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INVESTIGATION OF FRACTURE BALLOONING-BREATHING USING AN EXPONENTIAL DEFORMATION LAW AND HERSCHEL−BULKLEY FLUID MODEL

Volumen 3, Ausgabe 4, 2012, pp. 341-351
DOI: 10.1615/SpecialTopicsRevPorousMedia.v3.i4.50
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ABSTRAKT

Borehole ballooning-breathing is the term used to describe reversible mud losses and gains during drilling operations. In naturally fractured reservoirs borehole ballooning-breathing caused by opening/closing of natural fractures is the major mechanism of this phenomenon. An accurate model of the fracture-induced ballooning-breathing could provide an aid in mud optimization and improve the well control procedures while drilling in naturally fractured reservoirs. Using this model, the hydraulic aperture of conductive fractures can also be obtained by continuous monitoring of mud losses and gains. This paper first discusses the previous models of fracture ballooning in detail. Then a new model is developed for radial flow of mud with yield-power-law (Herschel−Bulkley) rheology in a single isolated deformable horizontal circular fracture. In this model, exponential deformation law is used for fracture deformation, which is more realistic than the simplified linear deformation law. This model is also developed for both fracture ballooning and breathing phenomena. From the developed model it is concluded that cumulative loss in the case of exponential deformations is less than that of linear deformation during fracture ballooning. This difference is due to pressure distribution in both cases. The pressure builds up faster for exponential deformation due to higher transmissibility of the fracture. The general solution for exponential deformation law in dimensionless coordinates is also presented in the form of mud loss curves for ballooning process. Shortcomings of the developed modeling approach are outlined.

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