Comparison Of Covariance And Multiquadric Functions For Prediction Of Gravity Anomalies

This paper compares the covariance and multiquadric functions in some mining and geological applications. The basic principals of the two techniques are covered briefly. Similarities and dissimilarities of the covariance and multiquadric functions are discussed geometrically, mathematically and practically. A 14 km2 x 16 km2 area in Baharia Oasis, Western Desert of Egypt, was selected for a detailed comparative test. The gravity anomalies of 48 test stations were computed by using the data of 63 control stations. The results indicated that the covariance function is quite better than the multiquadric one. On the other hand, the multiquadric function is simpler in computation than the covariance, which requires precalculations such as semivariogram and covariogram. Moreover, multiquadric equations are based on geometric and physical considerations rather than covariance functions.