Methods of treating subterranean formations using low-temperature fluids
a technology of subterranean formations and low-temperature fluids, which is applied in the direction of fluid removal, insulation, and borehole/well accessories, etc., can solve the problems of increased costs, reduced viscosity of highly viscous gelled and crosslinked fluids, and inability to thermally stable fracture fluids
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[0039] A hypothetical example may further illustrate certain aspects of the present invention. This example assumes perfect heat transfer from the low-temperature fluid to the formation. The following definitions are pertinent to this example: [0040] Cp Compressibility of the formation to be fractured [0041] Ct Coefficient of thermal expansion of the formation to be fractured [0042] V Volume of formation over which the temperature was reduced [0043] Tf Original formation temperature before the treatment operation [0044]ΔV Change in formation volume V during the treatment operation [0045]ΔP Change in pressure due to change in volume of the formation during the treatment operation [0046]ΔTf Change in formation temperature due to contact between the formation volume V and the low-temperature fluid during the treatment operation [0047] Tci Thermal capacitance of low-temperature-fluid [0048] Tcf Thermal capacitance of formation [0049]Φ Porosity of formation [0050] Ti Temperature of injec...
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