摘要 |
Prior to a hydraulic fracturing treatment, the requisite injection rate for a desired propped fracture length of a fracture may be estimated with knowledge of certain physical properties of the proppant and transport fluid such as fluid viscosity, proppant size and specific gravity of the transport slurry as well as fracture geometry and the fracture length. The requisite injection rate may be determined for the desired propped fracture length of the fracture, DPST, in accordance with Equation (I): (qi)=[1/(DPST)B]×[(1/A)×CTRANS×(d2prop)×(1/μfluid)×(&Dgr;SGPS)]  (I) wherein: A is the multiplier and B is the exponent from the Power Law equation of velocity of the transport slurry vs. distance for the fracture geometry; CTRANS is the transport coefficient; dprop is the median proppant diameter, in mm.; μfluid is the apparent viscosity of the transport fluid, in cP; and &Dgr;SGPS is SGprop−SGfluid, SGprop being the specific gravity of the proppant and SGfluid being the specific gravity of the transport fluid; The minimum horizontal flow velocity, MHVST, for transport of the transport slurry based upon the terminal settling velocity of the proppant, Vt, may be determined in accordance with Equation (II): MHVST,=Vt×10   (II)
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