Разрешающая способность метода осреднения и статистического обращения для идентификации макро- и микроструктуры среды

Abstract

Let us consider the problem of resolution of the method of averages and statistical inversion methodfor the identification of macro- and microstructure of a medium. The quality of identification is essentially affected by the distribution of the sources of detecting emission and the receivers of dispersed field. These problems are wide investigated in many papers. We will restrict our consideration by the problem the influence of the values used in the method of averages on the accuracy ofunhomogenious medium structure reconstruction. According to the method of averages the identified function can be written as follows e(x) = e*-f-e', where g* is the effective wave operator containing the information about the integrated properties of medium structure and arefluctuations characterizing local individual properties of given realization. The information aboutfield correlation function £(x) contains a good deal ofinfonnation about the local properties ofrealization e(x) .• differentiability, structure regularity or irregularity, as well as about average dispersion of amplitudes and average scale of fluctuations.