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SPECIAL SECTION: FRACTALS

Effects of Fractal Fracture Surface Roughness on Borehole Ballooning

Univ. of Alberta, 3-133 Markin CNRL- NREF, Edmonton, AB, Canada, T6G 2W2
^* Corresponding author (tayfun{at}ualberta.ca).

Received 21 November 2007.

Borehole ballooning or breathing is commonly observed during drilling through fractured zones. It refers to small, partial, and continuous mud losses and significant rapid mud gains due to annular pressure fluctuations resulting from mud circulation and noncirculation. Better understanding of the factors controlling borehole ballooning and breathing is needed for correct interpretation of the symptoms observed while drilling and to avoid mixing this phenomenon with lost circulation and well kicks. We have developed a two-dimensional transient model of borehole ballooning or breathing. The model considers the effects of Newtonian fluid rheology, and fracture roughness on the fracture volume change as a function of transient wellbore pressure fluctuations inherent in typical drilling operations. Different types of fracture surface roughness that are commonly observed in sedimentary rocks and the degree of roughness identified by a wide variety of fractal dimensions were considered. The model was solved numerically to investigate the effects of fractures' natural geologic properties (fracture roughness, fracture width, and fracture grid size) on the fluid loss and gain rate between the borehole and the fractured formation. Analyses of the importance of fracture roughness and nonlinear deformation approximations were provided and situations were identified where the roughness starts to become an effective parameter in the process. Rough fractures yielded lower values of fluid loss rate than smooth fractures even though they had the same average aperture. The observations suggested that the scale used in data collection and generating fracture surfaces and apertures is a critical point. Increasing fracture aperture to twice its original value diminished the effects of fracture surface roughness on borehole ballooning.

Abbreviations: ECD, equivalent circulating density • fBm, fractional Brownian motion

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