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Hydrology examples

One executed example per breakthrough in Breakthroughs in Hydrology, in chronological order, each with an asserted check of the result it shows. Download the Python source or notebook from each page. Hydrology: units, equations and validation records units and limits; all examples use deterministic synthetic inputs and require no downloads.

Perrault’s catchment water balance (1674)

Perrault's catchment water balance (1674)

Chézy’s open-channel formula (1775)

Chézy's open-channel formula (1775)

Dalton’s evaporation law (1802)

Dalton's evaporation law (1802)

Darcy’s law (1856)

Darcy's law (1856)

Dupuit’s unconfined flow (1863)

Dupuit's unconfined flow (1863)

Manning’s formula (1889)

Manning's formula (1889)

Green and Ampt’s infiltration (1911)

Green and Ampt's infiltration (1911)

Richards’s equation (1931)

Richards's equation (1931)

Sherman’s unit hydrograph (1932)

Sherman's unit hydrograph (1932)

Horton’s infiltration capacity (1933)

Horton's infiltration capacity (1933)

Theis’s well solution (1935)

Theis's well solution (1935)

McCarthy’s Muskingum routing (1938)

McCarthy's Muskingum routing (1938)

Horton’s laws of stream numbers (1945)

Horton's laws of stream numbers (1945)

Cooper and Jacob’s straight-line method (1946)

Cooper and Jacob's straight-line method (1946)

Penman’s evaporation (1948)

Penman's evaporation (1948)

Monteith’s canopy resistance (1965)

Monteith's canopy resistance (1965)

Beven and Kirkby’s TOPMODEL (1979)

Beven and Kirkby's TOPMODEL (1979)