Horton’s equation is the most common relationship for describing infiltration capacity in a soil. It describes the decrease in capacity as more water is absorbed by the soil, and has the form:
where f is the infiltration capacity (mm/h) at time t,
f0 and fc are the initial and final constant rates of infiltration (mm/h)>>
k is a shape factor (fixed at a value of 2/h in ILSAX)
t is the time from the start of rainfall (h).
The soil type specified in DRAINS determines values for f0 and fc.
Horton models are discussed in Chapter 3 of Book 5 of ARR 2019, in Section 3.5.3.4.