Convert Gallons per Day per Square Foot to Metres per Second
1 US gallon per day per square foot (gpd/ft²) = 4.715952932 × 10⁻⁷ metres per second (m/s). 1 m/s = 2120462.215 gpd/ft². Example: 15 gpd/ft² = 15 × 4.715952932 × 10⁻⁷ = 0.000007073929398 m/s.
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1 gpd/ft² = 4.715952932e-7 m/s
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk gpd/ft² to metre per second converter to paste a column from Excel.
How to Convert Gallon per Day per Square Foot to Metre per Second
- 1 gpd/ft² = 4.715952932 × 10⁻⁷ m/s
- 1 m/s = 2120462.215 gpd/ft²
- Example: convert 15 gpd/ft² to m/s: 15 gpd/ft² = 15 × 4.715952932 × 10⁻⁷ m/s = 0.000007073929398 m/s
Formula
m/s = gpd/ft² × 4.715952932099 × 10⁻⁷
or m/s = gpd/ft² ÷ 2120462.21495
Derivation from SI units:
- 1 gpd/ft² = 0.003785411784 m³ ÷ 86,400 s ÷ 0.09290304 m².
- Hydraulic conductivity K = discharge per unit area per unit hydraulic gradient, in m/s.
Both units are defined exactly, so the factor is exact. Gallon per Day per Square Foot definition: US gallon per day per square foot; Metre per Second definition: metre per second.
Worked examples
- A reading of 100 gpd/ft² converts to 0.00004715952932 m/s.
100 gpd/ft² × 4.715952932 × 10⁻⁷ = 0.00004715952932 m/s - A value of 1000 gpd/ft² is 0.0004715952932 m/s.
1000 gpd/ft² × 4.715952932 × 10⁻⁷ = 0.0004715952932 m/s
Gallon per Day per Square Foot to Metre per Second conversion table
| Gallons per Day per Square Foot (gpd/ft²) | Metres per Second (m/s) |
|---|---|
| 1 gpd/ft² | 4.715952932 × 10⁻⁷ m/s |
| 10 gpd/ft² | 0.000004715952932 m/s |
| 50 gpd/ft² | 0.00002357976466 m/s |
| 100 gpd/ft² | 0.00004715952932 m/s |
| 200 gpd/ft² | 0.00009431905864 m/s |
| 500 gpd/ft² | 0.0002357976466 m/s |
| 1000 gpd/ft² | 0.0004715952932 m/s |
| 2000 gpd/ft² | 0.0009431905864 m/s |
| 5000 gpd/ft² | 0.002357976466 m/s |
| 10000 gpd/ft² | 0.004715952932 m/s |
Where it's used
Gallons per Day per Square Foot are used for older USGS and well-driller reports, while metres per second appear in darcy’s law and seepage analysis. Both measure hydraulic conductivity (coefficient of permeability k), so the conversion is a fixed factor.
Gallon per Day per Square Foot to other hydraulic conductivity units
| Conversion | 1 gpd/ft² equals |
|---|---|
| gpd/ft² to metre per second | 4.715952932 × 10⁻⁷ m/s |
| gpd/ft² to centimetre per second | 0.00004715952932 cm/s |
| gpd/ft² to metre per day | 0.04074583333 m/day |
| gpd/ft² to centimetre per hour | 0.1697743056 cm/h |
| gpd/ft² to millimetre per hour | 1.697743056 mm/h |
| gpd/ft² to foot per day | 0.1336805556 ft/day |
| gpd/ft² to inch per hour | 0.06684027778 in/h |
Frequently asked questions
How many metres per second are in 1 US gallon per day per square foot?
1 gpd/ft² = 4.715952932 × 10⁻⁷ m/s.
How do I convert US gallons per day per square foot to metres per second?
Multiply the value in gpd/ft² by 4.715952932 × 10⁻⁷, or divide it by 2120462.215. For example, 15 gpd/ft² × 4.715952932 × 10⁻⁷ = 0.000007073929398 m/s.
Is the gpd/ft² to m/s conversion exact?
Yes. Both units are defined exactly, so the ratio is exact; its decimal form does not terminate and is shown here to 10 significant figures (more with the precision selector).
Sources
- Guide for the Use of the International System of Units (SI), NIST Special Publication 811, 2008 Edition, National Institute of Standards and Technology , Appendix B.8, "gallon (U.S.)".
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 4 (derived units) and Table 8 (non-SI units accepted for use with the SI).
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Convert Gallons per Day per Square Foot to Metres per Second. Retrieved October 29, 2026, from https://scientificconverters.com/hydraulic-conductivity/gallons-per-day-per-square-foot-to-meters-per-second/
IEEE
Scientific Converters, "Convert Gallons per Day per Square Foot to Metres per Second," scientificconverters.com. Accessed: Oct. 29, 2026. [Online]. Available: https://scientificconverters.com/hydraulic-conductivity/gallons-per-day-per-square-foot-to-meters-per-second/