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Craft and Hawkins Vertical Well Critical Coning Rate Calculator

qo=0.007078koh(pwspwf)μoBoln(re/rw)PRq_o=\frac{0.007078k_oh(p_{ws}-p_{wf})}{\mu_oB_o\ln(r_e/r_w)}PR

Enter the required inputs, confirm the units, and run the calculator to solve q_o. Review the formula source and assumptions before using the result in engineering work.

Tabular solver

Inputs

Defaults provide a quick field-unit example for the equation.

9 variables

Your input values and calculation stay in this browser.

Engineering reference summary

Calculation context and source notes

Craft and Hawkins Vertical Well Critical Coning Rate calculates critical oil rate without coning for well performance workflows in reservoir engineering. The page keeps the declared variables, units, source relationship, and output definition visible for technical review.

Use this formula when the listed inputs (b, r_w, h, k_o, p_ws, p_wf, mu_o, B_o, r_e) are known and the assumptions behind the cited well performance relationship match the engineering case being checked.

Solves for

q_o (STB/day)

Formula reference

Formula, variables, and default calculation

qo=0.007078koh(pwspwf)μoBoln(re/rw)PRq_o=\frac{0.007078k_oh(p_{ws}-p_{wf})}{\mu_oB_o\ln(r_e/r_w)}PR

Reproducible default result

With the default values shown below, the calculation returns q_o = 643.734212 STB/day. Defaults demonstrate the implementation; they are not recommended field values.

bdimensionless

0.5

r_wft

0.328

hft

50

k_omD

100

p_wspsi

3000

p_wfpsi

2500

mu_ocP

2

B_oRB/STB

1.2

r_eft

1000

Input definitions

b

dimensionless

Penetration Ratio, h_p / h

r_w

ft

Wellbore Radius

h

ft

Oil Column Thickness

k_o

mD

Effective Oil Permeability

p_ws

psi

Static Well Pressure at Producing Interval Midpoint

p_wf

psi

Flowing Well Pressure at Producing Interval Midpoint

mu_o

cP

Oil Viscosity

B_o

RB/STB

Oil Formation Volume Factor

r_e

ft

Drainage Radius

Output definitions

q_o

STB/day

Critical Oil Rate without Coning

PR

dimensionless

Productivity Ratio

k_o

mD

Effective Oil Permeability

p_ws

psi

Static Well Pressure at Producing Interval Midpoint

p_wf

psi

Flowing Well Pressure at Producing Interval Midpoint

Engineering use, assumptions, and limits

Use this formula when the listed inputs (b, r_w, h, k_o, p_ws, p_wf, mu_o, B_o, r_e) are known and the assumptions behind the cited well performance 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.

Frequently asked questions

What inputs does the Craft and Hawkins Vertical Well Critical Coning Rate calculator need?

The calculation uses Penetration Ratio, h_p / h (b), Wellbore Radius (r_w), Oil Column Thickness (h), Effective Oil Permeability (k_o), Static Well Pressure at Producing Interval Midpoint (p_ws), Flowing Well Pressure at Producing Interval Midpoint (p_wf), Oil Viscosity (mu_o), Oil Formation Volume Factor (B_o), Drainage Radius (r_e). Enter values on the units shown beside each field.

What result does this calculator return?

The primary result is critical oil rate without coning in STB/day. The formula section shows the declared relationship, variables, and a reproducible default calculation.

What should I check before using the result?

Confirm the unit basis, source applicability, and input quality. The calculation does not replace a full engineering model or operating procedure. Mixing unit systems without converting the inputs.

Source and record status

Source metadata identifies the relationship implemented by the calculator. Check the cited edition, unit basis, and scope against the engineering case before operational use.

reviewedguidance published

Joshi, S.D. 1991. Horizontal Well Technology, Chapter 8, vertical-well critical-rate correlations.

Open source reference

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