• Title/Summary/Keyword: Lognormal Distribution

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Radon Concentration in Groundwater of Korea (전국 규모로 본 국내 지하수의 라돈 함량)

  • Cho, Byong-Wook
    • The Journal of Engineering Geology
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    • v.28 no.4
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    • pp.661-672
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    • 2018
  • Radon concentration was measured in a total of 5,453 groundwater samples from wells across Korea. The radon concentrations showed the values ranging from 0.1 Bq/L to 7,218.7 Bq/L, with a median of 48.8 Bq/L which is lower than those of other countries having similar geological conditions. The distribution of radon concentrations was lognormal. The median value is high in the granite areas (63.5-105.1 Bq/L) while it is low in the sedimentary rocks and Cheju volcanic area (16.0-20.3 Bq/L). When grouping the groundwater with well depth, the median radon value is high in weathering and/or upper bedrock zone (61.4 Bq/L) while it is low in alluvium and/or weathering zone (28.5 Bq/L). About 17.7% of the total samples exceeded 148 Bq/L of USEPA guideline value. The exceeding radon ratio more than 148 Bq/L in groundwater is highest in Jurassic granite area, however, the exceeding radon rates more than 300 Bq/L and 500 Bq/L are highest in CGRA area.

Evaluation of seismic fragility models for cut-and-cover railway tunnels (개착식 철도 터널 구조물의 기존 지진취약도 모델 적합성 평가)

  • Yang, Seunghoon;Kwak, Dongyoup
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.24 no.1
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    • pp.1-13
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    • 2022
  • A weighted linear combination of seismic fragility models previously developed for cut-and-cover railway tunnels was presented and the appropriateness of the combined model was evaluated. The seismic fragility function is expressed in the form of a cumulative probability function of the lognormal distribution based on the peak ground acceleration. The model uncertainty can be reduced by combining models independently developed. Equal weight is applied to four models. The new seismic fragility function was developed for each damage level by determining the median and standard deviation, which are model metrics. Comparing fragility curves developed for other bored tunnels, cut-and-cover tunnels for high-speed railway system have a similar level of fragility. We postulated that this is due to the high seismic design standard for high-speed railway tunnel.

A Reliability Analysis of Shallow Foundations using a Single-Mode Performance Function (단일형 거동함수에 의한 얕은 기초의 신뢰도 해석 -임해퇴적층의 토성자료를 중심으로-)

  • 김용필;임병조
    • Geotechnical Engineering
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    • v.2 no.1
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    • pp.27-44
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    • 1986
  • The measured soil data are analyzed to the descriptive statistics and classified into the four models of uncorrelated-normal (UNNO), uncorrelated-nonnormal (VNNN), correlatedonnormal(CONN), and correlated-nonnormal(CONN) . This paper presents the comparisons of reliability index and check points using the advanced first-order second-moment method with respect to the four models as well as BASIC Program. A sin91e-mode Performance function is consisted of the basic design variables of bearing capacity and settlements on shallow foundations and input the above analyzed soil informations. The main conclusions obtained in this study are summarized as follows: 1. In the bearing capacity mode, cohesion and bearing-capacity factors by C-U test are accepted for normal and lognormal distribution, respectively, and negatively low correlated to each other. Since the reliability index of the CONN model is the lowest one of the four model, which could be recommended a reliability.based design, whereas the other model might overestimate the geotechnical conditions. 2. In the case of settlements mode, the virgin compression ratio and preccnsolidation pressure are fitted for normal and lognormal distribution, respectively. Constraining settlements to the lower ones computed by deterministic method, The CONN model is the lowest reliability of the four models.

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Recommendation and current status in exposure assessment using monitoring data in ship building industry - focused on the similar exposure group(SEG) (조선업의 작업환경측정결과를 이용한 노출평가의 문제점과 해결방향 - 유사노출군을 중심으로 -)

  • Roh, Youngman;Yim, Hyeon Woo;Kim, Suk Il;Park, Hyo Man;Jung, Jae Yeol;Park, Sook Kyung;Kim, Hyun-Wook;Chung, Chee Kyung;Lee, Won Chul;Kim, Jung Man;Kim, Soo Keun;Koh, Sang Baek;Karl, Sieber;Kim, Euna;Choi, Jung Keun
    • Journal of Korean Society of Occupational and Environmental Hygiene
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    • v.11 no.2
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    • pp.126-134
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    • 2001
  • Statistical approaches for analysis of data from the limited number of samples in ship building industry(SBI) collected by an industrial hygienist for checking compliance to an occupational standard were considered. Sampling for compliance usually has been guided by judgment selection, rather than true randomness, resulting in the creation of compliance samples which approximate a censored sample from the upper tail of the exposure distribution. Similar exposure groups(SEGs) including welding and painting process were established to assess representative values in each groups after reviewing the whole production line in SBI. For the convenient statistical approaches, the code has assigned to each SEGs. The descriptive statistics and probability plotting were used to yield the representative values in each SEGs. In the first step, SEGs of 558 were established from 5 ship building companies. The 38 SEGs showed the uncertainty are divided into each 5 companies and assessed the representative values again. The 44 SEGs in each companies was not showed the normal and lognormal distribution was analyzed each data. And also, recommendation was suggested to resolve the uncertainty in each groups.

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Variation of Soil Characteristics in Mountain-foot Slope (산록경사지(山麓傾斜地)에 분포(分布)한 토양특성(土壤特性)의 변이분석(變異分析))

  • Park, Chang-Seo;Um, Ki-Tae;Jung, Seogn-Jae;Choi, Seon-Sik;Park, Byeong-Sik
    • Korean Journal of Soil Science and Fertilizer
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    • v.18 no.3
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    • pp.254-259
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    • 1985
  • Variability of soil characteristics and purity were statistically summarized within mapping units and estimates were given for sample sizes required to reach predetermined levels of accuracy in mountain-foot slope soils. Total variances within mapped soil series (expressed as CV): 12-44% for pH, CEC, and particle size distribution was relatively unaffected and 56-196% for OM, ext.-cations, and available $P_2O_5$, affected by management. Means of some chemical properties were estimated on the assumption of lognormal distribution. These soils were correctly classified with regard to order at 52.2%, to great group 53.7%, and to series 39.7%. respectively. Approximate sample sizes required to detect the difference of 10 and 20% of the true mean with 0.95 confidence level were presented.

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A Case Study on Stochastic Fracture Network Modeling for Rock Slopes of Busan-Ulsan Highway(Reach 5) (부산-울산 고속국도(5공구)에 위치한 암반사면의 추계론적 절리연결구조 모사에 대한 사례연구)

  • Heo, In-Sill;Um, Jeong-Gi;Kim, Yang-Phil;Kim, Kook-Han;Lee, Young-Kyun
    • The Journal of Engineering Geology
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    • v.16 no.4 s.50
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    • pp.337-349
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    • 2006
  • Seven hundred and fifty one fractures of the rhyolitic tuffaceous rock masses were mapped using 6 scanlines placed on rock slope exposures that were within 8.02 km of Busan-Ulsan highway. These data were analyzed to find the number of fracture sets that exist in the rock slopes and the probability distributions of orientation, spacing, trace length and fracture size in 3-D for each of the fracture sets. All the fracture set orientation distributions exhibit high variability. The Fisher distributions were found to be unsuitable to represent the statistical distribution of orientation for most of the fracture sets. The probability distributions, gamma, exponential and lognormal were found to be highly suitable to represent the distribution of spacing and semi-trace length of fracture sets. In obtain-ing these distributions, corrections were applied for sampling biases associated with spacing and trace length. The generated fracture system in 3-D was used to make predictions of fracture traces for each fracture set on 2-D win-dows. Developed stochastic 3-D fracture network for the rock mass was validated by comparing statistical proper-ties of the observed fracture traces on scanlines with the predicted fracture traces on the scanlines. This exercise fumed out to be successful.

Uranium Levels in Groundwater of CGS (Community Groundwater System) of Korea (국내 마을상수도 지하수의 우라늄 함량)

  • Cho, Byong-Wook;Kim, Moon-Su;Kim, Dong-Su;Hwang, Jae-Hong
    • Economic and Environmental Geology
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    • v.51 no.6
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    • pp.543-551
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    • 2018
  • The uranium concentrations were determined in groundwater collected from 3,820 community groundwater system (CGS) located in remote rural areas where access to the nationwide water work is not easy. The frequency distribution of uranium concentrations shows a lognormal distribution which is common in most radionuclide surveys. The measured maximum uranium concentration was $1,757.0{\mu}g/L$ with an average of $6.46{\mu}g/L$ and a median of $0.76{\mu}g/L$. When grouping the uranium concentration results of CGS into 10 geological units, the median uranium concentration was high ($0.99-2.05{\mu}g/L$) in three granite areas, and low in sedimentary rocks areas and porous volcanic rocks areas ($0.04-0.50{\mu}g/L$). Of the 3,820 samples, 3.8% are above the guideline value of $30{\mu}g/L$ (WHO, 2011). On the other hand, the exceeding rates of JGRA and PGRA CGS are 8.5% and 7.5%, respectively. Therefore, attention should be paid for the development of new CGS along with the management of the existing CGS in JGRA and PGRA areas.

Spatial Variation Analysis of Soil Characteristics and Crop Growth accross the Land-partitioned Boundary I. Spatial Variation of Soil Physical Properties (구획경계선(區劃境界線)의 횡단면(橫斷面)에 따른 토양특성(土壤特性)과 작물생육(作物生育)에 관한 공간변이성(空間變異性) 분석(分析) 연구(硏究) I. 토양물리성(土壤物理性)의 공간변이성(空間變異性))

  • Park, Moo-Eon;Yoo, Sun-Ho
    • Korean Journal of Soil Science and Fertilizer
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    • v.22 no.3
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    • pp.163-172
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    • 1989
  • In order to study spatial variability of soil physical properties accross the land-partitioned boundary on Hwadong silt clay loam soil (Fine clayey, mixed, mesic family of Aquic Hapludalfs), all measured data were analyzed by means of kriging, fractile diagram, smooth frequency distribution, and autocorrelation. Sampling for soil particle size distribution analysis was made at 225 intersections of $15{\times}15$ grid with 10m interval. Field capacity, bulk density and saturated hydraulic conductivity were measured in situ at 594 intersections of $33{\times}18$ grid with 2.5m interval in only $6,000m^2$ reselected from $22,500m^2$ of sampling area for particle size distribution analysis. Sampled or measured soil depths were 0 to 10cm 25 to 35cm and 50 to 60cm at each intersections. The results are summarized as follows: 1. The coefficient of variance (CV) of various physical properties ranges from 4.8 to 128.8%. Saturated hydraulic conductivity is classified into the high variation group with CV greater than 100%, while the low variation group with CV smaller than 10% consists of bulk density. Other properties belong to the medium variation group with CV between 10 and 100%. 2. The appropriate number of soil samples for the determination of various physical properties with error smaller than 10% are calculated as one for bulk density, six for field moisture capacity, 16 for silt, 19 for clay, 69 for sand and 686 for saturated hydraulic conductivity. 3. Smooth frequency distribution and fractile diagram show that saturated hydraulic conductivity is in lognormal distribution while other physical properties are in normal distribution. 4. Serial correlation analysis reveals that the soil physical properties have spatial dependence between two nearest neighbouring grid points. Autocorrelation analysis of physical properties measured between the serial grid points in the direction of south to north following section boundary shows that the zone of influence showing stationarity ranges from 7.5 to 40m. In the direction of east to west across section boundary, the autocorrelogram of many physical properties shows peaks with the periodic interval of 30m, which are similar to the partitioned land width. This reveals that the land-partitioned boundary causes soil variability.

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Fracture Network Analysis of Groundwater Folw in the Vicinity of a Large Cavern (분리열극개념을 이용한 지하공동주변의 지하수유동해석)

  • 강병무
    • The Journal of Engineering Geology
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    • v.3 no.2
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    • pp.125-148
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    • 1993
  • Groundwater flow in fractured rock masses is controlled by combined effects of fracture networks, state of geostafic stresses and crossflow between fractures and rock matrix. Furthermore the scaie dependent, anisotropic properties of hydraulic parameters results mainly from irregular paftems of fracture system, which can not be evaluated properly with the methods available at present. The basic assumpfion of discrete fracture network model is that groundwater flows only along discrete fractures and the flow paths in rock mass are determined by geometric paftems of interconnected fractures. The characteristics of fracture distribution in space and fracture hydraulic parameters are represented as the probability density functions by stochastic simulation. The discrete fracture network modelling was aftempted to characterize the groundwater flow in the vicinity of existing large cavems located in Wonjeong-ri, Poseung-myon, Pyeungtaek-kun. The fracture data of $1\textrm{km}^2$ area were analysed. The result indicates that the fracture sets evaluated from an equal area projection can be grouped into 6 sets and the fracture sizes are distributed in longnormal. The conductive fracture density of set 1 shows the highest density of 0.37. The groundwater inflow into a carvem was calculated as 29ton/day with the fracture transmissivity of $10^{-8}\textrm{m}^2/s$. When the fracture transmissivity increases in an order, the inflow amount estimated increases dramatically as much as fold, i.e 651 ton/day. One of the great advantages of this model is a forward modelling which can provide a thinking tool for site characterization and allow to handle the quantitative data as well as qualitative data.

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A probabilistic fragility evaluation method of a RC box tunnel subjected to earthquake loadings (지진하중을 받는 RC 박스터널의 확률론적 취약도 평가기법)

  • Huh, Jungwon;Le, Thai Son;Kang, Choonghyun;Kwak, Kiseok;Park, Inn-Joon
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.19 no.2
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    • pp.143-159
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    • 2017
  • A probabilistic fragility assessment procedure is developed in this paper to predict risks of damage arising from seismic loading to the two-cell RC box tunnel. Especially, the paper focuses on establishing a simplified methodology to derive fragility curves which are an indispensable ingredient of seismic fragility assessment. In consideration of soil-structure interaction (SSI) effect, the ground response acceleration method for buried structure (GRAMBS) is used in the proposed approach to estimate the dynamic response behavior of the structures. In addition, the damage states of tunnels are identified by conducting the pushover analyses and Latin Hypercube sampling (LHS) technique is employed to consider the uncertainties associated with design variables. To illustrate the concepts described, a numerical analysis is conducted and fragility curves are developed for a large set of artificially generated ground motions satisfying a design spectrum. The seismic fragility curves are represented by two-parameter lognormal distribution function and its two parameters, namely the median and log-standard deviation, are estimated using the maximum likelihood estimates (MLE) method.