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
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
Publication date:
31.1.2009.
Visits: 4.196 *