Formulation of the flow problem in anisotropic porous media using different coordinate transformations

► A coordinate transformation may result in the changes in the local flow geometry and/or the shape of the well or probe. ► Solutions may look different when different transformations are used. ► If the changes in the flow geometry and/or the well shape are included in the solutions, different forms of solutions become the same solution. ► This paper uses the cases of a fully-penetrated vertical well, a horizontal well, and a formation testing probe to discuss the issue.