At present, in order to resolve problems of ecology and to save
mineral resources for future population generations, it is quite
necessary to know how to maintain nature arrangement in an
efficient way. It is possible to achieve a rational nature
arrangement when analyzing solutions to problems concerned with
optimal control of distributed systems and with optimization of
modes in which main ground medium processes are functioning (motion
of liquids, generation of temperature fields, mechanical
deformation of multicomponent media). Such analysis becomes even
more difficult because of heterogeneity of the region that is
closest to the Earth surface, and thin inclusions/cracks in it
exert their essential influence onto a state and development of the
mentioned processes, especially in the cases of mining. Many
researchers, for instance, A.N. Tikhonov - A.A. Samarsky [121], L.
Luckner - W.M. Shestakow [65], Tien-Mo Shih, K.L. Johnson [47], E.
Sanchez-Palencia [94] and others stress that it is necessary to
consider how thin inclusions/cracks exert their influences onto
development of these processes, while such inclusions differ in
characteristics from main media to a considerable extent (moisture
permeability, permeability to heat, bulk density or shear strength
may be mentioned). Xll An influence exerted from thin interlayers
onto examined processes is taken into account sufficiently
adequately by means of various constraints, namely, by the
conjugation conditions [4, 8, 10, 15, 17-20, 22-26, 38, 44, 47, 52,
53, 68, 76, 77, 81, 83, 84, 90, 95, 96-100, 112-114, 117, 123].
General
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