Distinctive Flow Regions in Crossform Fracture Model in Shale Gas Reservoir Using Numerical Density Derivative Part 3

Abstract

This paper introduces a new mathematical model for interpreting pressures behavior of a vertical well with crossform fracture in shale gas reservoir using numerical density approach. The hydraulic fractures in this case can be longitudinal and transverse but symmetrical to a reference point. The major advantage is that it simplified the complex fracture-matrix flow model applying ordinary Laplace Transform Model OLTM to formulate Linear, Bilinear and Trilinear flow model. Result depicts that a new flow region have been added with the first as the linear flow region which represents the linear flow in the vertical plane parallel into the wellbore and the second as the Bilinear or Trilinear flow region which represents the linear flow in the vertical plane parallel to the wellbore and also into the fracture after the pressure pulse reaches the upper and lower impermeable boundaries depending on the ratio of primary and secondary crossform fracture length and conductivities. Also in this paper, it has been demonstrated that for constant rate solution, the smaller the fracture aperture, the reduction in the number of flow regions to be seen.