Published July 2010

Sums optimization results analysis via CDP method

T.R.Ahmadov

In this article the results of analysis for the speeds, which were obtained by summation via method of general middle point (OST), are investigated. It is noted that while speed analysis along the optimum sums, submitted standard for given area of investigation often turns out also the sums, which differ from them by big and small values of speeds. The main goal of these investigations is to identify the nature of these abnormal sums. In order to find out the diffraction waves in formation of these sums, the new equation of these waves hodograph deduced. Unlike the classical approach for equation of hodograph general middle point (CDP) for diffractions waves is received that not in the form of sum for two expressions but only in the form of one equation, i.e., just as the equation of hodograph general middle point (CDP) of reflected wave. It is noted that among the speeds obtained while summation of reflected and diffracted waves there is a differences which have been analyzed detailed and recommended correspondingly. It is noticed, that generally the equation of hodograph OST of the wave, reflected from curvilinear border can be the function, which has the different sign of distance and in special points, including return points can be formed. Taking into consideration all these factors, we come to conclusion that as a result of the speed analysis the fictitious values of speeds, depending on the form and length of hodograph whereas in case of flat border of value the speeds summation, and do not depend on length of hodograph can turn out. Taking into consideration this phenomenon, it is noted that at area research works, characterized by curvilinear borders, compact data about speeds of seismic waves as on the vertical and across are necessary, and the new way of definition of effective speed is offered. The equation analysis of reflected wave hodograph, received for the mediums characterized by the horizontal gradient of speed, leads to the conclusion that depending on the sign, on the horizontal gradient of speed and of summation can receive as abnormal low and high values. Thus, results of researches show that the adnominal sums are generated as multiple waves and diffraction waves and curvilinear borders and also the horizontal gradient of speed and an interference of waves.