A Computer Program for Practical Semivariogram Modeling and Ordinary Kriging: A Case Study of Porosity Distribution in an Oil Field

Abstract

Abstract:In this study, firstly, a practical and educational geostatistical program (JeoStat) was developed, and then example analysis of porosity parameter distribution, using oilfield data, was presented. With this program, two or three-dimensional variogram analysis can be performed by using normal, log-normal or indicator transformed data. In these analyses, JeoStat offers seven commonly used theoretical variogram models (Spherical, Gaussian, Exponential, Linear, Generalized Linear, Hole Effect and Paddington Mix) to the users. These theoretical models can be easily and quickly fitted to experimental models using a mouse. JeoStat uses ordinary kriging interpolation technique for computation of point or block estimate, and also uses cross-validation test techniques for validation of the fitted theoretical model. All the results obtained by the analysis as well as all the graphics such as histogram, variogram and kriging estimation maps can be saved to the hard drive, including digitised graphics and maps. As such, the numerical values of any point in the map can be monitored using a mouse and text boxes. This program is available to students, researchers, consultants and corporations of any size free of charge. The JeoStat software package and source codes available at: http://www.jeostat.com/JeoStat_2017.0.rar

Technical note: Determining Arctic Ocean cold halocline and cold halostad layer depths based on vertical stability

“…The latter is approximated with a so called semivariogram model. In this analysis only the spherical semi-variogram model is used (Mert and Dag, 2017;Reshid, 2019). The weights take into account the clustering of the observations as it uses the inverse of the correlation-distance matrix between input points and the correlation-distance vector between input points and the point of interest.…”

Analysis of Terrain Modelling Methods in the Coastal Zone

“…the relationship between the values of a single feature that changes with the distance. This is half of the mean square of the difference between the values of the examined variable at two locations distant by the vector h [65]:…”

Afşin Elbistan-A Termik Santrali Yakın Çevresinde Uçucu Kül Kaynaklı Ağır Metal Dağılımının Gausssian Semivariogram Modeli ile İncelenmesi

“…1) Yöresel değişkenin değerleri arasındaki farkların, uzaklığa bağlı değişimlerini belirlemeye yarayan deneysel ve teorik yarıvariogram modellerinin tespit edilmesi, 2) Yarıvariogram modellerinin test edilmesi, 3) Kriging tahmin tekniği ile noktasal, alansal veya bir hacmi temsil eden tahminlerin yapılması, 4) Yapılan tahmin hatalarının belirlenmesi, Jeoistatistiksel bir çalışmada bu unsurların hepsinin sistematik olarak yapılması gerekir [5].…”