability coefficient lower than the maximum critical permeability coefficient. Furthermore, using simulated failure surface, this study could understand the characteristic of shallow failure in cut slopes based on the change in slope safety factor according to horizontal distance, wetting depth, and strength parameter.

Effect of Confining Pressure, Temperature, and Porosity on Permeability of Daejeon Granite: Experimental Study (대전 화강암의 투수계수에 미치는 구속압, 온도, 공극률의 영향: 실험적 연구)

  • Donggil Lee;Seokwon Jeon
    • Tunnel and Underground Space
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    • v.34 no.1
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    • pp.71-87
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    • 2024
  • In deep geological disposal of high-level radioactive waste, the surrounding rock at the immediate vicinity of the deposition hole may experience localized changes in permeability due to in-situ stress at depth, swelling pressure from resaturated bentonite buffer, and the heat generated from the decay of radioactive isotopes. In this study, experimental data on changes in permeability of granite, a promising candidate rock type in South Korea, were obtained by applying various confining pressures and temperature conditions expected in the actual disposal environment. By conducting the permeability test on KURT granite specimens under three or more hydrostatic pressure conditions, the relation in which the permeability decreases exponentially as the confining pressure increases was derived. The temperature-induced changes in permeability were found to be negligible at temperatures below the expected maximum of 90℃. In addition, by establishing a relation in which the initial permeability is proportional to the power of the initial porosity, it was possible to estimate permeability value for granite with a specific porosity under a certain confining pressure.

Estimation of the Permeability Variation in Saturated Sand Deposits Subjected to Shaking Load Using 1-g Stinking Table Test (1-g 진동대시험을 이용한 진동하중을 받는 포화된 모래지반의 투수계수 변화 추정)

  • 하익수;김명모
    • Journal of the Korean Geotechnical Society
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    • v.19 no.6
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    • pp.363-369
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    • 2003
  • The purpose of this study is to understand the dissipation pattern of excess pore pressure after liquefaction and to estimate the variation in permeability during shaking load, which should be known for settlement predictions of the ground undergoing liquefaction. In this study, 1-g shaking table tests were carried out for 5 different kinds of sands, all of which had high liquefaction potentials. During the tests excess pore pressure at various depths, and surface settlements were measured. The measured dissipation curve of the excess pore pressure after liquefaction was linearly simulated using the solidification theory, and from the analysis of the slopes of linearly simulated curves, the correlation between dissipation velocity and the gradation characteristics was obtained. By substituting this correlation and the measured settlement to the dissipation velocity equation recommended in solidification theory, the permeability during dissipation was calculated, which was used for estimating the permeability variation during shaking load. The dissipation velocity of excess pore pressure after liquefaction had a linear correlation with the effective grain size divided by the coefficient of uniformity. The permeability during dissipation and liquefaction increased by 1.1∼2.8 times and 1.4∼5 times compared to the initial permeability of the original ground, respectively. And the amount of increase became greater as the effective grain size of the test sand increased and the coefficient of uniformity decreased.