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Rawlins-Schellhardt Deliverability Exponent from Two Test Points Formula

nRS=ln(qg2/qg1)ln(Δp22/Δp12)n_{RS}=\frac{\ln(q_{g2}/q_{g1})}{\ln(\Delta p_2^2/\Delta p_1^2)}

Rawlins-Schellhardt Deliverability Exponent from Two Test Points calculates rawlins-schellhardt deliverability exponent for inflow performance workflows in production engineering.

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How engineers use this formula

Use this formula when the listed inputs (q_g1, q_g2, delta_p2_1, delta_p2_2) are known and the assumptions behind the cited inflow 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.

Default example

Using the default inputs, n_rs equals 0.8 dimensionless.

q_g1MSCF/day

57.38114998740225

q_g2MSCF/day

89.78415232709284

delta_p2_1psi^2

4000000

delta_p2_2psi^2

7000000

Inputs

q_g1

MSCF/day

Gas Flow Rate at Test Point 1

q_g2

MSCF/day

Gas Flow Rate at Test Point 2

delta_p2_1

psi^2

Pressure-Squared Drawdown at Test Point 1

delta_p2_2

psi^2

Pressure-Squared Drawdown at Test Point 2

Outputs

n_rs

dimensionless

Rawlins-Schellhardt Deliverability Exponent

q_g1

MSCF/day

Gas Flow Rate at Test Point 1

q_g2

MSCF/day

Gas Flow Rate at Test Point 2

delta_p2_1

psi^2

Pressure-Squared Drawdown at Test Point 1

delta_p2_2

psi^2

Pressure-Squared Drawdown at Test Point 2

C_rs

MSCF/day/psi^(2n)

Rawlins-Schellhardt Deliverability Coefficient

Source and review

reviewed

Penn State PNG 301. Deliverability Testing, backpressure plot slope and intercept.

Source

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