A method and apparatus for determining a stress field in a subterranean formation include deploying a stress measurement tool on a tubular string, opening at least three fractures in three different radial directions in the subterranean formation, and closing the at least three fractures. The at least three fractures are reopened while measuring stress and strain conditions. From the reopening, a tangential stress component for each of the at least three fractures is determined. From the tangential stress components and radial directions of the at least three fractures, the stress field of the subterranean formation is determined.