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Proppant Settlement Drag Coefficient in Fracture Formula

CD=4(ρpρf)gdpρfvt2C_D=\frac{4(\rho_p-\rho_f)gd_p}{\rho_fv_t^2}

Proppant Settlement Drag Coefficient in Fracture calculates drag coefficient for hydraulic fracturing workflows in production engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (rho_p, rho_f, g, d_p, v_t) 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, C_D equals 1.692847 dimensionless.

rho_plbm/ft^3

165

rho_flbm/ft^3

62.4

gft/s^2

32.174

d_pft

0.002

v_tft/s

0.5

Inputs

rho_p

lbm/ft^3

Proppant Density

rho_f

lbm/ft^3

Fluid Density

g

ft/s^2

Gravity Acceleration

d_p

ft

Proppant Particle Diameter

v_t

ft/s

Terminal Particle Settling Velocity

Outputs

C_D

dimensionless

Drag Coefficient

v_t

ft/s

Terminal Particle Settling Velocity

d_p

ft

Proppant Particle Diameter

Source and review

reviewed

Daneshy, A. 2013. Fundamentals of Hydraulic Fracturing. Daneshy Consultants International, Page 74.

Source

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