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reservoir geomecanics

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246 Reservoir geomechanics<br />

a.<br />

s min<br />

b. c.<br />

160<br />

180<br />

∆P = 0<br />

∆P = 15MPa<br />

140<br />

w<br />

120<br />

100<br />

80<br />

60<br />

s tmin<br />

40<br />

20<br />

0<br />

−20<br />

0<br />

0 90 q t 180 270 360<br />

q t q t<br />

Figure 8.7. Theoretical illustration of the manner of formation of en echelon drilling-induced<br />

tensile fractures in a deviated well. (a) The fracture forms when σ tmin is tensile. The angle the<br />

fracture makes with the axis of the wellbore is defined by ω, which, like σ tmin varies around the<br />

wellbore. (b) The en echelon fractures form over the angular span θ t , where the wellbore wall is in<br />

tension. (c) Raising the mud weight causes the fractures to propagate over a wider range of angles<br />

because σ tmin is reduced around the wellbore’s circumference.<br />

grows, σ tmin becomes compressive. Raising the wellbore pressure (Figure 8.7c) allows<br />

the fracture to propagate further around the wellbore because the σ tmin is decreased<br />

by the amount of P, thus increasing the angular span (θ t ), where tensile stress are<br />

observed around the wellbore circumference.<br />

Confirming that S Hmax and S hmin are principal stresses<br />

Drilling-induced tensile fractures were ubiquitous in the KTB pilot hole and main<br />

borehole. As mentioned above, along most of the well path, the tensile fractures are<br />

axial. As this is a near-vertical borehole, it indicates that there is a near-vertical principal<br />

stress. However, in a few sections of the wellbore, the state of stress is locally perturbed<br />

by slip on faults and is rotated away from a horizontal and vertical orientation (Brudy,<br />

Zoback et al. 1997). Over the entire depth interval studied in detail in the KTB boreholes<br />

(from ∼ 1kmto∼8kmdepth), axial drilling-induced tensile fractures indicate that one<br />

principal stress is nearly always vertical and the cases where this is not true is limited<br />

to zones of locally anomalous stress (Brudy, Zoback et al. 1997). Near vertical drillinginduced<br />

tensile fractures were observed to ∼7 kmdepth in the Siljan wells drilled<br />

in Sweden (Lund and Zoback 1999). A similar situation was encountered by Wiprut,<br />

Zoback et al.(2000) who documented both axial and en echelon fractures in a suite of<br />

five oil wells in the Visund field of the northern North Sea. While the stress field is wellcharacterized<br />

by a near-vertical and two horizontal principal stresses, there are zones

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