Updated: 2025-12-08
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0214U000072, 0112U000030 , R & D reports
The problems about the deformation of semi-infinite and infinite elastic medium under the action of distributed forces and their application to the study of physical process in rock massif
Khapilova Nelly Sergeevna,
15-01-2014
Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine
The inverse problem of filtration theory on the determination of layer pressures and filtration coefficients of the two gas-bearing strata penetrated one well, is investigated. It is shown, that the in the case of six of measurements of summary debit and the pressure at the wellhead a task may be reduced to solving of a system of three nonlinear equations relatively unknown quantities, associated with the debit of the upper layer. The domain of existence of solutions obtained system of equations is studied. Numerical algorithms for solving of two variants of the inverse problem are constructed, their computer realization is implemented. Analytic solution of the mixed problem of elasticity theory for transversely isotropic strip, lying on an elastic foundation, by the action on the upper boundary of the concentrated force is obtained. Regularities of the displacements distribution inside and on the boundary of a transversely isotropic half-space, lying on an elastic foundation, are established in case, when in a circular area normally applied load of constant intensity acts. Elastoplastic equilibrium of isotropic plane with two identical circular holes by a extent condition of plasticity is investigated in the case, when plane is compressed by steady efforts on along and across the line connecting the centers of openings.
Алтухова Маріанна Леонідівна
Зальотов Владислав Всеволодович
Зенченков Андрій Вікторович
Кодак Наталя Іванівна
Ложкін Володимир Миколайович
Мануйленко Роман Іванович
Марковський Анатолій Іванович
Федотов Сергій Миколайович
2020-04-02
Updated: 2025-12-08
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