• 제목/요약/키워드: Geostatistical

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Geostatistical algorithm for evaluation of primary and secondary roughness

  • Nasab, Hojat;Karimi-Nasab, Saeed;Jalalifar, Hossein
    • Geomechanics and Engineering
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    • 제24권4호
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    • pp.359-370
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    • 2021
  • Joint roughness is combination of primary and secondary roughness. Ordinarily primary roughness is a geostatistical part of a joint surface that has a periodic nature but secondary roughness or unevenness is a statistical part of that which have a random nature. Using roughness generating algorithms is a useful method for evaluation of joint roughness. In this paper after determining geostatistical parameters of the joint profile, were presented two roughness generating algorithms using Mount-Carlo method for evaluation of primary (GJRGAP) and secondary (GJRGAS) roughness. These based on geostatistical parameters (range and sill) and statistical parameters (standard deviation of asperities height, SDH, and standard deviation of asperities angle, SDA) for generation two-dimensional joint roughness profiles. In this study different geostatistical regions were defined depending on the range and SDH. As SDH increases, the height of the generated asperities increases and asperities become sharper and at a specific range (a specific curve) relation between SDH and SDA is linear. As the range in GJRGAP becomes larger (the base of the asperities) the shape of asperities becomes flatter. The results illustrate that joint profiles have larger SDA with increase of SDH and decrease of range. Consequencely increase of SDA leads to joint roughness parameters such Z2, Z3 and RP increases. The results showed that secondary roughness or unevenness has a great influence on roughness values. In general, it can be concluded that the shape and size of asperities are appropriate parameters to approach the field scale from the laboratory scale.

Estimation of geomechanical parameters of tunnel route using geostatistical methods

  • Aalianvari, Ali;Soltani-Mohammadi, Saeed;Rahemi, Zeynab
    • Geomechanics and Engineering
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    • 제14권5호
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    • pp.453-458
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    • 2018
  • Geomechanical parameters are important factors for engineering projects during design, construction and support stages of tunnel and dam projects. Geostatistical estimation methods are known as one of the most significant approach at estimation of Geomechanical parameters. In this study, Azad dam headrace tunnel is chosen to estimate Geomechanical parameters such as Rock Quality Designation (RQD) and uniaxial compressive strength (UCS) by ordinary kriging as a geostatistical method. Also Rock Mass Rating (RMR) distribution is presented along the tunnel. Main aim in employment of geostatistical methods is estimation of points that unsampled by sampled points.To estimation of parameters, initially data are transformed to Gaussian distribution, next structural data analysis is completed, and then ordinary kriging is applied. At end, specified distribution maps for each parameter are presented. Results from the geostatistical estimation method and actual data have been compared. Results show that, the estimated parameters with this method are very close to the actual parameters. Regarding to the reduction of costs and time consuming, this method can use to geomechanical estimation.

Three-dimensional geostatistical modeling of subsurface stratification and SPT-N Value at dam site in South Korea

  • Mingi Kim;Choong-Ki Chung;Joung-Woo Han;Han-Saem Kim
    • Geomechanics and Engineering
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    • 제34권1호
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    • pp.29-41
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    • 2023
  • The 3D geospatial modeling of geotechnical information can aid in understanding the geotechnical characteristic values of the continuous subsurface at construction sites. In this study, a geostatistical optimization model for the three-dimensional (3D) mapping of subsurface stratification and the SPT-N value based on a trial-and-error rule was developed and applied to a dam emergency spillway site in South Korea. Geospatial database development for a geotechnical investigation, reconstitution of the target grid volume, and detection of outliers in the borehole dataset were implemented prior to the 3D modeling. For the site-specific subsurface stratification of the engineering geo-layer, we developed an integration method for the borehole and geophysical survey datasets based on the geostatistical optimization procedure of ordinary kriging and sequential Gaussian simulation (SGS) by comparing their cross-validation-based prediction residuals. We also developed an optimization technique based on SGS for estimating the 3D geometry of the SPT-N value. This method involves quantitatively testing the reliability of SGS and selecting the realizations with a high estimation accuracy. Boring tests were performed for validation, and the proposed method yielded more accurate prediction results and reproduced the spatial distribution of geotechnical information more effectively than the conventional geostatistical approach.

Selection of Optimal Values in Spatial Estimation of Environmental Variables using Geostatistical Simulation and Loss Functions

  • Park, No-Wook
    • 한국지구과학회지
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    • 제31권5호
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    • pp.437-447
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    • 2010
  • Spatial estimation of environmental variables has been regarded as an important preliminary procedure for decision-making. A minimum variance criterion, which has often been adopted in traditional kriging algorithms, does not always guarantee the optimal estimates for subsequent decision-making processes. In this paper, a geostatistical framework is illustrated that consists of uncertainty modeling via stochastic simulation and risk modeling based on loss functions for the selection of optimal estimates. Loss functions that quantify the impact of choosing any estimate different from the unknown true value are linked to geostatistical simulation. A hybrid loss function is especially presented to account for the different impact of over- and underestimation of different land-use types. The loss function-specific estimates that minimize the expected loss are chosen as optimal estimates. The applicability of the geostatistical framework is demonstrated and discussed through a case study of copper mapping.

Application of Seismic Inversion to the Gas Field Development

  • Jo, Nam-Dae;Yang, Su-Yeong;Kim, Jae-Woo
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2009년도 특별 심포지엄
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    • pp.47-56
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    • 2009
  • Proper reservoir characterization is an integral part of formation evaluation, reserve estimation and planning of field development. Seismic inversion is a widely employed reservoir characterization tool that provides various rock properties of reservoir intervals. This study presents results of the inversion studies including Geostatistical Inversion carried out on the gas fields, offshore Myanmar. Higher resolution and multiple models can be produced by Geostatistical Inversion using input data such as pre-stack seismic data, well logs, petrophysical relationships and geological inferences for example reservoir shape and lateral extent. Detailed reservoir characterization was required for the development plan of gas fields, and the Geostatistical Inversion studies served as a basis for integrated geological modeling and development well planning.

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측정 범위가 다른 다중 물리 탐사 자료의 지구통계학적 복합 해석 (Geostatistical Integration of Multi-Geophysical Data Measured at Different Ranges)

  • 오석훈
    • 지구물리와물리탐사
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    • 제12권4호
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    • pp.309-315
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    • 2009
  • 물리탐사 자료의 복합해석은 탐사 대상체에 대해 단일자료 해석보다 신뢰도가 높은 정보를 제공할 수 있다는 점에서 지속적으로 적용되고 있다. 특히, 지구통계학적 복합해석은 탐사 자료의 물성 뿐만 아니라 공간적 특성을 확률적으로 다룰 수 있다는 점과 탐사자료의 복합과정이 명확하다는 장점을 가지고 있다. 본 연구에서는 물리탐사 자료의 복합해석을 위해 기존에 개발된 지구통계학적 역산 기법을 확장하여, 다중 탐사 자료가 같은 위치에 존재하지 않는 경우의 해석 방안을 제시하였다. 각 탐사자료의 크리깅 분산은 측정 자료의 공간적 배치에 의존한다. 즉, 측정 자료가 가까울수록 분산값은 작아지며 반대의 경우 그 값은 커진다. 다중 물리탐사 자료를 이용하여 임의의 지점에서 물성을 추정할 때, 이러한 공간적 특성을 가중값으로 반영하여 지구통계학적 역산에 의한 해석을 수행하였다. 이 방법을 이용하여 서로 다른 위치에서 다른 탐사 방법으로 측정한 자료를 복합적으로 해석할 수 있는 객관적인 절차를 제공하게 된다.

지질 주제도 작성을 위한 지표 조사 자료와 부가 자료의 지구통계학적 통합 (Geostatistical Integration of Ground Survey Data and Secondary Data for Geological Thematic Mapping)

  • 박노욱;장동호;지광훈
    • 대한원격탐사학회지
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    • 제22권6호
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    • pp.581-593
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    • 2006
  • 다양한 지질 주제도는 현지 조사에 의해 부분적으로 샘플링된 공간 자료의 내삽을 통해 작성되어 왔으며, 공간적 예측을 위해 공간적 상관성을 고려하는 지구통계학적 크리깅이 많이 적용되어 왔다. 이 논문에서는 지질 주제도 작성을 목적으로 부분적인 샘플링 자료와 이와 상관된 부가자료를 통합하기 위해 다변량 지구통계 기법을 적용하였다. 다변량 지구통계 기법으로 simple kriging with local means와 kriging with an external drift를 적용하였다. 지하수위 분포도 작성과 퇴적물 입도 분포도 작성의 2가지 사례연구를 수행하였는데, 지하수위 분포도 작성에는 지하수위 분포 샘플링 자료와 수치고도모델을, 퇴적물 입도분포도 작성에는 입도 샘플링 자료와 IKONOS 원격탐사 자료를 이용하였다. 사례연구 수행결과, 다변량 지구통계 기법이 그동안 많이 이용되어온 단변량 지구통계 기법 친 정규 크리깅에 비해 작은 추정 오차를 나타내면서 국소적인 특성을 반영할 수 있었다. 그러나 추정 오차의 정도는 샘플링 밀도, 부가자료와의 상관성과 공간자료 자체의 상관성 정도에 영향을 받는 것으로 나타났는데, 특히 퇴적물 입도 분포도 작성 사례연구에서 이러한 요소들이 상호 영향을 미쳐 부가자료의 이용 효과가 상대적으로 적게 나타났다.

The Effects of Spatial Patterns in Low Resolution Thematic Maps on Geostatistical Downscaling

  • Park, No-Wook
    • 대한원격탐사학회지
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    • 제27권6호
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    • pp.625-635
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    • 2011
  • This paper investigates the effects of spatial autocorrelation structures in low resolution data on downscaling without ground measurements or secondary data, as well as the potential of geostatistical downscaling. An advanced geostatistical downscaling scheme applied in this paper consists of two analytical steps: the estimation of the point-support spatial autocorrelation structure by variogram deconvolution and the application of area-to-point kriging. Point kriging of block data without variogram deconvolution is also applied for a comparison purpose. Experiments using two low resolution thematic maps derived from remote sensing data showing very different spatial patterns are carried out to discuss the objectives. From the experiments, it is demonstrated that the advanced geostatistical downscaling scheme can generate the downscaling results that well preserve overall patterns of original low resolution data and also satisfy the coherence property, regardless of spatial patterns in input low resolution data. Point kriging of block data can produce the downscaling result compatible to that by area-to-point kriging when the spatial continuity in block data is strong. If heterogeneous local variations are dominant in input block data, the treatment of the low resolution data as point data cannot generate the reliable downscaling result, and this simplification should not be applied to donwscaling.

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

  • 박계순;오석훈;이희순;권병두;양준모
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2007년도 공동학술대회 논문집
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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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자연 수리자극을 이용한 소유역 규모 대수층 수리전도도 특성화: 지구통계 진화전략 역산해석 기법의 적용 가능성 시험 (Feasibility Test for Hydraulic Conductivity Characterization of Small Basin-Scale Aquifers Based on Geostatistical Evolution Strategy Using Naturally Imposed Hydraulic Stress)

  • 박은규
    • 한국지하수토양환경학회지:지하수토양환경
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    • 제25권4호
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    • pp.87-97
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    • 2020
  • In this study, the applicability of the geostatistical evolution strategy as an inverse analysis method of estimating hydraulic properties of small-scale basin was tested. The geostatistical evolution strategy is a type of data assimilation method that can effectively estimate aquifer hydraulic conductivity by combining a global optimization model of the evolution strategy and a local optimization model of the ensemble Kalman filtering. In the applicability test, the geometry, hydraulic boundary conditions, and the distribution of groundwater monitoring wells of Hanlim-Eup were employed. On the other hand, a synthetic hydraulic conductivity distribution was generated and used as the reference property for ease of estimation quality assessment. In the estimations, two different cases were tested where, in Case I, both groundwater levels and hydraulic conductivity measurements were assumed to be available, and only the groundwater levels were available, in Case II. In both cases, the reference and estimated hydraulic conductivity fields were found to show reasonable similarity, even though the prior information for estimation was not accurate. The ability to estimate hydraulic conductivity without accurate prior information suggests that this method can be used effectively to estimate mathematical properties in real-world cases, many of which little prior information is available for the aquifer conditions.