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Open image in new window Fig. 3 Minimum mud pressure verses depth for a vertical borehole.
The results showed that the Mohr Coulomb and Tresca criteria estimate the highest minimum mud pressure required for wellbore stability while the Mogi Coulomb and the Modified Lade criteria estimate the lowest minimum mud pressure.
The estimated values by Tresca were relatively more than actual used, and overestimates the minimum mud pressure.
Genetic algorithm (GA) was applied as a main optimization engine that employs proportional feedback controller to obtain the minimum mud pressure required (MMPR).
As illustrated in Fig. 5a, the minimum mud pressure at which fracture will occur is 68.51 MPa at azimuth of 0° and 180°.
The minimum mud pressure predicted by the Mohr Coulomb, the Mogi Coulomb, the Modified-Lade, and the Tresca criteria accompanying mechanical/stress properties is shown in Fig. 3.
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The critical (minimum) mud pressures, predicted by the current elastoplastic analysis based on different wellbore instability criteria, are compared with the value corresponding to the elastic theory.
The modified Lade, Mogi Coulomb criteria predict the minimum mud pressures that are close to each other and near the Mohr Coulomb criterion.
As illustrated in Fig. 3, the distance between predicted minimum mud pressures by the Modified-Lade, the Mogi Coulomb, the Mohr Coulomb, and the Tresca criteria increases gradually with increasing drilling depth that are equal to 107.33, 111.8, 114.09 and 143 MPa, respectively, at the depth of 8,000 m.
For this to be achieved, the minimum allowable mud pressure must be greater than the formation pore pressure.
For permeable formations, the minimum allowable mud pressure should also prevent an inflow of the reservoir fluid.
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