b) You are analysing the stresses around a vertical borehole which is part of a hydrofracture...
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b) You are analysing the stresses around a vertical borehole which is part of a hydrofracture experiment. You are particularly concerned about stability of the borehole at a depth of 1500 m due to a weak material layer at that depth. Far- field stress at 1500 m (prior to drilling) has been determined - 01 is vertical and can be calculated from the weight of the rock above based on an average rock density of 2700 kg/m³ and g = 10 m/s²; 02 is in the x-direction with a k-ratio of 0.6; 03 is in the y-direction with a k-ratio of 0.4. The rock at that depth is sandstone with a UCS of 50 MPa, and tensile strength of 5 MPa. i) Sketch the borehole showing the far-field stress state (directions and values for all 3 principal stresses) ii) Consider a small cube at the borehole wall at the position of highest horizontal stress. Sketch this position and calculate all three (local) principal stresses for this cube. iii) Evaluate whether brittle failure is expected in this cube. [13 marks] b) You are analysing the stresses around a vertical borehole which is part of a hydrofracture experiment. You are particularly concerned about stability of the borehole at a depth of 1500 m due to a weak material layer at that depth. Far- field stress at 1500 m (prior to drilling) has been determined - 01 is vertical and can be calculated from the weight of the rock above based on an average rock density of 2700 kg/m³ and g = 10 m/s²; 02 is in the x-direction with a k-ratio of 0.6; 03 is in the y-direction with a k-ratio of 0.4. The rock at that depth is sandstone with a UCS of 50 MPa, and tensile strength of 5 MPa. i) Sketch the borehole showing the far-field stress state (directions and values for all 3 principal stresses) ii) Consider a small cube at the borehole wall at the position of highest horizontal stress. Sketch this position and calculate all three (local) principal stresses for this cube. iii) Evaluate whether brittle failure is expected in this cube. [13 marks]
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Related Book For
South Western Federal Taxation 2016 Comprehensive
ISBN: 9781305395114
39th edition
Authors: James H. Boyd, William H. Jr. Hoffman, David M. Maloney, William A. Raabe, James C. Young
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