• Structural Engineering and Mechanics
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• 제82권3호
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• pp.271-282
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• 2022

The active learning surrogate model based on adaptive sampling strategy is increasingly popular in reliability analysis. However, most of the existing sampling strategies adopt the trial and error method to determine the size of the Monte Carlo (MC) candidate sample pool which satisfies the requirement of variation coefficient of failure probability. It will lead to a reduction in the calculation efficiency of reliability analysis. To avoid this defect, a new method for determining the optimal size of the MC candidate sample pool is proposed, and a new structural reliability analysis method combining polynomial chaos-based Kriging model (PC-Kriging) with adaptive sampling region is also proposed (PCK-ASR). Firstly, based on the lower limit of the confidence interval, a new method for estimating the optimal size of the MC candidate sample pool is proposed. Secondly, based on the upper limit of the confidence interval, an adaptive sampling region strategy similar to the radial centralized sampling method is developed. Then, the k-means++ clustering technique and the learning function LIF are used to complete the adaptive design of experiments (DoE). Finally, the effectiveness and accuracy of the PCK-ASR method are verified by three numerical examples and one practical engineering example.

• Spatial Information Research
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• 제20권4호
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• pp.17-27
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• 2012

본 연구는 한강중상류유역에 위치한 강원광산부지로부터 발생한 중금속의 오염실태를 파악하고자 주성분 분석과 크리깅 공간통계기법을 시도하였다. 토양 심토에서 제1 주성분(PC1)의 경우 광산 주변의 정남쪽방향에서 정북방향으로 아연과 니켈의 농도가 점진적으로 확산되고 있었으며 제2 주성분(PC2)은 강원광산 중남부지역에서 카드뮴과 수은 함량의 농도가 높게 나타났다. 클러스터 분석결과, D그룹에서 비소와 구리 금속이 공간자기상관관계가 높게 나타났으며 비소의 경우 중금속 농도가 0.83mg/kg로 남에서 북쪽방향으로 증가하였다. 본 연구는 크리깅모델을 이용하여 광산부지로부터 오염토양의 중금속 분포 현황을 공간학적으로 파악할 수 있었고 향후 휴 폐광부지에서 위해성평가 및 정책당국의 결정권자들에게 오염토양 복원에 대한 의사결정시 도움이 될 것이다.

• 자원환경지질
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• 제26권2호
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• pp.207-215
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• 1993

In modem petroleum reservoir engineering, the characterization of reservoir heterogeneities is very important to accurately understand and predict reservoir production performance. Formation evaluation for the description of reservoir is generally conducted by performing the analysis of well logging, core testing, and well testing. However, the measured data points by well logging or core testing are in general very sparse and hence reservoir properties should be interpolated and extrapolated from measured points to uncharacterized areas. In assigning the data for the unknown points, simple averaging technique is not feasible as optimum estimation method since this method does not account the spatial relationship between the data points. The main goal of this work is to develop PC-version of multi-purpose geostatistical model in which several stages are systematically proceeded. In the development of model, the simulator employs a automatic selection of semivariogram function such as exponential or spherical model with the best values of $R^2$. The simulator also implements a special algorithm for the fitting of semivariogram function to experimental sernivariogram. The special algorithm such as trial and error scheme is devised since this method is much more reliable and stable than Gauss-Newton method. The simulator has been tested under stringent conditions and found to be stable. Finally, the validity and the applicability of the developed model have been studied against some existing actual field data.

• 자원환경지질
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• 제38권4호
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• pp.435-450
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• 2005

본 연구는 다변량 통계분석을 이용하여 수리지화학적 특성을 분석하고, 주성분 분석을 통해 얻어진 변수를 설명하는 수리지화학적 과정에 대한 해석, 그리고 각 성분과 주성분을 이용한 공간정보에 대하여 지구통계기법을 적용하여 연구지역 지하수의 유동 및 순환 과정을 해석하고자 하였다. 제주도 지하수의 수질에 가장 많이 영향을 미치는 성분은 Cl과 $NO_3$이었으며, 특히 농업활동에 의해 증가되는 $NO_3$는 지하수 성분 중 가장 큰 변동을 보여주었다. 다변량 통계분석법인 주성분 분석(PCA)에 의한 수리지화학적 특성 분석 결과, 초기 3개의 주성분은 전체 분산의 $73.9\%$를 설명하였다. 주성분 1은 용존 이온의 증가를 나타내며, 주성분 2는 탄산염 광물의 용해와 질산염 오염의 영향, 주성분 3은 양이온 교환반응과 규산염광물의 용해과정을 지시한다. 실험적 반베리오그램 유형 분석 견과 지하수 성분은 크게 두 그룹으로 분류되며 각각의 그룹에는 EC, Cl, Na, $NO_3$와 $HCO_3,\;SiO_2,$ Ca, Sr이 속한다 지하수 성분의 공간분포 특징을 조사한 결과, 전기전도도(EC), Cl, Na는 해수의 영향을 받는 해안가로 갈수록 증가하는 경향을 보여주며, $NO_3$는 농경지의 분포와 밀접한 상관관계를 가진다. 이들 성분은 또한 지형과도 상관성을 가지며 이는 지하수 함양과의 관련성을 나타낸다. 요인 크리깅 수행 결과 PCI은 Cl, Na, EC의 공간분포와는 다른 양상을 보여주는데 이는 pH, Ca, Sr, $HCO_3$가 PCI에 미치는 영향 때문인 것으로 분석되었다 서부지역에서는 PC2의 이상대가 길게 나타나며 이는 탄산염 광물의 용해와 관련이 있는 것으로 사료된다. 이상의 결과로부터 연구지역 지하수에 대한 다변량 통계분석 및 지구통계 분석 기법의 적용은 수질에 대한 복합적 정보의 정량화와 공간 특성을 해석하는데 사용될 수 있다.

• 자원환경지질
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• 제28권3호
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• pp.199-211
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• 1995

The deep sea camera system could render it possible to obtain the detailed information of the nodule distribution, but difficult to estimate nodule abundance quantitatively. In order to estimate nodule abundance quantitatively from deep seabed photographs, the nodule abundance equation was derived from the box core data obtained in KODOS area(long.: $154^{\circ}{\sim}151^{\circ}W$, lat.: $9^{\circ}{\sim}12^{\circ}N$) during two survey cruises carried out in 1989 and 1990. The regression equation derived by considering extent of burial of nodule to Handa's equation compensates for the abundance error attributable to partial burial of some nodules by sediments. An average long axis and average extent of burial of nodules in photographed area are determined according to the surface textures of nodules, and nodule coverage is calculated by the image analysis method. Average nodule abundance estimated from seabed photographs by using the equation is approximately 92% of the actual average abundance in KODOS area. The measured sampling points by box core or free fall grab are in general very sparse and hence nodule abundance distribution should be interpolated and extrapolated from measured data to uncharacterized areas. The another goal of this study is to depict continuous distribution of nodule abundance in KODOS area by using PC-version of geostatistical model in which several stages are systematically proceeded. Geostatistics was used to analyse spatial structure and distribution of regionalized variable(nodule abundance) within sets of real data. In order to investigate the spatial structure of nodule abundance in KODOS area, experimental variograms were calculated and fitted to a spherical models in isotropy and anisotropy, respectively. The spherical structure models were used to map out distribution of the nodule abundance for isotropic and anisotropic models by using the kriging method. The result from anisotropic model is much more reliable than one of isotropic model. Distribution map of nodule abundance produced by PC-version of geostatistical model indicates that approximately 40% of KODOS area is considered to be promising area(nodule abundance > $5kg/m^2$) for mining in case of anisotropy.