Spatial Variability of Rock Depth Using Simple Kriging, Ordinary Kriging, RVM and MPMR

Viswanathan, R.; Jagan, J.; Samui, Pijush; Porchelvan, P.

doi:10.1007/s10706-014-9823-y

Cited by 16 publications

(5 citation statements)

References 16 publications

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“…The OK is a geostatistical method that uses the variance function as weights to unbiased optimal estimation. The OK interpolation method uses the variation function to express the spatial variation (Anderson et al, 2006;Viswanathan et al, 2015;Hekmatnejad et al, 2019), according to Eq. 3:…”

Section: Interpolation Methodsmentioning

confidence: 99%

“…The accuracy of DEM is directly affected by the interpolation algorithm, which makes the application of airborne GNSS in the study of terrain process difficult. Ordinary kriging (OK), radial basis function (RBF), inverse distance weighting (IDW), irregular network triangulated mesh (TIN), and natural neighbor (NN) interpolation algorithms can be used to simulate DEM and address the problems of voids (Bater and Coops, 2009;Erdogan, 2009;Guo et al, 2010;Shen et al, 2012;Chu et al, 2014;Lv et al, 2015;Montealegre et al, 2015;Montealegre et al, 2015;Viswanathan et al, 2015;Chen et al, 2018;Hekmatnejad et al, 2019;Gao et al, 2021). Previous studies have shown that DEM accuracy is significantly affected by factors such as interpolation methods, sampling density, spatial resolution, and terrain changes.…”

Section: Introductionmentioning

confidence: 99%

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An efficient method for modeling and evaluating the bench terrain of open-pit mines

Wang,

Gong,

et al. 2024

Front. Earth Sci.

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In order to quantitatively analyze the roughness of the bench floor during open-pit mine blasting, this study proposes a real-time measuring method for the three-dimensional terrain of the bench floor during the excavation process. Real-time monitoring is conducted at the boundary and discrete internal points of the workbench floor during electric shovel operation, utilizing real-time kinematic global navigation satellite system (RTK-GNSS) positioning technology. An improved convex hull algorithm is introduced to automatically extract the optimal boundary of discrete point clouds based on their spatial distribution characteristics. This study establishes a digital elevation model (DEM) using five interpolation algorithms for 3D terrain visualization simulation. Through cross-validation, a comparative analysis of the DEM accuracy, the simulation results of the ordinary kriging interpolation algorithm were found to be optimized. The optimized interpolation algorithm is applied to simulate the 3D terrain in the Dexing open-pit copper mine, and the relevant terrain parameters were calculated. This dataset can serve as a precise foundation for the real-time path planning of elevation blasting design and ground leveling operations.

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Section: Interpolation Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An efficient method for modeling and evaluating the bench terrain of open-pit mines

Wang,

Gong,

et al. 2024

Front. Earth Sci.

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“…According to Viswanathan et al [62], SK differs from OK in that it employs the global mean of the complete dataset and subsequently incorporates estimated residuals. The equation for UK can be expressed as Equation (5).…”

Section: Skmentioning

confidence: 99%

Addressing Nitrate Contamination in Groundwater: The Importance of Spatial and Temporal Understandings and Interpolation Methods

Zaresefat,

Hosseini,

Ahrari Roudi

2023

Water

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Iranian water security is threatened by groundwater (GW) degradation. The excessive use of GW for agriculture in Iran is degrading these resources. Livestock waste disposal and sewage irrigation are also major contributors. Nitrate (NO3) contamination in GW is a growing global concern, posing serious health and environmental risks. Soil can easily leach NO3 into GW, causing long-term contamination. Understanding the temporal and spatial patterns of NO3 pollution is vital in protecting human health and establishing safe drinking water limits. Choosing an appropriate interpolation method is crucial for creating a reliable spatial variability map, which is essential for environmental research and decision-making. This study used 85 GW samples collected over four periods to create interpolated maps and examine the spatial variability of NO3 levels. Spatial interpolation methods were performed using the geostatistical tool within ArcGIS Software. The results showed that Empirical Bayesian Kriging (EBK) was the most effective of the five evaluated interpolation methods, although the performance of each method varied depending on the period sampled. Therefore, the choice of interpolation method should be tailored to the study’s specific needs and the characteristics of the data being interpolated. The EBK method produced interpolation maps that illustrated the spatial distribution of NO3 concentrations, both within and exceeding the recommended guidelines. Interpolation methods can assist in creating spatial maps of NO3 concentrations, identifying pollution sources, and developing targeted management strategies. These maps demonstrate the potential impact of human activities on the observed patterns. A thorough understanding of Iran’s current GW quality is very important and valuable for management and policymakers.

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“…Successful application of this machine learning algorithm can be found in the literature (Jagan et al, 2016b;Kardani et al, 2021a;Kumar et al, 2019;Samui and Kim, 2016;Viswanathan et al, 2015).…”

Section: S R Amentioning

confidence: 99%

Predicting Probability of Liquefaction Susceptibility Based on a Wide Range of CPT Data

Dhilipkumar

Bardhan

Samui

et al. 2021

International Journal of Geotechnical Earthquake Engineering

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In the present study, three efficient soft computing techniques i.e. GP, RVM, and MARS are utilized to predict the probabilistic liquefaction susceptibility of soils based on reliability analysis. For this, a sum of 253 Cone Penetration Test (CPT) data of nineteen major earthquakes occurred between 1964 and 2011 has been collected from the literature. Six liquefaction parameters such as corrected cone penetration resistance, total vertical stress, total effective stress, maximum horizontal acceleration, magnitude moment, and depth of penetration. To evaluate the overall performance of the proposed models, rank analysis has been carried out. Based on the values of performance indices, the GP model outperforms the other two models in terms of RMSE=0.15, R2 =0.77, and VAF=76.86 in the training stage while the same has been found 0.14, 0.81, and 80.46 in the testing phase. Also, the Rank Analysis confirms the superiority of the GP model in predicting the probability of liquefaction susceptibility of soils at all stages.

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Spatial Variability of Rock Depth Using Simple Kriging, Ordinary Kriging, RVM and MPMR

Cited by 16 publications

References 16 publications

An efficient method for modeling and evaluating the bench terrain of open-pit mines

An efficient method for modeling and evaluating the bench terrain of open-pit mines

Addressing Nitrate Contamination in Groundwater: The Importance of Spatial and Temporal Understandings and Interpolation Methods

Predicting Probability of Liquefaction Susceptibility Based on a Wide Range of CPT Data

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