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We developed an inversion technique to determine in situ stresses for elliptical boreholes of arbitrary trajectory.In this approach,borehole geometry,drilling-induced fracture information,and other available leak-off test data were used to construct a mathematical model,which was in turn applied to finding the inverse of an overdetermined system of equations.The method has been demonstrated by a case study in the Appalachian Basin,USA.The calculated horizontal stresses are in reasonable agreement with the reported regional stress study of the area,although there are no field measurement data of the studied well for direct calibration.The results also indicate that 2% of axis difference in the elliptical borehole geometry can cause a 5% difference in minimum horizontal stress calculation and a 10% difference in maximum horizontal stress calculation.