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The minimum principle stress around the vertical well is illustrated in Fig. 10.
The obtained results for horizontal drilling parallel to both maximum and minimum principle stress are nearly similar to each other.
The maximum principle stress axis (σ1) before the 2011 Tokohu earthquake switched to the minimum principle stress axis (σ3).
On the contrary, if one substitutes the maximum and minimum principle stress into Eq. 15 when the collapse occurs, then the critical drilling mud density which maintains the wellbore stability, known as collapse pressure, can be obtained.
In addition, drilling safety tests, such as formation integrity tests (FIT), and the reports of cementation jobs revealed borehole pressure data indicating the lower bound of the minimum principle stress magnitude.
Hydraulic fractures are generated using a fluid which needs pumping equipment on the top of the well, and the result is usually in the form of two fractures perpendicular to the minimum principle stress orientation.
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The highest minimum principle stresses belong to Tresca criterion that is equal to 51 MPa.
Table 3 shows the maximum displacement, maximum and minimum principle stresses created by Tresca, Mohr Coulomb, Mogi Coulomb, and modified-Lade.
As depicted in Figs. 8, 9, 10, the displacements, maximum and minimum principle stresses around the well generated by the Mohr Coulomb, Mogi Coulomb, modified Lade criteria, and the actual drilling mud pressures are very close to each other since there is a little difference between the predicted pressures.
In Yalova Çınarcık area, the P-axes oriented E W are in parallel with the maximum compressive stress axis, while the T-axes oriented N S are close to the orientation of the minimum principle compressive stress (Fig. 11).
The minimum horizontal principle stress is 75 80 MPa, and natural fractures are not abundant.
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