• Title/Summary/Keyword: variogram

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Development of Radar Rainfall Adjustment Methods Using Interpolation Techniques (Interpolation 기법을 이용한 Radar 강수량 보정기법 개발)

  • Kwon, Hyun-Han;Kim, Byung-Sik;Hong, Seung-Jin
    • Proceedings of the Korea Water Resources Association Conference
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    • 2009.05a
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    • pp.1370-1374
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    • 2009
  • 국지강수로 발생하는 홍수사상을 예측하기 위해서 국내외적으로 레이더 강수량을 활용하고자 하는 연구가 많이 진행되고 있다. 레이더 강수량을 이용하는 주된 목적은 레이더 강수량이 제공하는 강수량의 공간 분포를 최대한 활용하여 단기홍수를 효과적으로 예측하자는데 있다. 레이더 강수량이 강수의 시공간적 특성을 잘 묘사할 수 있는 반면에 강우량에 대한 신뢰성은 의문에 여지가 있다. 이를 위해 다양한 방법을 통해 강우량을 보정하고자 하는 연구가 진행되고 있으나 시공간적 정보를 손실시키지 않고 동시에 강우량의 편차를 보정하는 기술의 발전은 그다지 만족스럽지 않다. 일반적으로 사용되는 지상강수와 지상강수지점의 해당하는 레이더 강수량의 비율을 일괄적으로 모든 격자에 적용하는 GR 공식이 주로 이용되고 있다. 이런 경우 레이더 자료의 공간적 정보의 손실되는 단점이 있다. 이러한 점을 보완하기 위해서 조건부합성 방법이라는 기법을 이용하여 레이더강수의 공간적 특성을 그대로 유지하면서 지점강수량 수준의 분산을 회복하도록 모형을 구성하여 이용하고 있다. 조건부합성 방법에서는 일반적으로 크리깅 방법을 통해 레이더강수와 지점강수량을 공간 분포시켜 사용하게 되는데 이런 경우 Variogram을 추정하는 데 있어서 어려움이 있다. 본 연구에서는 이러한 점을 보완하고자 지점강수량 및 레이더강수량에 대해서 공간분포를 실시할 수 있는 Harmonic Spline기법, Nearest Neighbor기법 등 다양한 Interpolation 기법을 활용한 새로운 조건부합성 기법을 개발하였다. 이를 국내 레이더 강수자료에 적용하여 모형에 대한 신뢰성 및 적합성을 평가하였다.

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GEO-LINEAMENT CHARACTERIZATION USING WAVELET APPROACH: A CASE STUDY IN THE UISEUNG CALDERA REGION

  • Kim, Mi-Kyung;Yoo, Hee-Young;Lee, Ki-Won;Kwon, Byung-Doo
    • Proceedings of the KSRS Conference
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    • v.1
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    • pp.243-246
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    • 2006
  • Wavelet approach is regarded as a useful methodology for geo-environment analysis with respect to spatial objects with periodicity and spatial pattern, compared to autocorrelation analysis, Fourier analysis, variogram analysis and so on. However, there are a few case studies for geo-lineament characterization with the actual geo-based information such as remotely sensed imagery and DEM. In this study, wavelet approach in the Uiseung caldera region are carried out to delineate characterization for geolineament spatial pattern. There are high possibilities of the development of radial lineaments from the centre of round crater due to the eruption of a volcano and the subsidence of a crater. We have grasped the directionality of the whole linear structures of the caldera via rose diagram, and then performed wavelet analysis on the profiles of orthogonal directions for main directions of the lineaments. The result of this study is likely to be used as a fundamental data in order to grasp the outline of caldera structure prior to the close estimation

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IRF-k kriging of electrical resistivity data for estimating the extent of saltwater intrusion in a coastal aquifer system

  • Shim B. O.;Chung S. Y.;Kim H. J.;Sung I. H.
    • 한국지구물리탐사학회:학술대회논문집
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    • 2003.11a
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    • pp.352-361
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    • 2003
  • We have evaluated the extent of saltwater intrusion from electrical resistivity distribution in a coastal aquifer system in the southeastern part of Busan, Korea. This aquifer system is divided into four layers according to the hydrogeologic characteristics and the horizontal extent of intruded saltwater is determined at each layer through the geostatistical interpretation of electrical resistivity data. In order to define the statistical structure of electrical resistivity data, variogram analysis is carried out to obtain best generalized covariance models. IRF-k (intrinsic random function of order k) kriging is performed with covariance models to produce the plane of spatial mean resistivities. The kriged estimates are evaluated by cross validation to show a good agreement with the true values and the statistics of cross validation represented low errors for the estimates. In the resistivity contour maps more than 5 m below the surface, we can see a dominant direction of saltwater intrusion beginning from the east side. The area of saltwater intrusion increases with depth. The northeast side has low resistivities less than 5 ohm-m due to the presence of saline water in the depth range of 20 m through 70 m. These results show that the application of geostatistical technique to electrical resistivity data is useful for assessing saltwater intrusion in a coastal aquifer system.

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Fractal Scaling of Permeability in Unsaturated Fractured Tuff: Wavelet-Based Approach

  • Hyun, Yunjung
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2003.09a
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    • pp.140-143
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    • 2003
  • Air permeabilities in unsaturated fractured tuff at the Apache Leap Research Site (ALRS) near Superior, Arizona, exhibit a self-affine behavior, thus renders a field random fractal. Based up fractal scaling, the observed scale effect has been interpreted [Hyun et al., 2002]. Recently, Frantziskonis and Hansen [2000] presented that fractal scaling can be represented based on wavelets. This study deals with the way of using wavelets for fractal scaling. A numerical study is presented to examine the applicability of wavelet-based approach to determining upscaled air permeability values on various data supports at the site. To characterize the scaling property of self-affine fields generated based upon wavelets, Hurst coefficient, H. was inferred by applying the average wavelet coefficient (AWC) method. The result yielded H = 0.24, which is very close to the result of geostatistical analysis using a power variogram (H = 0.22). The study concludes that wavelet-based scaling is a useful way of determining parameter values on different data supports, which is an essential task for modeling of subsurface flow and mass transport in a numeric grid with different resolutions (grid size).

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Bayesian Inversion of Gravity and Resistivity Data: Detection of Lava Tunnel

  • Kwon, Byung-Doo;Oh, Seok-Hoon
    • Journal of the Korean earth science society
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    • v.23 no.1
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    • pp.15-29
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    • 2002
  • Bayesian inversion for gravity and resistivity data was performed to investigate the cavity structure appearing as a lava tunnel in Cheju Island, Korea. Dipole-dipole DC resistivity data were proposed for a prior information of gravity data and we applied the geostatistical techniques such as kriging and simulation algorithms to provide a prior model information and covariance matrix in data domain. The inverted resistivity section gave the indicator variogram modeling for each threshold and it provided spatial uncertainty to give a prior PDF by sequential indicator simulations. We also presented a more objective way to make data covariance matrix that reflects the state of the achieved field data by geostatistical technique, cross-validation. Then Gaussian approximation was adopted for the inference of characteristics of the marginal distributions of model parameters and Broyden update for simple calculation of sensitivity matrix and SVD was applied. Generally cavity investigation by geophysical exploration is difficult and success is hard to be achieved. However, this exotic multiple interpretations showed remarkable improvement and stability for interpretation when compared to data-fit alone results, and suggested the possibility of diverse application for Bayesian inversion in geophysical inverse problem.

The Influence of Distribution Characteristics of Compression Index on the Spatial Distribution of Consolidation Settlements (압축지수분포 특성이 압밀침하량 분포에 미치는 영향)

  • Kim, Dong-Hee;Kim, Min-Tae;Kim, Kyu-Sun;Lee, Woo-Jin
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.09b
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    • pp.76-80
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    • 2010
  • This paper describes that estimation methods for the distribution of consolidation settlements to investigate the influence of distribution characteristics of compression index on the spatial distribution of consolidation settlements. When the variation of compression index is considerable, the spatial distribution of compression index is estimated using ordinary cokriging. The spatial distribution of consolidation settlements estimated by considering both the variation of compression index and void ratio (CASE-1) is different from the conventional mean value of all soil properties (CASE-2). The settlement of CASE-1 shows the larger variation at short distances rather than that of CASE-2. Whereas the spatial settlement distribution of CASE-1 is affected by the spatial distribution of compression index and the thickness of consolidation layer, the distribution of CASE-2 is significantly influenced by the distribution of the thickness of consolidation layer.

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A Study for the Best Estimation of Geotechnical Parameters on the Slope Analysis (사면해석에 있어서 지반변수의 최적추정에 관한 연구)

  • Kim, Du-Jun;Jeong, Dae-Suk;Baek, Yeong-Sik
    • Proceedings of the Korean Geotechical Society Conference
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    • 1993.06b
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    • pp.19-44
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    • 1993
  • The purpose of this paper is to study the design and the construction for the most economic and safe slope stability analysis. The approach to the purpose Iies in analyzing the characteristic on direction and distance by the sample value for the geotechnical parameters using the semi-variogram concept. Based on the result, we derive the Kriging system equation from the stochastical concept and solve the equation to find the weighting factor which is applied both the point estimation and the block estimation in the particular position. Comparing and analyzing the various methods. we find the best reliability, which is more accurate than any other.

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Integrated Analysis of Gravity and MT data by Geostatistical Approach (지구통계학적 방법을 이용한 포텐셜 자료와 MT 자료의 복합 해석 연구)

  • Park, Gye-Soon;Oh, Seok-Hoon;Lee, Heui-Soon;Kwon, Byung-Doo;Yang, Jun-Mo
    • 한국지구물리탐사학회:학술대회논문집
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    • 2007.06a
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    • pp.42-47
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    • 2007
  • We have studied feasibility of the geostatistical approach to enhance the result of analysis of the sparsely obtained MT(Magnetotelluric) data by combining with gravity data. We have attempted to use geostatistics for integrating the MT data along with gravity data. To evaluate the feasibility of this approach, we have studied about interrelation between geological boundary and density distribution, and corrected density distribution for conversion to more sensitive to geological boundary by minimization of difference between z-directional variogram values of resistivity distribution obtained MT inversion and density distributions. Then, this method has been tested on model and field data. In model test, the results obtained were good agreement with real model. And in a real field data, the result of analysis demonstrate convincingly that our geostatistical approach is effective.

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A Study on Spatial Prediction of Water Quality Constituents Using Spatial Model (공간모형을 이용한 수질오염물질의 공간적 예측 및 평가에 대한 연구)

  • Kang, Taegu;Lee, Hyuk;Kang, Ilseok;Heo, Tae-Young
    • Journal of Korean Society on Water Environment
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    • v.30 no.4
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    • pp.409-417
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    • 2014
  • Spatial prediction methods have been useful to determine the variability of water quality in space and time due to difficulties in collecting spatial data across extensive spaces such as watershed. This study compares two kriging methods in predicting BOD concentration on the unmonitored sites in the Geum River Watershed and to assess its predictive performance by leave-one-out cross validation. This study has shown that cokriging method can make better predictions of BOD concentration than ordinary kriging method across the Geum River Watershed. Challenges for the application of cokriging on the spatial prediction of surface water quality involve the comparison of network-distance-based relationship and euclidean-distance-based relationship for the improvement in the predictive performance.

A Study on the Improvement in Local Gauge Correction Method (국지 우량계 보정 방법의 개선에 관한 연구)

  • Kim, Kwang-Ho;Kim, Min-Seong;Seo, Seong-Woon;Kim, Park-Sa;Kang, Dong-Hwan;Kwon, Byung-Hyuk
    • Journal of Environmental Science International
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    • v.24 no.4
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    • pp.525-540
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    • 2015
  • Spatial distribution of precipitation has been estimated based on the local gauge correction (LGC) with a fixed inverse distance weighting (IDW), which is not optimized in taking effective radius into account depending on the radar error. We developed an algorithm, improved local gauge correction (ILGC) which eliminates outlier in radar rainrate errors and optimize distance power for IDW. ILGC was statistically examined the hourly cumulated precipitation from weather for the heavy rain events. Adjusted radar rainfall from ILGC is improved to 50% compared with unadjusted radar rainfall. The accuracy of ILGC is higher to 7% than that of LGC, which resulted from a positive effect of the optimal algorithm on the adjustment of quantitative precipitation estimation from weather radar.