• Title/Summary/Keyword: 투수계수함수

Search Result 147, Processing Time 0.026 seconds

Prediction of rainfall-induced runoff considering infiltration of water in both unsaturated and saturated porous media (불포화 및 포화 투수층에서의 침투를 고려하여 강우 유출 해석)

  • Changhoon Lee;Minh Thang Tran
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2023.05a
    • /
    • pp.62-62
    • /
    • 2023
  • 강우가 지표면 아래로 침투할 때 초기에는 투수층이 불포화 상태이어서 부압이 작용하면서 침투할 것이다. Richards 식(Richards, 1931)을 써서 불포화 투수층의 침투를 모의할 수 있다. 강우가 지속되는 동안 하상 아래 어느 구간은 포화 상태가 되어 Richards 식을 더 이상 사용할 수 없다. 하지만 현재까지의 연구는 Richards 식을 사용하여 침투를 모의하는 오류를 범하고 있다. 강우에 의한 침투를 예측할 때 지표면에서의 침투율 qb 가 필요한 데 현존하는 연구에서는 Horton 식(Horton, 1941)을 사용하여 초기 침투율 fo 와 장시간 후 침투율 fc 와 시간에 따라 지수함수로 감소하는 계수 k 의 3가지 계수값을 실험이나 현장 관측값에서 찾아서 쓰고 있다. 그런데, 이 계수값은 강우강도 ri 가 클수록 침투율 q 가 커지는 물리 현상을 반영하지 못하는 한계가 있다. 본 연구에서 먼저 포화 투수층에서의 침투를 모의하는 식을 개발하였다. 지표면 아래에서 불포화 투수층에는 Richards식을 사용하고 포화 투수층에는 개발한 식을 사용하여 침투를 모의하였다. 또한 지표면에서의 침투율 qb 를 구하는 공식을 개발하였다. 하상에서의 침투율의 최대값은 $q_{bmax}=-{\lambda}{\sqrt{2g(s-b)}}$ 일 것이다. 여기서 λ 는 투수층의 공극율, s 는 유출수면의 위치, b 는 지표면의 위치이다. 지표면에서의 침투율의 최소값 qbmin 은 지표면 바로 아래 지점에서의 침투율일 것이다. 지표면에서의 침투율 qb 로 qbmax 와 qbmin 사이의 적절한 값을 선택한다. 강우강도를 ri 라고 하면 지표면 위 유출수의 연속방정식은 다음과 같다: $s-b={\int}(r_i-{\mid}q_b{\mid})dt$. 즉, 유출수면의 위치 s 는 강우강도 ri 가 클수록 또는 지표면에서의 유출율의 크기 |qb| 가 작을수록 크다. 또한 지표면에서의 침투율 qb 와 지표면 아래에서의 침투율 q 는 s - b 가 클수록 크다. 따라서, 강우강도 ri 가 클수록 침투율 qb, q 가 큰 현상이 잘 반영되었다. 강우-침투-유출 모형실험을 수행하여 강우강도에 따라 침투율과 유출량이 다른 현상을 관측하여 수치실험 결과와 비교·검증하였다.

  • PDF

Evaluation of Infiltration Characteristics of Rainfall in Gneiss Weathered Soil by a Field Monitoring (현장 강우계측을 통한 편마암 풍화토층의 침투특성 평가)

  • Kim, Man-Il;Chae, Byung-Gon;Han, Byung-Won
    • The Journal of Engineering Geology
    • /
    • v.18 no.4
    • /
    • pp.567-576
    • /
    • 2008
  • It is possible to understand rainfall infiltration characteristics by identification of wetting front in the soil. The wetting front by rainfall infiltration has close relationships among soil density, grain size distribution, and permeability coefficient in the soil. The infiltration velocity is a similar concept of permeability coefficient in the soil. In this study, infiltration velocity of rainfall was calculated by a field monitoring of volumetric water contents at the depths of 50 cm and 80 cm below the surface in the gneiss weathered soil. The calculated field infiltration velocity was compared with a permeability coefficient by a laboratory soil test using undisturbed soil samples in the study area. The permeability coefficient of the soil sample is $3.15{\times}10^{-3}cm/sec$, while the field infiltration velocity is $1.87{\times}10^{-3}cm/sec$. It is interpreted that the lower infiltration velocity is induced by complicate condition of porosity and grain size distribution of soil in the field. The rainfall intensity which influences on the volumetric water content and infiltration velocity is more than 20 mm/day resulting in expansion of wetting front in the soil.

Characteristics of Soil-Water Characteristic Curve and Unsaturated Permeability of Sludge Mixture (정수슬러지 혼합토의 함수특성곡선과 불포화 투수 특성)

  • Lim, Byung-Gwon;Kim, Yun-Tae
    • Journal of the Korean Geotechnical Society
    • /
    • v.29 no.2
    • /
    • pp.57-64
    • /
    • 2013
  • In this paper, in order to solve high water content of water sludge and promote its recycle, sludge mixtures with various mixing ratios were produced. Sludge mixture consisted of water sludge and weathered granite soil. Their physical properties and unsaturated characteristics (soil-water characteristic curve, and unsaturated permeability function) were investigated by laboratory tests. Experimental test results indicated that at a given matric suction volumetric water content of sludge mixture increased as water sludge content increased. Air entry values of sludge mixture increased from 0.9 kPa to 2.4 kPa with an increase in water sludge content or fine content. In addition, unsaturated permeability function, which is an important factor for performing infiltration analysis, was predicted using saturated permeability and soil-water characteristic curve of sludge mixture.

Proposal of Models to Estimate the Coefficient of Permeability of Soils on the Natural Terrain considering Geological Conditions (지질조건에 따른 자연사면 토층의 투수계수 산정모델 제안)

  • Jun, Duk-Chan;Song, Young-Suk;Han, Shin-In
    • The Journal of Engineering Geology
    • /
    • v.20 no.1
    • /
    • pp.35-45
    • /
    • 2010
  • The soil tests have been performed on the specimens obtained from about 1,150 sites including landslides and non-landslides areas in natural terrains for last 10 years. Based on the results of those tests, the average soil properties are estimated and the simple equations for estimating permeability are proposed according to geologic conditions. The average permeability in Granite and Mudstone sites is higher than other sites and the content of silt and clay in Mudstone and Gneiss sites is higher than other sites. The correlation analysis and the regression analysis were performed to estimate the coefficient of permeability according to geological conditions. As the result of the correlation analysis, the coefficient of permeability is selected as a dependent variable, and the silt and clay contents, the water contents and the dry unit weights are selected as independent variables. As the result of the regression analysis, the silt and clay contents and the void ratio were involved commonly in the linear regression equations according to geological conditions. To verify the proposed the linear regression equations, the measured result of the coefficient of permeability at other sites was compared with the result predicted with the proposed equations. As the result of comparison, there were a little bit different between them for some data. However the difference was relatively small. Therefore, the linear regression equations for estimating the coefficient of permeability according to geological conditions may be applied to Korean soils. However, these equations should be verified and corrected continuously to improve the accuracy.

Permeability Effect of Decomposed Granite Soil under the Influence of Crushability and Compaction Energy (화강풍화토(花崗風化土)의 파쇄(破碎) 및 다짐에너지가 투수성(透水性)에 미치는 영향(影響))

  • Lee, Hyoung Soo
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.3 no.3
    • /
    • pp.107-116
    • /
    • 1983
  • This paper is concerned with the permeability through a decomposed granite soil layer which is influnced by change of grain sizes and crushed soils made by varied compaction energy. The change in the content of crushed soils can be described in terms of the ratio of surface area ($S_w{^{\prime}}/S_w $). The experiments were carried out to obtain the relationships of the coefficient of permeability(K) versus the optimum moisture content($w_{opt}$) by the variable head permeability test with the samples that were preapared by compaction test. The results are found as follows; (1) By the change in compaction energy, the crush ratio increased whereas the void ratio decreased with a larger maximum dry density running in parallel with the zero air void curve. (2) The ratio of surface area was $0.33(P)^{0.96}$ in $S_w{^{\prime}}/S_w $ with no relation to the compaction energy. (3) The grain size which produced the largest crush of soil particles ranged from 0.5 to 1 millimetre (4) The relationship of K versus $e^3$/1+e appeared as a straight line on the full-log-scale paper under the optimum moisture state. (5) As the compaction energy was larger, the passing percentage of #200-sieve grains increased linearly. The increment in the surface area ratio was deemed to have been caused by the decreased in the permeability.

  • PDF

Relationships between evapotranspiration on land use and micrometeorological factors in the coastal urban area (해안도시 지역에서 토지이용도를 고려한 증발산량과 미기상인자의 관계)

  • Kim, Sang Jin;Kang, Dong Hwan;Yu, Hun Sun;Kang, Sang Min
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2015.05a
    • /
    • pp.186-186
    • /
    • 2015
  • 본 연구에서는 해안도시(부산광역시 수영구) 지역의 토지이용도와 미기상인자를 고려하여 증발산량을 산정하였으며, 증발산량 변동에 대한 미기상인자의 영향성을 구명하였다. 수영구 지역의 토지이용도와 미기상인자는 2001년 12월부터 2011년 11월에 관측된 일별 자료를 사용하였다. 토지이용도는 불투수(건물, 도로 등) 및 산림(임야), 초지(논밭, 공원 등), 수계(하천, 호수 등) 지역으로 분류하였으며, 4개 지역 특성을 고려한 최적의 추정식을 적용하여 증발산량을 산정하였다. 수영구 지역의 전체 증발산량은 4개 지역에서 산정된 증발산량에 토지이용 비율을 곱하여 구하였다. 연간 증발산량 변동은 1월부터 7월까지 증가하다가 8월부터 12월까지 감소하는 형태를 보였다. 수영구 지역에서 증발산량은 강수량의 약 13.3% 정도이었으며, 이는 연구지역의 72%에 해당하는 불투수 지역에서 배수로를 통한 물의 유출이 강우 발생 후 짧은 시간 동안 다량 발생하였기에 지속적인 증발산이 가능한 잠재수량의 저유량이 적었기 때문이다. 증발산량과 미기상인자 간의 상관분석을 수행하였으며, 증발산량과 이슬점 온도의 상관계수가 0.63으로 가장 높았다. 증발산량에 대한 기온 및 강수량, 순복사 인자의 상관계수는 0.5 이상으로 양의 상관성을, 기압 및 일조시간은 0.5 이상의 음의 상관성을 보였다. 증발산량에 대한 상관계수가 0.5 이상인 미기상인자(이슬점온도와 기온, 순복사, 기압, 강수량)에 대한 회귀 분석을 수행하였다. 이슬점온도와 기온, 순복사, 기압에 대한 증발산량 회귀함수 그래프는 강수의 유무에 따라 2가지 경향을 보였다. 이슬점온도에 따른 증발산량 회귀함수는 강수 발생 시에는 $ET=0.004x+0.7$, 무강수 시에는 $ET=0.25{\times}e^{0.04x}$로 추정되었으며, 결정계수는 각각 0.48과 0.96 정도로서 무강수 시에 높게 나타났다. 기온에 따른 증발산량 회귀함수는 강수 발생 시에는 $ET=0.004x+0.53$, 무강수 시에는 $ET=0.13{\times}e^{0.06x}$로 추정되었으며, 결정계수는 각각 0.39와 0.89 정도로서 무강수 시에 높게 나타났다. 순복사에 따른 증발산량 회귀함수는 강수 발생 시에는 $ET=0.79x+0.49$, 무강수 시에는 $ET=0.22x+0.03$로 추정되었으며, 결정계수는 각각 0.34와 0.89 정도로서 무강수 시에 높게 나타났다. 기압에 따른 증발산량 회귀함수는 강수 발생 시에는 $ET=-0.04x+37.91$, 무강수 시에는 $ET=5.18{\times}10^{22}{\times}e^{-0.05x}$로 추정되었으며, 결정계수는 각각 0.25와 0.45 정도로 나타났다. 강수량에 따른 증발산량 회귀함수는 $ET=0.23lnx+0.90$으로 추정되었으며, 결정계수 0.61정도 나타났다.

  • PDF

An Experimental Study on the Engineering Characteristics Analysis of Unsaturated Weathered Granite Soil (불포화된 화강풍화토에 대한 공학적 특성분석을 위한 실험적 연구)

  • Kim, Joon-Seok
    • Journal of the Society of Disaster Information
    • /
    • v.16 no.3
    • /
    • pp.577-585
    • /
    • 2020
  • Purpose: The presence of the matric suction in unsaturated soil increases the stability of the slope, but the reduction of the matric suction due to precipitation can cause sudden slope failure, resulting in a major disaster. In this paper, engineering characteristics in unsaturated state were analyzed for granite weathering soil, which is the representative mountain soil of Korea. Method: Experiments and analysis were conducted on granulated weathering soil as unsaturated shear strength relationships for moisture characteristic curves, unsaturated injection curves, and matric suction under unsaturated conditions. Result: It was analyzed that a rapid change in the matric suction for volumetric water content occurs compared to the case where the particle size distribution is poor and the particle size distribution is good. A good case for the particle size distribution indicates a relatively small permeability coefficient at the same matric suction capacity compared to a poor case. The greater thematric suction, the greater the shear strength. Conclusion: For Korea's representative soil, granulated weathering soil, the functional characteristic curves, unsaturated permeability coefficients, unsaturated shear strength, etc., which are engineering characteristics in unsaturated state, were tested to secure each correlation.

Evaluation of the Compaction Characteristics of CFRD Construction Materials (CFRD 시공시 축조재료의 다짐특성 평가)

  • Han, Sang-Hyun;Yea, Geu-Guwen;Park, Jong-Hwa
    • The Journal of Engineering Geology
    • /
    • v.20 no.4
    • /
    • pp.415-424
    • /
    • 2010
  • A prototype of a Concrete-Faced Rock-fill Dam (CFRD) was constructed to evaluate the behavior of the materials in each zone within the dam. The tested materials, selected based on their grain size distribution, were used in constructing the prototype dam with layers of variable thickness, settlement ratio, and water content. We investigated the suitability of various values of hydraulic conductivity, water content, dry unit weight, and settlement ratio for zones within the dam. The test results revealed the relationships between the number of passes and the dry unit weight, between the dry unit weight and the settlement ratio, and between the settlement ratio and the number of passes. This paper focuses on the relationship between hydraulic conductivity and the number of passes. The results of the present analysis could be used to establish reasonable compaction standards for materials used in dam construction.

Analysis of Runoff Sensitivity for Initial Soil Condition in Distributed Model (초기토양조건에 대한 분포형모형 유출민감도 분석)

  • Park, Jin Hyeog;Hur, Young Teck
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.28 no.4B
    • /
    • pp.375-381
    • /
    • 2008
  • In this research, a physics based grid-multi layer distributed flood runoff model was developed to analyze discharge for the Namgang Dam Watershed ($2,293km^2$) and applied for sensitivity analysis for estimation of parameters, mainly initial soil moisture condition and saturate infiltration coefficient, which have a strong influence on discharge. Capability of the model was evaluated using VER and QER from the results of rainfall-runoff analysis and showed enhanced results of 6% compared to parameters before calibration. As the result with the sensitivity analysis of parameters, the part of the most influence on the runoff was the infiltration coefficient and ratio of layer partition. The total discharge and peak time showed comparatively precise runoff results without the initial calibration of the parameters.

A Study on the Effects of the Coefficient of Uniformity and Porosity on the Soil-Water Characteristic Curves of Sandy Soils (사질토의 함수특성곡선에 대한 균등계수와 공극율의 영향에 관한 연구)

  • Yoo, Kunsun
    • Journal of the Korean GEO-environmental Society
    • /
    • v.14 no.5
    • /
    • pp.41-47
    • /
    • 2013
  • Well-graded and dense soils have good engineering properties. Unsaturated soil properties such as shear strength, compressibility and permeability are closely related to the soil-water characteristic curve of the soil. Therefore it is important to study the effects of the coefficient of uniformity and the porosity on the soil-water characteristic curve of the sandy soils, which are also related to the grain size distribution and the density of the soil, respectively. In this study soil-water characteristic curves (SWCCs) for six sandy soil specimens were investigated using Tempe pressure cells. The test data were best-fitted to Fredlund and Xing equation. The obtained fitting parameters and the characteristic points of SWCCs were discussed and correlated with the porosity and the coefficient of uniformity of the specimens. The results show that the smaller the porosity of the specimen becomes, the larger the value of the residual matric suction becomes, whereas the larger the coefficient of uniformity of the specimen becomes, the larger the value of the residual matric suction becomes. Regardless of the coefficient of uniformity, the smaller the porosity of the specimen, the flatter the max. slope of SWCC.