Closed-form solution for determination of pore pressure field around horizontal wellbore

Wellbores are usually located in saturated geological layers. The determination of pore water pressure field around the wellbore is necessary during design calculation and drilling stages. This paper presents analytical approach to determine a horizontal at deep layer that exhibits heterogeneous, isotropic or transversely behavior. Thus, considered be an infinite medium. well wall, equal mud pressure, together with infinity assumed constant. closed-form solutions based on theory fluid transport porous medium conformal mapping technique complex variable method. established condition transient flow for case steady state accuracy validated by numerical finite element obtained can used as tools quickly accurately wellbore, which serves evaluate stability wall preliminary amount inflow into it. Furthermore, also reference reliability models.