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Treatment Fracture Gradient - Hydraulic Fracturing Formula

Gf=Pinj+ΔPhΔPfΔPpDG_f=\frac{P_{inj}+\Delta P_h-\Delta P_f-\Delta P_p}{D}

Treatment Fracture Gradient - Hydraulic Fracturing calculates treatment fracture gradient for hydraulic fracturing workflows in production engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (P_inj, DeltaP_h, DeltaP_f, DeltaP_p, D) are known and the assumptions behind the cited hydraulic fracturing relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, G_f equals 0.6875 psi/ft.

P_injpsi

3000

DeltaP_hpsi

3500

DeltaP_fpsi

800

DeltaP_ppsi

200

Dft

8000

Inputs

P_inj

psi

Injection Pressure

DeltaP_h

psi

Hydrostatic Pressure Change

DeltaP_f

psi

Friction Pressure Loss

DeltaP_p

psi

Perforation Pressure Loss

D

ft

Depth

Outputs

G_f

psi/ft

Treatment Fracture Gradient

P_inj

psi

Injection Pressure

DeltaP_h

psi

Hydrostatic Pressure Change

DeltaP_f

psi

Friction Pressure Loss

DeltaP_p

psi

Perforation Pressure Loss

D

ft

Depth

Source and review

reviewed

Saydam, T. 1967. Principles of Hydraulic Fracturing. ARI Publishing Co., Page 25.

Source

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