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Engineering lesson

Leakoff spurt loss and fracture efficiency

Leakoff and spurt are fluid-loss terms. Fracture efficiency compares retained fracture volume with injected volume under a stated fluid balance; it is not determined by a leakoff coefficient alone.

By PetroCalcHub Team · Updated October 24, 2026 · Free to read and use

Close a defined fluid balance

A simplified ledger gives injected volume = retained fracture volume + leakoff volume when other storage and losses are excluded. Efficiency is retained volume divided by injected volume.

Wellbore storage, compressibility and other losses require additional entries when relevant. Omitting them is an assumption, not proof they are zero.

Use the same area and exposure basis

The Carter term and spurt term in the example use the same fixed effective area. If the area convention changes between them, the sum no longer represents one consistent model.

The explorer varies exposure time while injected volume is held fixed, showing how the assumed loss changes the retained fraction.

Flag impossible balances

A calculated leakoff greater than injected volume produces a negative retained volume in this simple ledger. That is an invalid scenario, not a physical negative fracture.

Do not clip efficiency to zero and hide the inconsistency. Recheck injected volume, exposure history and model inputs.

Explore the example

Original synthetic teaching calculation. Equations and fixed controls are stated here; these are not field measurements.

60

Select one of 5 recorded scenarios. Intermediate states are not interpolated.

Selected scenario

Exposure (min) = 60. Leakoff volume (ft³): 1329.516; Retained volume (ft³): 1670.484; Efficiency (fraction): 0.556827999.

Selected result01,1302,26015128240Scenario input
  • Leakoff volume (ft³)
  • Retained volume (ft³)
Leakoff volume (ft³) versus Exposure (min). Green marks the selected row. Lines connect recorded points for orientation; exact solved values are tabulated below.

Worked example

A simplified injected-fluid ledger

Injected volume fixed at 3,000 ft³; AL = 20,000 ft², CL = 0.003 ft/√min and Sp = 0.02 ft. Other storage terms are excluded.

Relation and unit basis

Vretained = Vinjected − Vleakoff; efficiency = Vretained/Vinjected

Fixed simultaneous area exposure is assumed. This does not solve fracture propagation or pressure-dependent leakoff.

  1. 1. Define the baseline

    Exposure (min) = 60

    Injected volume fixed at 3,000 ft³; AL = 20,000 ft², CL = 0.003 ft/√min and Sp = 0.02 ft. Other storage terms are excluded.

  2. 2. Select the relation

    Vretained = Vinjected − Vleakoff; efficiency = Vretained/Vinjected

    Fixed simultaneous area exposure is assumed. This does not solve fracture propagation or pressure-dependent leakoff.

  3. 3. Substitute the values

    At 60 min: leakoff = 1,329.516003 ft³; retained = 3,000 − 1,329.516003; efficiency = retained/3,000

    Retain intermediate precision. The displayed values are rounded only after evaluation.

  4. 4. Read the result

    Leakoff volume (ft³) = 1329.516; Retained volume (ft³) = 1670.484; Efficiency (fraction) = 0.556827999

    Efficiency is conditional on this complete stated volume ledger, not CL alone.

Result and interpretation

Leakoff volume (ft³) = 1329.516; Retained volume (ft³) = 1670.484; Efficiency (fraction) = 0.556827999

Efficiency is conditional on this complete stated volume ledger, not CL alone.

The balance uses an explicit fixed injected volume. It does not solve fracture growth or pressure-dependent leakoff.

Exact scenario data

Original synthetic teaching calculation. Equations and fixed controls are stated here; these are not field measurements.

Exact recorded values for A simplified injected-fluid ledger. Units are included in the headers.
Exposure (min)Leakoff volume (ft³)Retained volume (ft³)Efficiency (fraction)
15864.7582,135.2420.7117473
301,057.2671,942.7330.6475776
601,329.5161,670.4840.556828
1201,714.5341,285.4660.4284886
2402,259.032740.9680.2469893

Scroll the table to see all columns. The highlighted row is the worked baseline. Downloads retain full numerical precision.

Test your understanding

Work through the question before revealing its answer. Use the stated assumptions and include units in every numerical step.

  1. 1. If 1,000 ft³ is injected and 300 ft³ is lost under this simplified balance, what is efficiency?

    Show the worked answer

    0.70, or 70%, with 700 ft³ retained. Additional storage terms would change the interpretation.

  2. 2. Reproduce the baseline Leakoff volume (ft³) without rounding intermediate values.

    Show the worked answer

    At 60 min: leakoff = 1,329.516003 ft³; retained = 3,000 − 1,329.516003; efficiency = retained/3,000. Leakoff volume (ft³) = 1329.516. Efficiency is conditional on this complete stated volume ledger, not CL alone.

  3. 3. Compare the first and last recorded scenarios. Which input changes?

    Show the worked answer

    Exposure (min) changes from 15 to 240. Other controls remain as stated in the premise. Leakoff volume (ft³) changes from 864.758002 to 2259.03201.

  4. 4. What would be needed to apply this example to a different physical system?

    Show the worked answer

    Replace the synthetic controls with compatible documented inputs and check the relation's assumptions. Fixed simultaneous area exposure is assumed. This does not solve fracture propagation or pressure-dependent leakoff. Efficiency is conditional on this complete stated volume ledger, not CL alone.

Before using the result

  • State all included volume terms.
  • Use one area convention.
  • Expose negative or above-one efficiency as inconsistent.

Efficiency is conditional on this complete stated volume ledger, not CL alone.

Continue in the calculator with your documented inputs →

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Sources and method

The explanation and synthetic examples are original PetroCalcHub teaching material. The references below support the definitions and model context. They do not supply field validation for the synthetic scenarios.

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