caa a22 4500 467922543 CHVBK 20180406152920.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s00477-005-0014-5 doi (NATIONALLICENCE)springer-10.1007/s00477-005-0014-5 Moment analysis for compounds undergoing sequential chain reactions with first-order decay [Elektronische Daten] [R. Parashar, Rao Govindaraju] Temporal and spatial moment analysis of one-dimensional equations governing fate and transport of parent compounds along with their transformation products is useful for parameter estimation of model parameters, and for understanding the average attributes of contaminant behavior. The objective of this paper is to present analytical expressions for the lower order moments of members in a sequential chain reaction, where members undergo first-order decay to produce the next member in the chain. Specifically, moments up to second order are discussed for the first two members. For the case of purely advective transport (Peclet number tending to infinity), temporal moment expressions are provided for more members of the chain. The sensitivity of temporal moments is examined with respect to Peclet number and transformation rates. Spatial moments are derived by two methods—one using Fourier transforms and another using moment generating differential equations. The behavior of lower order moments for the first few members of a chain can be elucidated from their mathematical expressions. However, expressions for higher order moments tend to be very complicated especially for members further down the chain. Springer-Verlag, 2005 Decay chain reactions nationallicence Moment analysis nationallicence Solute transport nationallicence Parashar R. School of Civil Engineering, Purdue University, 47907, West Lafayette, IN, USA aut Govindaraju Rao School of Civil Engineering, Purdue University, 47907, West Lafayette, IN, USA aut Stochastic Environmental Research and Risk Assessment Springer-Verlag 20/1-2(2006-01-01), 95-105 1436-3240 20:1-2<95 2006 20 477 https://doi.org/10.1007/s00477-005-0014-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00477-005-0014-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Parashar R. School of Civil Engineering, Purdue University, 47907, West Lafayette, IN, USA aut NATIONALLICENCE 700 1- Govindaraju Rao School of Civil Engineering, Purdue University, 47907, West Lafayette, IN, USA aut NATIONALLICENCE 773 0- Stochastic Environmental Research and Risk Assessment Springer-Verlag 20/1-2(2006-01-01), 95-105 1436-3240 20:1-2<95 2006 20 477 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer