Abstract
Hydraulic fracturing stimulation is a common practice in petroleum industry.
The last two decades have witnessed great focusing on this process especially
in North America and more or less attention in the European and Middle East
oil fields. The process typically aims to increase the production recovery from
oil and gas that can’t be produced by conventional techniques. It applies
several hydraulic fractures along the horizontal wellbore that propagate to
different zones in the formation. The success of fracturing process is controlled
by several parameters. Fracture length, height and conductivity are the three
parameters that influence these successes. Proppant Number, defined as the
fracture volume to the reservoir volume, was proposed to judge the fracturing
process performance. Proppant Number might be expressed by fracture
conductivity and the ratio of the fracture length to reservoir width or the
horizontal penetration. A new Proppant Number for multiple hydraulic
fractures intersecting horizontal wellbore is presented in this paper. This
number is determined from the volume of specific fracture and the volume of
the drainage area surrounding the fracture. The new Proppant Number and the
vertical penetration ratio, the ratio of the fracture height to the formation
height, are two critical parameters affecting the productivity index of fractured
formation. A new model for the productivity index of finite reservoirs having
multiple hydraulic fractures has been introduced. This model reflects the
effects of the boundary dominated flow. This paper shows that the productivity
index increases with the increasing of Proppant Number and penetration ratio.
The productivity index increases significantly for the increasing of Proppant
Number when the number of fractures is small and slightly for large number of
fractures. The change in productivity index with the penetration ratio can be
noticed in short fracture lengths for large number of fractures and long
fractures for small number of fractures.
The last two decades have witnessed great focusing on this process especially
in North America and more or less attention in the European and Middle East
oil fields. The process typically aims to increase the production recovery from
oil and gas that can’t be produced by conventional techniques. It applies
several hydraulic fractures along the horizontal wellbore that propagate to
different zones in the formation. The success of fracturing process is controlled
by several parameters. Fracture length, height and conductivity are the three
parameters that influence these successes. Proppant Number, defined as the
fracture volume to the reservoir volume, was proposed to judge the fracturing
process performance. Proppant Number might be expressed by fracture
conductivity and the ratio of the fracture length to reservoir width or the
horizontal penetration. A new Proppant Number for multiple hydraulic
fractures intersecting horizontal wellbore is presented in this paper. This
number is determined from the volume of specific fracture and the volume of
the drainage area surrounding the fracture. The new Proppant Number and the
vertical penetration ratio, the ratio of the fracture height to the formation
height, are two critical parameters affecting the productivity index of fractured
formation. A new model for the productivity index of finite reservoirs having
multiple hydraulic fractures has been introduced. This model reflects the
effects of the boundary dominated flow. This paper shows that the productivity
index increases with the increasing of Proppant Number and penetration ratio.
The productivity index increases significantly for the increasing of Proppant
Number when the number of fractures is small and slightly for large number of
fractures. The change in productivity index with the penetration ratio can be
noticed in short fracture lengths for large number of fractures and long
fractures for small number of fractures.
Keywords
Hydraulic Fracturing; Horizontal Wellbore; Reservoir Performance; Multiple Hydraulic Fractures; Boundary-Dominated Flow ;