caa a22 4500 469101385 CHVBK 20180323133045.0 cr unu---uuuuu 170328e19920301xx s 000 0 eng 10.1007/BF01052089 doi (NATIONALLICENCE)springer-10.1007/BF01052089 Gordeev Yu Moscow aut Self-similar problems of propagation of an extended hydrofracture in a permeable medium [Elektronische Daten] [Yu. Gordeev] The propagation of an extended hydrofracture in a permeable elastic medium under the influence of an injected viscous fluid is considered within the framework of the model proposed in [1, 2]. It is assumed that the motion of the fluid in the fracture is turbulent. The flow of the fluid in the porous medium is described by the filtration equation. In the quasisteady approximation and for locally one-dimensional leakage [3] new self-similarity solutions of the problem of the hydraulic fracture of a permeable reservoir with an exponential self-similar variable are obtained for plane and axial symmetry. The solution of this two-dimensional evolution problem is reduced to the integration of a one-dimensional integral equation. The asymptotic behavior of the solution near the well and the tip of the fracture is analyzed. The difficulties of using the quasisteady approximation for solving problems of the hydraulic fracture of permeable reservoirs are discussed. Other similarity solutions of the problem of the propagation of plane hydrofractures in the locally one-dimensional leakage approximation were considered in [3, 4] and for leakage constant along the surface of the fracture in [5-7]. Plenum Publishing Corporation, 1992 Fluid Dynamics Kluwer Academic Publishers-Plenum Publishers 27/2(1992-03-01), 221-229 0015-4628 27:2<221 1992 27 10697 https://doi.org/10.1007/BF01052089 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01052089 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Gordeev Yu Moscow aut NATIONALLICENCE 773 0- Fluid Dynamics Kluwer Academic Publishers-Plenum Publishers 27/2(1992-03-01), 221-229 0015-4628 27:2<221 1992 27 10697 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer