This work provides an efficient algorithm to compute transient pressure res
ponses of inclined wells. The solution is derived in the Laplace domain and
cast into computationally efficient forms for all inclination angles. The
algorithm allows the computation of pressures and derivatives at the wellbo
re as well as at observation points. Short- and long-time approximations fo
r the evaluation of pressure responses are also provided. The long-time app
roximation is used to derive a general pseudoskin expression that is applic
able for all inclination angles. Example computations are presented in the
forms of tables and figures to display the efficacy, accuracy, and the prac
tical use of the algorithm.