Determination of the stress state on the wall of a wellbore in an anisotropic formation is a challenging issue in oil and gas industry. This tool provides analytical solutions, with plane strain assumption, of the effective radial and ortho-radial stresses on the wall of a horizontal wellbore which is located in a vertical transversely isotropic porous medium (Jaeger et al.,2009; Suárez-Rivera et al., 2011; Do et al., 2017). The wellbore is subjected at far-field total vertical and horizontal stresses σV and stress σH, respectively, and a pore pressure Ppore while on the borehole wall (that can be permeable or impermeable) a fluid pressure Pmud is applied. The effective stress is calculated from the Biot's theory. For the case of permeable borehole wall, flow around the wellbore is considered in the steady state condition.
Jaeger, J. C., Cook, N. G., & Zimmerman, R. (2009). Fundamentals of rock mechanics. John Wiley & Sons.
Suarez-Rivera, R., Deenadayalu, C., Chertov, M., Hartanto, R. N., Gathogo, P., & Kunjir, R. (2011, January). Improving Horizontal Completions on Heterogeneous Tight-Shales. In Canadian Unconventional Resources Conference. Society of Petroleum Engineers.
Do, D. P., Tran, N. H., Hoxha, D., & Dang, H. L. (2017). Assessment of the influence of hydraulic and mechanical anisotropy on the fracture initiation pressure in permeable rocks using a complex potential approach. International Journal of Rock Mechanics and Mining Sciences, 100, 108-123.