158 



B. V. KOTLIAREVSKII 



The field g{x) -was given along the profile in the form of a smooth curve 

 having maxima and minima. The absolute values of gravity at the maxima 

 and minima, and also the linear dimensions of the latter varied considerably. 

 The length of the profile was 195 km, the total number of extreme points— 50. 

 The obtained values gQ — 4.5 mgal, Zq — 1.95 km. 



Later, on the profile were fixed the "observation points" with 2 km interval 

 (i.e. for each extreme point there was an average of two observations). 

 A certain error was ascribed to each observation. The values of the errors 

 obeyed the normal law, their distribution between the observation 



-^gW 



g, mqaL 



X, km 



Fig. 14. 



points being random. The mean square error in the values of gravity at 

 the observation points was a = ± 2.58 mgal. A Hnear interpolation was 

 caried out between the observation points and the errors were calculated. 

 The errors in the gravity increment between two isoanomalies were calculated 

 for the case p ~ 2. The results of the comparison of the measured values 

 of the errors with their theoretical values, obtained from the formulae, are 

 given in Tables 1 and 2. By way of illustration. Fig. 14 gives a part of the 

 experimental profile. 



A check was also made of formula (19). Measurements were made along 

 the profile of the first differences zIj^q fo^ different values of a and the 



Table 1. Mean square error in values of the force of gravity 



