A note on the time compression approximation

M. C. Liu, J. Y. Parlange, M. Sivapalan, W. Brutsaert

Research output: Contribution to journalArticlepeer-review


In this paper the work by Sivapalan and Milky [1989] is extended beyond the time of ponding to estimate the errors of the time compression approximation (TCA) when an exact solution exists. The diffusion coefficient is set to be constant, and gravitational effects are not considered here. The largest error of standard TCA in calculating cumulative infiltration is about 2.5%, while its underestimate of the time to ponding is about 19%. A modified TCA is also proposed, in which the exact time of ponding is used directly instead of the flux to improve the estimate of postponding infiltration. The error for the modified TCA is about half of the error for the standard TCA in predicting cumulative infiltration, and thus the modified TCA should be preferred wherever ponding time is or can be measured.

Original languageEnglish (US)
Pages (from-to)3683-3686
Number of pages4
JournalWater Resources Research
Issue number12
StatePublished - 1998
Externally publishedYes

ASJC Scopus subject areas

  • Water Science and Technology


Dive into the research topics of 'A note on the time compression approximation'. Together they form a unique fingerprint.

Cite this