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Application of the Modified Shepard’s Method (MSM): A Case Study with the Interpolation of Neogene Reservoir Variables in Northern Croatia

Author

Listed:
  • Tomislav Malvić

    (Faculty of Mining, Geology and Petroleum Engineering, University of Zagreb, HR-10000 Zagreb, Croatia)

  • Josip Ivšinović

    (INA Plc., Zagreb, HR-10000 Zagreb, Croatia)

  • Josipa Velić

    (Faculty of Mining, Geology and Petroleum Engineering, University of Zagreb, HR-10000 Zagreb, Croatia)

  • Jasenka Sremac

    (Faculty of Science, University of Zagreb, HR-10000 Zagreb, Croatia)

  • Uroš Barudžija

    (Faculty of Mining, Geology and Petroleum Engineering, University of Zagreb, HR-10000 Zagreb, Croatia)

Abstract

Interpolation is a procedure that depends on the spatial and/or statistical properties of the analysed variable(s). It is a particularly challenging task for small datasets, such as in those with less than 20 points of data. This problem is common in subsurface geological mapping, i.e., in cases where the data is taken solely from wells. Successful solutions of such mapping problems depend on interpolation methods designed primarily for small datasets and the datasets themselves. Here, we compare two methods, Inverse Distance Weighting and the Modified Shepard’s Method, and apply them to three variables (porosity, permeability, and thickness) measured in the Neogene sandstone hydrocarbon reservoirs (northern Croatia). The results show that cross-validation itself will not provide appropriate map selection, but, in combination with geometrical features, it can help experts eliminate the solutions with low-probable structures/shapes. The Golden Software licensed program Surfer 15 was used for the interpolations in this study.

Suggested Citation

  • Tomislav Malvić & Josip Ivšinović & Josipa Velić & Jasenka Sremac & Uroš Barudžija, 2020. "Application of the Modified Shepard’s Method (MSM): A Case Study with the Interpolation of Neogene Reservoir Variables in Northern Croatia," Stats, MDPI, vol. 3(1), pages 1-16, March.
    • Handle: RePEc:gam:jstats:v:3:y:2020:i:1:p:7-83:d:336144
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    References listed on IDEAS

    as
    1. Tomislav Malvić & Goran Jović, 2012. "Thickness maps of Neogene and Quaternary sediments in the Kloštar Field (Sava Depression, Croatia)," Journal of Maps, Taylor & Francis Journals, vol. 8(3), pages 260-266.
    2. Marko Špelić & Tomislav Malvić & Vedran Saraf & Martina Zalović, 2016. "Remapping of depth of e-log markers between Neogene basement and Lower/Upper Pannonian border in the Bjelovar Subdepression," Journal of Maps, Taylor & Francis Journals, vol. 12(1), pages 45-52, January.
    3. Ping-Huan Kuo & Hsin-Chuan Chen & Chiou-Jye Huang, 2018. "Solar Radiation Estimation Algorithm and Field Verification in Taiwan," Energies, MDPI, vol. 11(6), pages 1-12, May.
    4. Kristina Novak Zelenika & Marko Cvetković & Tomislav Malvić & Josipa Velić & Jasenka Sremac, 2013. "Sequential Indicator Simulations maps of porosity, depth and thickness of Miocene clastic sediments in the Kloštar field, Northern Croatia," Journal of Maps, Taylor & Francis Journals, vol. 9(4), pages 550-557, December.
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    Cited by:

    1. Miaomiao Yang & Keli Zhang & Chenlu Huang & Qinke Yang, 2022. "Effects of Content of Soil Rock Fragments on Soil Erodibility in China," IJERPH, MDPI, vol. 19(2), pages 1-19, January.

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