Here, and represent the Peclet number (P=hu/Dm) [‒] and apparent residence time (Tr P Tr =hRm/u) [T], respectively. Leached, volatilized, and degraded fractions of chemicals in soil (equivalent to a ratio of the residual mass in an arbitrary soil depth within the root zone Mr z depth to the initial mass applied in the surface) are indicated by and h M0 Ilea, Ivol, Ideg, respectively. When approaches infinity (or is extremely high), Eq. (A.10) in the soil depth P d finally reduces to: . (A.16) Using Eq. (A.16), Hantush et al. (2002) assessed the leaching of various agrochemicals under varying test conditions, different soil textures and recharge rates. However, since we will not consider both crop uptake and physical nonequilibrium transport (i.e., dual-porosity type formulation) in our new leaching tool (that is, by neglecting and Eq. µ ϕ), (A.16) is further reduced to: . (A.17) Either assuming the root zone is 1 m or dividing the denominator and numerator in the h exponential term by we get: h,
Here, P and Tr represent the Peclet number (P=hu/Dm) [‒] and apparent residence time (Tr =hRm/u) [T], respectively. Leached, volatilized, and degraded fractions of chemicals in soil (equivalent to a ratio of the residual mass Mr in an arbitrary soil depth z within the root zone depth h to the initial mass M0 applied in the surface) are indicated by Ilea, Ivol, and Ideg, respectively. When P approaches infinity (or is extremely high), Eq. (A.10) in the soil depth d finally reduces to: . (A.16) Using Eq. (A.16), Hantush et al. (2002) assessed the leaching of various agrochemicals under varying test conditions, different soil textures and recharge rates. However, since we will not consider both crop uptake and physical nonequilibrium transport (i.e., dual-porosity type formulation) in our new leaching tool (that is, by neglecting µ and ϕ), Eq. (A.16) is further reduced to: . (A.17) Either assuming the root zone h is 1 m or dividing the denominator and numerator in the exponential term by h, we get:
1-s2.0-S002216941401035X-mmc1.docx