Research Article
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Year 2025, Volume: 13 Issue: 3 , 642 - 666 , 01.09.2025
https://doi.org/10.36306/konjes.1612211
https://izlik.org/JA66TP38RA

Abstract

References

  • N. Avsaroglu, 2020, “Turkey Mining Sector”, Researchgate. [Online]. Available: https://www.researchgate.net/profile/Nadir-Avsaroglu/publication/346803314_TURKEY_MINING_SECTOR/links/5fd0ffa2299bf188d406af0d/TURKEY-MINING-SECTOR.pdf.
  • M. Knotterset, D.J. Brus, and J.H. Oude Voshaar, "A comparison of kriging, co-kriging and kriging combined with regression for spatial interpolation of horizon depth with censored observations." Geoderma, 67(3-4), pp. 227-246, 1995, doi: 10.1016/0016-7061(95)00011-C.
  • M. Çetin and K. Tülücü, “Doğu akdeniz bölgesinde aylık yağışların yersel değişimlerinin jeoistatistik yöntemle incelenmesi”, Tr. J. of Engineering and Environmental Science, 22, pp. 279-288, 1998.
  • A. E. Tercan and A. I. Karayigit, "Estimation of lignite reserve in the Kalburcayiri field, Kangal basin, Sivas, Turkey", International Journal of Coal Geology, 47.2, pp.91-100, 1998, doi: 10.1016/S0166-5162(01)00033-7.
  • H. Uyguçgil, “Çok Değişkenli Maden Yataklarında Rezerv Tenör Tahmininde Jeoistatistik Ve Coğrafi Bilgi Sistemleri Tekniklerinin Kullanımı”, Ph.D. dissertation, Eskisehir Osmangazi Üniv., Fen Bilimleri Enst., Eskişehir, 2007.
  • M. N. Heriawan and K. Koike, "Identifying spatial heterogeneity of coal resource quality in a multilayer coal deposit by multivariate geostatistics" International Journal of Coal Geology, 73(3-4), pp. 307-330, 2008, doi: 10.1016/j.coal.2007.07.005.
  • B. J. Wilde and C. V. Deutsch, "Kriging and simulation in presence of stationary domains: developments in boundary modelling", Geostatistics Oslo 2012, Dordrecht: Springer Netherlands, pp. 289-300, 2012.
  • B. A. Mert and A. Dag, "A computer program for practical semivariogram modeling and ordinary kriging: a case study of porosity distribution in an oil field" Open Geosciences, 9.1, pp. 663-674, 2017.
  • M. Hüsrevoğlu, “Jeoistatistik analiz ile yağış haritalarının görselleştirilmesi”, M.S. thesis, Selçuk Üniv., Fen Bilimleri Enst., Konya, 2018.
  • W. S. Bargawa and R. F. Tobing, "Iron ore resource modeling and estimation using geostatistics," in AIP Conference Proceedings, Vol. 2245. No. 1. AIP Publishing, 2020.
  • M. D. Ramadhan, I. Marwanza, C. Nas, M. A. Azizi, W. Dahani and R. Kurniawati, "Drill holes spacing analysis for estimation and classification of coal resources based on variogram and kriging," in IOP Conference Series: Earth and Environmental Science, Vol. 819. No. 1. IOP Publishing, 2021.
  • A. Kumar and R. Dimitrakopoulos, "Updating geostatistically simulated models of mineral deposits in real-time with incoming new information using actor-critic reinforcement learning", Computers & Geosciences, 158, 104962, 2022, doi: 10.1016/j.cageo.2021.104962.
  • F. I. Siddiqui, A. G. Pathan, B. Ünver, A. E. Tercan, M. A. Hindistan, G. Ertunç, ... and Y. Kıllıoğlu, "Lignite resource estimations and seam modeling of Thar Field, Pakistan", International Journal of Coal Geology, 140, pp.84-96, 2015, doi: 10.1016/j.cageo.2021.104962.
  • M. Uyan and A. E. Dursun, "Determination and modeling of lignite reserve using geostatistical analysis and GIS", Arabian Journal of Geosciences, 14(4), pp. 312, 2021, doi: 10.1007/s12517-021-06633-2.
  • M. A. Oliver and R. Webster, "A tutorial guide to geostatistics: Computing and modelling variograms and kriging", Catena, 113, pp. 56-69, 2014, doi: 10.1016/j.catena.2013.09.006.
  • E. Aksoy, "Toprak Haritalamada Pedolojik ve Coğrafi Değişkenler Arasındaki İlişkinin Sayısal Ortamda Belirlenmesi: Tekirova örneği ", Ph.D. dissertation, Akdeniz Üniv., Fen Bilimleri Enst., Antalya, 2011.
  • R. F. Ken, M. P. Hubson and S. J. Bence, "Mathematical methods for physics and engineering third edition paperback set" Mathematical Methods for Physics and Engineering-3rd Edition (2006): 1362.
  • R. Webster and M. A. Oliver, "Geostatistics for environmental scientists", John Wiley & Sons, 2007.
  • B. Topal, "Jeoistatistiksel Variogram ve Modelleme Yazılımı: Sayaca (Ulubey, Ordu) Altın Cevherlesmesi’nde Uygulanması", M.S. Thesis, Hacettepe Üniv., Fen Bilimleri Enst., Ankara, 2007.
  • C. M. Yeşilkanat, Y. Kobya, H. Taşkın and U. Çevik, "Jeoistatistik tahmin ve simülasyon yöntemleri ile Artvin ilindeki doğal kaynak suları için toplam alfa ve toplam betanın ara değer modellemesi ve haritalanması", Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, 35(4), pp. 11-35, 2014.
  • D. D. Sarma, "Geostatistics with applications in earth sciences", Springer Science & Business Media, 2010.
  • O. Aydın, "Türkiye’de Yıllık Ortalama Toplam Yağışın Kriging Yöntemiyle Belirlenmesi", Ph.D. dissertation, Ankara Üniv.,Sosyal Bilimler Enst., Ankara, 2014.
  • K. Krivoruchko, "Introduction to modeling spatial processes using geostatistical analyst", ESRI Educational and Research Papers, Redland, 2004
  • O. Aydın, N. Türkoğlu and İ. Çiçek, "The importance of geostatistics in pyschical geography Fiziki coğrafyada jeoistatistiğin önemi", Journal of Human Sciences, 12(2), pp. 1397-1415, 2015.
  • H. Wackernagel, "Multivariate geostatistics: an introduction with applications", Springer Science & Business Media, 2003.
  • G. Bohling, "Introduction to geostatistics and variogram analysis", Kansas geological survey 1(10), 2005.
  • K. Johnston, K. Krivoruchko, N. Lucas, M. Jay and V. Hoef, "Using ArcGIS geostatistical analyst", Vol. 380. Redlands: Esri, 2001
  • H. Apaydin, F. K. Sonmez and Y. E. Yildirim, "Spatial interpolation techniques for climate data in the GAP region in Turkey", Climate Research, 28(1), pp. 31-40, 2004, doi: 10.3354/cr028031.
  • O. Aydın and N. Raja, "Yağışın mekânsal dağılışında deterministik ve stokastik yöntemler: Mauritius örneği, Doğu Afrika", Coğrafi Bilimler Dergisi, 14(1), pp. 1-14, 2016, doi: 10.1501/Cogbil_0000000170.
  • E. Asa, M. Saafi, J. Membah and A. Billa, "Comparison of linear and nonlinear kriging methods for characterization and interpolation of soil data", Journal of Computing in Civil Engineering, 26(1), pp. 11-18, 2012, doi: 10.1061/(ASCE)CP.1943-5487.00001.
  • M. Armstrong, "Basic linear geostatistics", Springer Science & Business Media, 1998
  • P. Borges, J. Franke, Y. Y. Anunciação, H. Weiss and C. Bernhofer, "Comparison of spatial interpolation methods for the estimation of precipitation distribution in Distrito Federal, Brazil" Theoretical and applied climatology, 123, pp. 335-348, 2016, doi: 10.1007/s00704-014-1359-9.
  • J. F. Ramírez-Davila, E. Porcayo-Camargo, J. R. Sánchez-Pale and L. M. Vázquez-García, "Spatial Behavior Comparison of Bactericera cockerelli Sulc.(Hemiptera: Triozidae) in Mexico", Neotropical entomology, 41, pp. 9-16, 2012, doi: 10.1007/s13744-012-0019-y.

INVESTIGATION OF A SUITABLE MODEL FOR MINERAL RESERVE ESTIMATION BY ORDINARY KRIGING METHOD

Year 2025, Volume: 13 Issue: 3 , 642 - 666 , 01.09.2025
https://doi.org/10.36306/konjes.1612211
https://izlik.org/JA66TP38RA

Abstract

This study aims to determine the most suitable model for reserve estimation of a lignite mine in Tavşanlı district, Kütahya, using the Ordinary Kriging (OK) method. Eleven different variogram models were tested, assuming isotropic data, with and without trend removal. Data were normalized through skewed and logarithmic transformations before variogram modeling. The effects of these factors on geostatistical estimation were evaluated statistically. Results showed that the best estimations for the upper and lower surfaces of the lignite reserve were achieved by applying the OK method with skewed distribution data, after removing the trend effect, and using the Hole Effect variogram model. For surface value estimation, the best regression lines between measured and predicted coal depths were y = 0.998x + 0.92 (upper surface) and y = 0.994x + 3.45 (lower surface), indicating high accuracy. Based on the selected method, the lignite reserve in the study area was estimated at approximately 44 million m³.

Ethical Statement

The authors declare that they comply with all ethical standards.

References

  • N. Avsaroglu, 2020, “Turkey Mining Sector”, Researchgate. [Online]. Available: https://www.researchgate.net/profile/Nadir-Avsaroglu/publication/346803314_TURKEY_MINING_SECTOR/links/5fd0ffa2299bf188d406af0d/TURKEY-MINING-SECTOR.pdf.
  • M. Knotterset, D.J. Brus, and J.H. Oude Voshaar, "A comparison of kriging, co-kriging and kriging combined with regression for spatial interpolation of horizon depth with censored observations." Geoderma, 67(3-4), pp. 227-246, 1995, doi: 10.1016/0016-7061(95)00011-C.
  • M. Çetin and K. Tülücü, “Doğu akdeniz bölgesinde aylık yağışların yersel değişimlerinin jeoistatistik yöntemle incelenmesi”, Tr. J. of Engineering and Environmental Science, 22, pp. 279-288, 1998.
  • A. E. Tercan and A. I. Karayigit, "Estimation of lignite reserve in the Kalburcayiri field, Kangal basin, Sivas, Turkey", International Journal of Coal Geology, 47.2, pp.91-100, 1998, doi: 10.1016/S0166-5162(01)00033-7.
  • H. Uyguçgil, “Çok Değişkenli Maden Yataklarında Rezerv Tenör Tahmininde Jeoistatistik Ve Coğrafi Bilgi Sistemleri Tekniklerinin Kullanımı”, Ph.D. dissertation, Eskisehir Osmangazi Üniv., Fen Bilimleri Enst., Eskişehir, 2007.
  • M. N. Heriawan and K. Koike, "Identifying spatial heterogeneity of coal resource quality in a multilayer coal deposit by multivariate geostatistics" International Journal of Coal Geology, 73(3-4), pp. 307-330, 2008, doi: 10.1016/j.coal.2007.07.005.
  • B. J. Wilde and C. V. Deutsch, "Kriging and simulation in presence of stationary domains: developments in boundary modelling", Geostatistics Oslo 2012, Dordrecht: Springer Netherlands, pp. 289-300, 2012.
  • B. A. Mert and A. Dag, "A computer program for practical semivariogram modeling and ordinary kriging: a case study of porosity distribution in an oil field" Open Geosciences, 9.1, pp. 663-674, 2017.
  • M. Hüsrevoğlu, “Jeoistatistik analiz ile yağış haritalarının görselleştirilmesi”, M.S. thesis, Selçuk Üniv., Fen Bilimleri Enst., Konya, 2018.
  • W. S. Bargawa and R. F. Tobing, "Iron ore resource modeling and estimation using geostatistics," in AIP Conference Proceedings, Vol. 2245. No. 1. AIP Publishing, 2020.
  • M. D. Ramadhan, I. Marwanza, C. Nas, M. A. Azizi, W. Dahani and R. Kurniawati, "Drill holes spacing analysis for estimation and classification of coal resources based on variogram and kriging," in IOP Conference Series: Earth and Environmental Science, Vol. 819. No. 1. IOP Publishing, 2021.
  • A. Kumar and R. Dimitrakopoulos, "Updating geostatistically simulated models of mineral deposits in real-time with incoming new information using actor-critic reinforcement learning", Computers & Geosciences, 158, 104962, 2022, doi: 10.1016/j.cageo.2021.104962.
  • F. I. Siddiqui, A. G. Pathan, B. Ünver, A. E. Tercan, M. A. Hindistan, G. Ertunç, ... and Y. Kıllıoğlu, "Lignite resource estimations and seam modeling of Thar Field, Pakistan", International Journal of Coal Geology, 140, pp.84-96, 2015, doi: 10.1016/j.cageo.2021.104962.
  • M. Uyan and A. E. Dursun, "Determination and modeling of lignite reserve using geostatistical analysis and GIS", Arabian Journal of Geosciences, 14(4), pp. 312, 2021, doi: 10.1007/s12517-021-06633-2.
  • M. A. Oliver and R. Webster, "A tutorial guide to geostatistics: Computing and modelling variograms and kriging", Catena, 113, pp. 56-69, 2014, doi: 10.1016/j.catena.2013.09.006.
  • E. Aksoy, "Toprak Haritalamada Pedolojik ve Coğrafi Değişkenler Arasındaki İlişkinin Sayısal Ortamda Belirlenmesi: Tekirova örneği ", Ph.D. dissertation, Akdeniz Üniv., Fen Bilimleri Enst., Antalya, 2011.
  • R. F. Ken, M. P. Hubson and S. J. Bence, "Mathematical methods for physics and engineering third edition paperback set" Mathematical Methods for Physics and Engineering-3rd Edition (2006): 1362.
  • R. Webster and M. A. Oliver, "Geostatistics for environmental scientists", John Wiley & Sons, 2007.
  • B. Topal, "Jeoistatistiksel Variogram ve Modelleme Yazılımı: Sayaca (Ulubey, Ordu) Altın Cevherlesmesi’nde Uygulanması", M.S. Thesis, Hacettepe Üniv., Fen Bilimleri Enst., Ankara, 2007.
  • C. M. Yeşilkanat, Y. Kobya, H. Taşkın and U. Çevik, "Jeoistatistik tahmin ve simülasyon yöntemleri ile Artvin ilindeki doğal kaynak suları için toplam alfa ve toplam betanın ara değer modellemesi ve haritalanması", Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, 35(4), pp. 11-35, 2014.
  • D. D. Sarma, "Geostatistics with applications in earth sciences", Springer Science & Business Media, 2010.
  • O. Aydın, "Türkiye’de Yıllık Ortalama Toplam Yağışın Kriging Yöntemiyle Belirlenmesi", Ph.D. dissertation, Ankara Üniv.,Sosyal Bilimler Enst., Ankara, 2014.
  • K. Krivoruchko, "Introduction to modeling spatial processes using geostatistical analyst", ESRI Educational and Research Papers, Redland, 2004
  • O. Aydın, N. Türkoğlu and İ. Çiçek, "The importance of geostatistics in pyschical geography Fiziki coğrafyada jeoistatistiğin önemi", Journal of Human Sciences, 12(2), pp. 1397-1415, 2015.
  • H. Wackernagel, "Multivariate geostatistics: an introduction with applications", Springer Science & Business Media, 2003.
  • G. Bohling, "Introduction to geostatistics and variogram analysis", Kansas geological survey 1(10), 2005.
  • K. Johnston, K. Krivoruchko, N. Lucas, M. Jay and V. Hoef, "Using ArcGIS geostatistical analyst", Vol. 380. Redlands: Esri, 2001
  • H. Apaydin, F. K. Sonmez and Y. E. Yildirim, "Spatial interpolation techniques for climate data in the GAP region in Turkey", Climate Research, 28(1), pp. 31-40, 2004, doi: 10.3354/cr028031.
  • O. Aydın and N. Raja, "Yağışın mekânsal dağılışında deterministik ve stokastik yöntemler: Mauritius örneği, Doğu Afrika", Coğrafi Bilimler Dergisi, 14(1), pp. 1-14, 2016, doi: 10.1501/Cogbil_0000000170.
  • E. Asa, M. Saafi, J. Membah and A. Billa, "Comparison of linear and nonlinear kriging methods for characterization and interpolation of soil data", Journal of Computing in Civil Engineering, 26(1), pp. 11-18, 2012, doi: 10.1061/(ASCE)CP.1943-5487.00001.
  • M. Armstrong, "Basic linear geostatistics", Springer Science & Business Media, 1998
  • P. Borges, J. Franke, Y. Y. Anunciação, H. Weiss and C. Bernhofer, "Comparison of spatial interpolation methods for the estimation of precipitation distribution in Distrito Federal, Brazil" Theoretical and applied climatology, 123, pp. 335-348, 2016, doi: 10.1007/s00704-014-1359-9.
  • J. F. Ramírez-Davila, E. Porcayo-Camargo, J. R. Sánchez-Pale and L. M. Vázquez-García, "Spatial Behavior Comparison of Bactericera cockerelli Sulc.(Hemiptera: Triozidae) in Mexico", Neotropical entomology, 41, pp. 9-16, 2012, doi: 10.1007/s13744-012-0019-y.
There are 33 citations in total.

Details

Primary Language English
Subjects Geospatial Information Systems and Geospatial Data Modelling
Journal Section Research Article
Authors

Murat Bağcı 0000-0001-8407-5840

Mevlüt Uyan 0000-0002-3415-6893

Arif Emre Dursun 0000-0003-2001-7814

Submission Date January 2, 2025
Acceptance Date May 27, 2025
Publication Date September 1, 2025
DOI https://doi.org/10.36306/konjes.1612211
IZ https://izlik.org/JA66TP38RA
Published in Issue Year 2025 Volume: 13 Issue: 3

Cite

IEEE [1]M. Bağcı, M. Uyan, and A. E. Dursun, “INVESTIGATION OF A SUITABLE MODEL FOR MINERAL RESERVE ESTIMATION BY ORDINARY KRIGING METHOD”, KONJES, vol. 13, no. 3, pp. 642–666, Sept. 2025, doi: 10.36306/konjes.1612211.