Theory of Fracking

  • Genady P. CherepanovEmail author


The mathematical problems of hydraulic fracturing (fracking) for the oil-and-gas extraction have been just recently solved by the author using invariant integral, complex variables, boundary layers, and his method of functional equations (published in the Royal Proceedings). In the chapter, the shape of the destructed rock volume and the gas/fluid output of the borehole are determined in terms of the geometrical, physical, and instrumental parameters of fracking process for horizontal drilling using thick muds and proppants. Three basic regimes of fracking are studied, including the permeation, non-permeation, and mixed regimes. Also, some new related problems of gas/fluid flow in porous media and of heat flow in cracked materials are effectively solved. This chapter is a “must-to-learn” for those who are engaged in the fracking technology or business.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.MiamiUSA

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