Deriving shape factor in analytical models for flow in double-porosity media is partially empirical. This study proposes a new flow equation and new shape factor for matrixes without empirical derivations in considering the problem of the standard pumping test in double-porosity confined aquifers. For a single fracture-strip matrix medium, a new analytical model incorporating the new flow equation and new shape factor is developed; the analytical solution is derived. For a fracture network-matrix medium, a finite element solution depending on the new flow equation and new shape factor is built without discretizing the space in each matrix. Results show the shape factor for the strip matrix is the reciprocal of the square of the matrix width, for the circular matrix is the reciprocal of the square of the radius, but for other shapes of matrix is an empirical parameter. The relative error of the fracture drawdown predicted by the analytical solution with the new shape factor is less than 5%. The relative error considering existing shape factors is, however, about 99%. When the ratio of the fracture area to the total medium area (defined as fracture density) exceeds 62%, the fracture networkmatrix medium can be regarded as a double-porosity continuous medium. The finite element solution has applied to a field standard pumping test.