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Well Testing Analysis
(Hydraulic Fractured Wells)
2023
Hesham Mokhtar Ali
Senior Reservoir Engineer
in/heshammokhtarali/
Fractured Wells
• Reasons:
 Bypass near-wellbore damage.
 Extend a conductive path deep into a formation and thus increase productivity.
 Minimize the drawdown.
• To fracture, pump fluid against higher resistance, so that the bottom hole pressure rises above the
fracture gradient of the formation.
• Vertical fractures are characterized by the following properties:
• Fracture half-length xf , ft
• Fracture permeability kf , mD
• Fracture width wf , ft
• Fracture conductivity FC, kfwf
Reservoir permeability, k
Wellbore
Fracture half length, Xf
Fracture permeability, kf
Fracture
width, wf
Hydraulic Propped Fracturing – Overview
• Create high conductive
path between the
reservoir and the
wellbore.
Initiate Fracture Propagate Fracture
Placing Proppant Flowback Idealized View of Induced Fracture
Typical pressure response during DFIT
Pumping
Before-closure
After-closure
Net Fracture Pressure (NFP)
• Instantaneous Shut-in Pressure (ISIP) is the pressure at
sand face when friction removed.
• Net fracture pressure, Pnet = ISIP - closure P
• Pnet controls fracture width and height.
Effect of net pressure on the
fracture propagation
Typical Minifrac Injection Test
Fracture Shape & Dimensions
• Hydraulic fracturing is the process of using hydraulic
pressure to create an artificial fracture in a reservoir.
• The fracture grows in length, height and width by
pumping a mixture of fluid and proppant at high
pressure.
• W= the fracture width
• Xf= the fracture penetration or half-length
• Hf= Fracture Height
7
Fracture Models
• There are 2 basic fracture models:
• High or “Infinite Conductivity”: the pressure drop along the inside of the fracture is negligible
• Infinite-Conductivity Fracture:
• Assumes NO pressure drop along the fracture.
• Uniform Flux Fracture:
• Assumes a uniform production per unit length of fracture.
• Low or “Finite conductivity”: the pressure drop along the fracture is significant.
Flow Regimes In Fractured Wells
Fracture Linear Flow
Bilinear Flow
Formation Linear Flow
Well
Fracture
Well
Fracture
Well
Fracture
 Fracture linear flow:
 Initially, the flow is only through fractures
 Never observed in practice in case of high WBS.
 Fracture bilinear flow:
 The pressure front extends both linearly along the fracture and linearly
into the reservoir close to the fracture.
 Formation linear flow:
 The pressure front moves linearly out from the fracture into the reservoir.
 Formation radial flow
 The flow is IARF.
Pseudoradial Flow
Flow Regimes In Fractured Wells
  2
1
2
1
2
1
t
m
t
b
t
m
t
t
p
t L
L
L








• Pressure & derivative have slope of 1/2 (separated by a
factor of 2.
4
1
2
1
1
1
.
44


















k
c
t
wk
h
qB
p
t
f 

• Derivative:
  4
1
4
1
4
1
t
m
t
b
t
m
t
t
p
t B
B
B








• Pressure & derivative have slope of 1/4 (Separated by a
factor of 4.
Fracture linear flow: Infinite conductivity fracture
Fracture bi-linear flow: Finite conductivity fracture
Infinite-Conductivity Fracture Model
• The linear flow is characterized by a pressure
change proportional to the root of time:
• On a loglog plot, the linear flow is characterized
by a ½ -unit slope in both the pressure and
derivative curves.
• The derivative is lower than the pressure, this
shift corresponding to a factor 2 on a linear
scale.
Finite-Conductivity Fracture Model
• It represents the time at which the pressure drop
along the fracture is significant.
• Even with no storage, the data does not exhibit a 1/4-
unit slope, and can be matched on a high-
conductivity fracture type-curve with an immediate
1/2-unit slope.
• Generally, the fracture model must surely be finite-
conductivity fracture, as there must always be a
pressure drop along the fracture
• FCD, the dimensionless fracture conductivity, considers
the fracture width (w) and the fracture permeability (kf)
and is compared to ‘kh’.
Sensitivity Analysis
• Multiplying the permeability by 100 will:
• Shift the stabilization of the derivative down 2 log cycles.
• The half slope of the linear flow will only be shifted down 1 log cycle.
Sensitivity to Xf Sensitivity to kh
Fractured Well: Infinite Conductivity
• It shows the
behavior of the
linear and bilinear
flow,
• Liner derivative
stabilizes across
the fracture-related
floe regimes.
Hesham Mokhtar
Hesham Mokhtar
Hesham
Mokhtar
Hesham
Mokhtar
Hesham
Mokhtar
Hesham Mokhtar

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Hydraulic Fracturing .pdf

  • 1. Well Testing Analysis (Hydraulic Fractured Wells) 2023 Hesham Mokhtar Ali Senior Reservoir Engineer in/heshammokhtarali/
  • 2. Fractured Wells • Reasons:  Bypass near-wellbore damage.  Extend a conductive path deep into a formation and thus increase productivity.  Minimize the drawdown. • To fracture, pump fluid against higher resistance, so that the bottom hole pressure rises above the fracture gradient of the formation. • Vertical fractures are characterized by the following properties: • Fracture half-length xf , ft • Fracture permeability kf , mD • Fracture width wf , ft • Fracture conductivity FC, kfwf Reservoir permeability, k Wellbore Fracture half length, Xf Fracture permeability, kf Fracture width, wf
  • 3. Hydraulic Propped Fracturing – Overview • Create high conductive path between the reservoir and the wellbore. Initiate Fracture Propagate Fracture Placing Proppant Flowback Idealized View of Induced Fracture Typical pressure response during DFIT Pumping Before-closure After-closure
  • 4. Net Fracture Pressure (NFP) • Instantaneous Shut-in Pressure (ISIP) is the pressure at sand face when friction removed. • Net fracture pressure, Pnet = ISIP - closure P • Pnet controls fracture width and height. Effect of net pressure on the fracture propagation
  • 6. Fracture Shape & Dimensions • Hydraulic fracturing is the process of using hydraulic pressure to create an artificial fracture in a reservoir. • The fracture grows in length, height and width by pumping a mixture of fluid and proppant at high pressure. • W= the fracture width • Xf= the fracture penetration or half-length • Hf= Fracture Height 7
  • 7. Fracture Models • There are 2 basic fracture models: • High or “Infinite Conductivity”: the pressure drop along the inside of the fracture is negligible • Infinite-Conductivity Fracture: • Assumes NO pressure drop along the fracture. • Uniform Flux Fracture: • Assumes a uniform production per unit length of fracture. • Low or “Finite conductivity”: the pressure drop along the fracture is significant.
  • 8. Flow Regimes In Fractured Wells Fracture Linear Flow Bilinear Flow Formation Linear Flow Well Fracture Well Fracture Well Fracture  Fracture linear flow:  Initially, the flow is only through fractures  Never observed in practice in case of high WBS.  Fracture bilinear flow:  The pressure front extends both linearly along the fracture and linearly into the reservoir close to the fracture.  Formation linear flow:  The pressure front moves linearly out from the fracture into the reservoir.  Formation radial flow  The flow is IARF. Pseudoradial Flow
  • 9. Flow Regimes In Fractured Wells   2 1 2 1 2 1 t m t b t m t t p t L L L         • Pressure & derivative have slope of 1/2 (separated by a factor of 2. 4 1 2 1 1 1 . 44                   k c t wk h qB p t f   • Derivative:   4 1 4 1 4 1 t m t b t m t t p t B B B         • Pressure & derivative have slope of 1/4 (Separated by a factor of 4. Fracture linear flow: Infinite conductivity fracture Fracture bi-linear flow: Finite conductivity fracture
  • 10. Infinite-Conductivity Fracture Model • The linear flow is characterized by a pressure change proportional to the root of time: • On a loglog plot, the linear flow is characterized by a ½ -unit slope in both the pressure and derivative curves. • The derivative is lower than the pressure, this shift corresponding to a factor 2 on a linear scale.
  • 11. Finite-Conductivity Fracture Model • It represents the time at which the pressure drop along the fracture is significant. • Even with no storage, the data does not exhibit a 1/4- unit slope, and can be matched on a high- conductivity fracture type-curve with an immediate 1/2-unit slope. • Generally, the fracture model must surely be finite- conductivity fracture, as there must always be a pressure drop along the fracture • FCD, the dimensionless fracture conductivity, considers the fracture width (w) and the fracture permeability (kf) and is compared to ‘kh’.
  • 12. Sensitivity Analysis • Multiplying the permeability by 100 will: • Shift the stabilization of the derivative down 2 log cycles. • The half slope of the linear flow will only be shifted down 1 log cycle. Sensitivity to Xf Sensitivity to kh
  • 13. Fractured Well: Infinite Conductivity • It shows the behavior of the linear and bilinear flow, • Liner derivative stabilizes across the fracture-related floe regimes.