Skip to the main content

Original scientific paper

Linearity and Lagrange Linear Multiplicator in the Equations of Ordinary Kriging

Tomislav Malvić ; DSc, Graduate in Geology, INA-Naftaplin, Reservoir Engineering and Field Development Department, Advisor
Davorin Balić ; Graduate in Geology, INA-Naftaplin, Reservoir Engineering and Field Development Department, Field Development Engineer


Full text: croatian pdf 125 Kb

page 38-43

downloads: 1.242

cite

Full text: english pdf 640 Kb

page 31-37

downloads: 1.963

cite


Abstract

The equations of Simple and Ordinary Kriging are compared to outline their differences in the estimation procedure. Emphasis is given to the Lagrange multiplicator as a variable that allows the minimization of variance in Ordinary Kriging. The matrices and linear systems of kriging, which are most often performed in the background of the computer mapping algorithm, are analyzed and presented in detail. The intention is to show the importance of geomathematics in one of the basic geological tasks, mapping. Furthermore, a detailed presentation of equation sets provides a better understanding of the Simple and Ordinary Kriging algorithms for geological engineers, as the two most-used geostatistical techniques (included Indicator Kriging as the third). The conclusion includes proposals, presented in four steps, for the determination of the Lagrange multiplicator value in any Ordinary Kriging equation.

Keywords

geostatistics; kriging; linear estimator; Lagrange multiplier

Hrčak ID:

46155

URI

https://hrcak.srce.hr/46155

Publication date:

31.1.2009.

Article data in other languages: croatian

Visits: 4.732 *