Equation to Calculate Depression Storage and Evaporation

Model storm pockets, evaporation, and runoff with simple inputs. Review balanced water depth outputs instantly. Export clean reports for drainage planning and watershed checks.

Calculator Inputs

%
hours

Example Data Table

Surface case Area Storage depth Rainfall Evaporation setup Expected reading
Urban pavement 10,000 m² 5 mm 12 mm 0.25 mm/hr for 6 hr About 50 m³ storage and 55 m³ runoff
Short turf 2 ha 8 mm 10 mm 3 mm/day for 12 hr Storage captures most early runoff
Rough compacted soil 5 acres 0.25 in 0.70 in 0.01 in/hr for 8 hr Runoff begins after pockets fill

Formula Used

Depression storage capacity: S = A × ds

Rainfall volume: R = A × P

Evaporation loss: E = min(A × e × t × k, available water)

Available water: V = R + Vi + Vin

Runoff volume: Q = max((V − E) − S, 0)

Here, A is connected area, ds is depression depth, P is rainfall depth, e is evaporation rate, t is time, and k is the evaporation coefficient.

How to Use This Calculator

  1. Enter the total catchment area and select the matching area unit.
  2. Set the connected area share if only part of the area drains to the same surface pockets.
  3. Enter depression storage depth, rainfall depth, and any initial stored depth.
  4. Add evaporation rate, duration, coefficient, and optional inflow volume.
  5. Choose the output volume unit, then press the calculate button.
  6. Review storage, evaporation, runoff, and depth results above the form.
  7. Use the CSV or PDF buttons to save the calculated report.

Depression Storage and Evaporation Guide

Why Depression Storage Matters

Depression storage is the water held in small surface pockets. It appears before clear surface runoff begins. Pavement joints, soil hollows, tire ruts, grass thatch, and rough concrete can all trap water. The stored depth may look small, yet the volume becomes important when the drainage area is large.

Evaporation in the Balance

Evaporation removes water from these pockets during and after a storm. The loss depends on evaporation rate, time, exposed area, and an adjustment coefficient. The coefficient lets the calculator represent shade, wind, surface cover, and water availability. A value near one means the entered rate is fully active.

How the Equation Works

The calculator first converts every depth and area to metric base units. It multiplies contributing area by depression depth to estimate maximum storage. It then adds rainfall volume and optional inflow. Initial water already stored is counted too. Evaporation volume is subtracted from available water. Filled storage is limited by the storage capacity. Any remaining water becomes potential runoff volume.

Practical Uses

This tool helps compare early storm losses, basin wetting behavior, and small site storage. It is useful for drainage sketches, stormwater checks, parking lot estimates, and classroom hydrology work. Designers can test how rougher surfaces delay runoff. Students can see how depth units, area units, and duration change the final volume.

Reading the Results

Use the storage filled result to see how much pocket volume is occupied. Use the evaporation loss result to see the water removed by weather conditions. Use the remaining runoff depth to compare with rainfall depth. A zero runoff result does not mean no rain fell. It means storage and evaporation absorbed the available water under the selected inputs.

Good Input Practice

Choose realistic storage depths for the surface type. Smooth pavement may store little water. Turf or uneven soil may store more. Enter measured evaporation rates when possible. For planning checks, test low, expected, and high cases. This gives a safer range for drainage decisions.

Limitations

The method is a planning estimate, not a complete hydrologic model. It does not replace field surveys, local design standards, or calibrated runoff software. Always review slopes, inlets, soil sealing, maintenance, access, and site safety before final decisions.

FAQs

What is depression storage?

It is water temporarily held in small surface low points before runoff starts. It can occur on soil, pavement, roofs, grass, and compacted areas.

How is evaporation calculated?

The tool multiplies area, evaporation rate, duration, and coefficient. It then limits evaporation to available water, so losses cannot exceed stored and incoming water.

What does connected area share mean?

It is the percentage of the entered area that contributes water to the same depression storage zone. Use 100 percent when the whole area is connected.

Can I include existing water?

Yes. Enter initial stored depth when surface pockets already contain water. The calculator limits that value to the maximum storage capacity.

Why is runoff sometimes zero?

Runoff becomes zero when storage capacity and evaporation remove all available water. This can happen during small storms or with large surface storage.

What coefficient should I use?

Use 1 for full evaporation exposure. Use a lower value for shade, shelter, partial wetting, or conservative estimates. Values above 1 can test harsh conditions.

Does this replace drainage design software?

No. It gives a planning estimate for storage and evaporation. Final drainage designs should follow local standards, surveys, and professional review.

What files can I export?

You can export a CSV file for spreadsheets and a PDF report for sharing. Both files use the current calculated input set.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.