• Title/Summary/Keyword: 대수적 정규분포

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Numerical Modeling Study for Groundwater Flow at Chun-Mi Creek, JeJu Island (제주도 천미천 유역의 지하수위 변동 수치모의)

  • Choi, Jung-Hyun;Park, Hwa-Jun;Kim, Won-Il;Ho, Jung-Seok;Ahn, Won-Sik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.702-706
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    • 2007
  • 본 연구에서는 실측 강수 자료를 적용하여 장기 지하수위의 변동을 수치모의하고, 그 결과를 관측정으로부터 측정된 실측 지하수위와 비교하였다. 모형의 구축은 제주도 한라산 중산간으로부터 해안까지 이르는 유역 면적 $310km^2$의 천미천 유역을 대상으로 하였으며, 2001년 11월 부터 2002년 10월까지 12개월간의 강우에 따른 지하수위의 변동을 평형상태로 해석하였다. 미국 지질조사국 (USGS) 에서 개발한 3차원 유한차분 해석 프로그램인 MODFLOW 모형을 선정하여 적용한 결과를 유역 내의 12개 관측정 측정수위와 비교하였으며, 대상지역에서 14.7m의 평균 오차와 21% 정규 실효치를 나타내었다. 향후 모형 구축 및 모의 결과의 신뢰도를 향상시키기 위해 격자수와 크기의 조절 및 공간적 분포에 따른 대수층의 투수계수와 저류계수의 민감도 분석을 수행하여야 할 것으로 판단되며, 계속 연구 수행 중에 있다.

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Design of Accelerated Life Test Plans for the Lognormal Failure Distribution under Intermittent Inspection (대수정규분포와 간헐적 검사하에서 가속수명시험방식의 설계)

  • Seo, Sun-Keun;Cho, Ho-Sung
    • Journal of Korean Society for Quality Management
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    • v.24 no.2
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    • pp.25-43
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    • 1996
  • This paper presents the optimal and practical constant-stress accelerated life test plans for the lognormal lifetime distribution tinder assumptions of intermittent inspection and Type-I censoring. In an optimal plan, the low stress level and the proportions of test units allocated at each stress are determined under given inspection scheme and number of inspections such that the asymptotic variance of the maximum likelihood estimator of a certain quantile at use condition is minimized. Although the practical plan adopts the same design criterion, it involves three rather than two overstress levels in order to compromise the practical deficiencies of the optimal plan. Computational experiments are conducted to choose an allocation plan and a inspection scheme of the practical plan and to compare with test plans over a range of parameter values.

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A Study on Prediction Model for Laundry and Toilet Water-use demand (세탁기 및 화장실 용수 수요량에 대한 예측모형 연구)

  • Myoung, Sung-Min
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.12 no.4
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    • pp.327-335
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    • 2019
  • This study develops a prediction model for toilet and laundry water end-uses based on surveyed data which measured housing and household characteristics of 140 households over 5 years in Korea. Classical regression model assuming a normal distribution was not appropriate and estimated parameters were biased, because the distribution of measured water-uses was left-skewed. As an alternative to this problem, we considered the distribution of weibull and lognormal for each water-uses, and three regression models were compared using log-likelihood and scale parameter. As a result, weibull regression were chosen to be appropriate for both water-uses and also presented the factors that affect each water-use. This results expect that an insight is provided on water resources utilization and theoretical support role for effective water resource management.

Development of Curve Fitted Equations for Dynamic Behavior of Various Buried Pipelines (각종 매설관의 동적거동에 대한 곡선적합식의 개발)

  • Kim, Sung-Ban;Jeong, Jin-Ho;Joeng, Du-Hwoe;Lee, Kwang-Yeol
    • Journal of the Earthquake Engineering Society of Korea
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    • v.10 no.4 s.50
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    • pp.25-33
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    • 2006
  • The purpose of this study is to develop the curve fitted equations for practicality and actual calculation during seismic performance evaluation of buried pipelines. Curve fitting for strain curve according to the wavelength of the seismic wave was produced using the non-linear least square method and the equations with the best results was suggested. In addition, a degree and coefficient of polynomial fitting equation needed to use curve fitted equation were identified. Interpreting process during the test of resistance of earthquake of buried pipelines with various end boundary conditions were provided through example questions. The results of this study were used to conduct a dynamic response analysis and a seismic performance evaluation of concrete, steel, and FRP pipes with various end boundary conditions.

Numerical Simulajtions of Non-ergodic Solute Transport in Strongly Heterogeneous Aquiferss (불균질도가 높은 대수층내에서의 비에르고딕 용질이동에 관한 수치 시뮬레이션)

  • Seo Byong-Min
    • The Journal of Engineering Geology
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    • v.15 no.3
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    • pp.245-255
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    • 2005
  • Three dimensional Monte-Carlo simulations of non-ergodic transport of a non-reactive solute plume by steady-state groundwater flow under a uniform mean velocity in isotropic heterogeneous aquifers were conducted. The log-normally distributed hydraulic conductivity, K(x), is modeled as a random field. Significant efforts are made to reduce the simulation uncertainties. Ensemble averages of the second spatial moments of the plume, $$lt;S_{ij}'(t',l')$gt;$ and plume centroid variances, $$lt;R_{ij}'(t',l')$gt;$ were simulated with 3200 Monte Carlo runs for three variances of log K, $\omega^2_y1.0,,2.5,$ and 5.0, and three dimensionless lengths of line plume sources ( l=,5 and 10) normal to the mean velocity. The simulated second spatial moment and the plume centroid variance in longitudinal direction fit well to the first order theoretical results while the simulated transverse moments are not fit well with the first order results. The first order theoretical results definitely underestimated the simulated transverse second spatial moments for the aquifers of large u: and small initial plume sources. The ergodic condition for the second spatial moments is far from reaching, and the first order theoretical results of the transverse second spatial moment of the ergodic plume slightly underestimated the simulated moments.

Statistical Characteristics of Deepwater Waves along the Korean Coast (한국 연안 심해파의 통계적 특성)

  • Suh, Kyung-Duck;Kwon, Hyuk-Dong;Lee, Dong-Young
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.20 no.4
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    • pp.342-354
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    • 2008
  • Some statistical characteristics of deepwater waves along the Korean coast have been investigated using various sources of wave measurement and hindcasting data. For very large waves comparable to design waves, it is recommended to use the average value of the empirical formulas proposed by Shore Protection Manual in 1977 and by Goda in 2003 for the relation between significant wave height and period. The standard deviation of significant wave periods non-dimensionalized with respect to the mean value for a certain significant wave height varies between 0.04 and 0.21 with a typical value of 0.1 depending upon different regions and different ranges of significant wave heights. The mean and standard deviation of the principal deepwater wave direction are presented at the 106 coastal grid points along the Korean coast. For relatively large waves, the probability density function of the directional spreading parameter $s_{max}$ is expressed as a lognormal distribution. The most suitable frequency spectrum in the Korean coast is the TMA spectrum. The probability density function of the peak enhancement factor $\gamma$ is also expressed as a lognormal distribution, with its mean value of 2.94, which is close to the value in the North Sea.

Joint Characteristics in Sedimentary Rocks of Gyeongsang Supergroup (경상누층군 퇴적암의 절리 특성 연구)

  • Chang, Tae-Woo;Son, Byeong-Kook
    • The Journal of Engineering Geology
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    • v.19 no.3
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    • pp.351-363
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    • 2009
  • Two orthogonal joint sets develop well only in sandstone beds in the sandstone-mudstone sequences of Gumi and Dasa outcrops within Cretaceous Gyeongsang Basin. And various joint data are similar in the beds of the same thickness in both outcrops, meaning that the joint sets were homogeneously produced by extensional deformation in the same regional stress field. Most of joints in the sandstone beds are orthogonal to, and confined by bed boundaries, which are believed to be formed by hydrofracturing during consolidation after burial. Two orthogonal joint sets are considered to be almost coeval on the basis of mutual abutting relationship which makes up fracture grid-lock and a product of rapid switching of ${\sigma}_2$ and ${\sigma}_3$ axes with constant ${\sigma}_1$ direction oriented to vertical. The joint sets in the sandstone beds show planar surfaces, parallel orientations and regular spacing, with joint spacing linearly proportional to bed thickness. The spacing distributions of the joints seem to correspond to log-normal to almost normal distribution in most of the beds. But multilayer joints do not display regular spacing and dominant size. Either joint set in this study is characterized by a high level of joint density and a saturated spacing distribution as indicated by the mode/mean ratio values and the Cv(coefficient of variance) values. Joint aperture tends to increase with the vertical length of the joints controlled by bed thickness.

Reliability Analysis for Fatigue Damage of Steel Bridge Details (강교 부재의 피로손상에 대한 신뢰성 해석)

  • Park, Yeon Soo;Han, Suk Yeol;Suh, Byoung Chal
    • Journal of Korean Society of Steel Construction
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    • v.15 no.5 s.66
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    • pp.475-487
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    • 2003
  • This study developed an analysis model of estimating fatigue damage using the linear elastic fracture mechanics method. Stress history occurring to an element when a truck passed over a bridge was defined as block loading and crack closure theory explaining load interaction effect was applied. Stress range frequency analysis considering dead load stress and crack opening was done. Probability of stress range frequency distribution was applied and the probability distribution parameters were estimated. The Monte Carlo simulation of generating the probability various of distribution was performed. The probability distribution of failure block numbers was obtained. With this the fatigue reliability of an element not occurring in failure could be calculated. The failure block number divided by average daily truck traffic remains the life of a day. Fatigue reliability analysis model was carried out for the welding member of cross beam flange and vertical stiffener of steel box bridge using the proposed model. Consequently, a 3.8% difference was observed between the remaining life in the peak analysis method and in the proposed analysis model. The proposed analysis model considered crack closure phase and crack retard.

Stochastic Simulation of Groundwater Flow in Heterogeneous Formations: a Virtual Setting via Realizations of Random Field (불균질지층내 지하수 유동의 확률론적 분석 : 무작위성 분포 재생을 통한 가상적 수리시험)

  • Lee, Kang-Kun
    • Journal of the Korean Society of Groundwater Environment
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    • v.1 no.2
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    • pp.90-99
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    • 1994
  • Heterogeneous hydraulic conductivity in a flow domain is generated under the assumption that it is a random variable with a lognormal, spatially-correlated distribution. The hydraulic head and the conductivity in a groundwater flow system are represented as a stochastic process. The method of Monte Carlo Simulation (MCS) and the finite element method (FEM) are used to determine the statistics of the head and the logconductivity. The second moments of the head and the logconductivity indicate that the cross-covariance of the logconductivity with the head has characteristic distribution patterns depending on the properties of sources, boundary conditions, head gradients, and correlation scales. The negative cross-correlation outlines a weak-response zone where the flow system is weakly responding to a stress change in the flow domain. The stochastic approach has a potential to quantitatively delineate the zone of influence through computations of the cross-covariance distribution.

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The Determination of Probability Distributions of Annual, Seasonal and Monthly Precipitation in Korea (우리나라의 연 강수량, 계절 강수량 및 월 강수량의 확률분포형 결정)

  • Kim, Dong-Yeob;Lee, Sang-Ho;Hong, Young-Joo;Lee, Eun-Jai;Im, Sang-Jun
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.12 no.2
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    • pp.83-94
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    • 2010
  • The objective of this study was to determine the best probability distributions of annual, seasonal and monthly precipitation in Korea. Data observed at 32 stations in Korea were analyzed using the L-moment ratio diagram and the average weighted distance (AWD) to identify the best probability distributions of each precipitation. The probability distribution was best represented by 3-parameter Weibull distribution (W3) for the annual precipitation, 3-parameter lognormal distribution (LN3) for spring and autumn seasons, and generalized extreme value distribution (GEV) for summer and winter seasons. The best probability distribution models for monthly precipitation were LN3 for January, W3 for February and July, 2-parameter Weibull distribution (W2) for March, generalized Pareto distribution (GPA) for April, September, October and November, GEV for May and June, and log-Pearson type III (LP3) for August and December. However, from the goodness-of-fit test for the best probability distributions of the best fit, GPA for April, September, October and November, and LN3 for January showed considerably high reject rates due to computational errors in estimation of the probability distribution parameters and relatively higher AWD values. Meanwhile, analyses using data from 55 stations including additional 23 stations indicated insignificant differences to those using original data. Further studies using more long-term data are needed to identify more optimal probability distributions for each precipitation.