The analytical solution to the diffusivity equation for an infinite two-layered reservoir with a vertical fracture is obtained for the case where the initial pressure of each layer is unequal.

The equations derived in this method are used to determine the length of the fracture of the two zones, if the initial pressure of each layer is known. Additionally, this analysis determines the reservoir parameters of vertically fractured reservoir.

The solution of the diffusivity equation for this study with the proper boundary conditions for an infinite two-layered system with a vertical fracture is given in the  Appendix.

Keywords:
production control, Drillstem Testing, fracture length, initial pressure, hydraulic fracturing, fracture penetration, pressure drop, Reservoir Surveillance, drillstem/well testing, vertical fracture
Subjects:
Hydraulic Fracturing, Well & Reservoir Surveillance and Monitoring, Formation Evaluation & Management, Drillstem/well testing
Copyright 1980, American Institute of Mining, Metallurgical, and Petroleum Engineers, Inc.
You can access this article if you purchase or spend a download.