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<br />c,.,) <br />c,.,) <br />U1 <br />...;J <br /> <br />out the ~imulation period, was <br />estimated from the average <br />salinity level of the base flows <br />of the streams within the sub- <br />basin. <br /> <br />Melamed (1975) assumed a lumped "source <br />s ink" term to represent soil-salt inter- <br />actions in both the dissolution and precipi- <br />tation processes. He also assumed that the <br />rate of the process was directly proportional <br />to the difference between the concentration <br />of the surrounding soil water solution, C, <br />and some equilibrium concentration, R, for <br />which the rate was zero. In equation form, <br />the rate of the process is <br /> <br />fn(c,x,t) <br /> <br />(3,4) <br /> <br />K (R - C) <br /> <br />in which <br /> <br />K is a proportionality coefficient re- <br />lated to soil properties and salt <br />composition. <br /> <br />Considering TDS as the salinity indicator, <br />Riley and Judnak (1979) assumed that, in <br />extensive areas of the Upper Colorado River <br />basin where the percolating water contacts <br />saline marine shales underlying the soil, the <br />volume of salt pickup is proportional to the <br />volume of percolating water. By inference, <br />then, this assumption implies that salt <br />pickup is inversely proportional to irriga- <br />tion efficiency. <br /> <br />The various assumptions in the detailed <br />hydrosalinity models discussed in Table 3.4 <br />are made to represent the complex solute <br />reactions occurring in the soil-water system. <br />The concentration of. salts in the drain out- <br />flow is based on assumed chemical equilibrium <br />conditions in the soil-water system. Shaffer <br />et 81. (1977) further assumed that no chemi- <br />cal reactions occurred in the outflow drains. <br /> <br />Limitations of the <br />EXIsting Models <br /> <br />From the above overview of the basic <br />relationships used in hydrosalinity models, <br />the three relationships concluded to be the <br />most limiting in accurate model representa- <br />tion are the chemical processes, surface- <br />groundwater interrelationships, and the salt <br />pickup phenomena. While better data are <br />needed to establish just how limited the <br />models are, some theoretical and empirical <br />evidence follows. <br /> <br />Chemical processes <br /> <br />The common assumption that total dis- <br />solved solids is a conservative parameter <br />may not apply for a wide range of values. <br />For example, under large fluctuations in <br />loading conditions (of the order of 10,000 <br />mg/l), several significant mineral constitu- <br />ents may reach saturation. Precipitation and <br /> <br />dissolution phenomena within the soil profile <br />and along the stream ma~ sign~fican~~y alter <br />the proportions of varIOUS IOnS, ~nd as a <br />result the relationship between constituent <br />concentrations and the TDS or EC may become <br />nonlinear beyond a certain range of concen- <br />trations. <br /> <br /> <br />Although TDS concentratons are ade- <br />quately simulated by the detailed salinity <br />models (Ayars 1976), the concentrations of <br />certain individual ionic constituents are <br />not. The inadequate representation of CaS04 <br />-CaC03 - Ca(CHC03)2 system in the models <br />appeared to have significantly reduced <br />prediction accuracy as illustrated in the <br />following situations. <br />1) The low correlation between observed <br />and simulated 802- coocentrat ioos in the <br />models of Thomas et a1. (1971), Narasimhan <br />(1975), and Ayars (1976) is attributed to <br />inadequate representation of the CaS04 <br />- CaC03 s ys t ems. <br />2) Table 3.6 lists three models pro- <br />posed by Wi llardson et a1. (1979). Although <br />the most sophisticated of the three models <br />considered the precipitation, dissolution, <br />and cation exchange of chemical constituents, <br />the concentrat ions of CaZ+ and HC03 were <br />underestimated by as much as 35 percent. <br />All three models were observed to have <br />inherent weakness in representing PCOZ - <br />HC03 - C03 - pH relationships. <br /> <br />Surface-groundwater interrelationships <br /> <br />Complex interrelationships between the <br />surface water, soil water, and groundwater <br />often exist. Representation of these rela- <br />tionships is quite general in most models and <br />often based on calibrated percentage param- <br />eters. Huber et al. (1976) used the propor- <br />tion of canal seepage that returns to the <br />stream and the proportion of agricultural <br />return flow that is available for rediver- <br />s ion. <br /> <br />Most of the TDS models assumed either <br />ungaged surface or subsurface flows to <br />achieve mass balance. The resulting freedom <br />in model calibration could lead to major <br />misrepresentation of the relative magnitudes <br />of the component salt loadings within the <br />system, particularly between seepage returns <br />and subsurface return flows. The following <br />situations illustrated the importance of <br />identifying and accurately quantifying the <br />surface-groundwater interrelationships. <br /> <br />1) Salinity modeling studies of the <br />Duchesne River basin conducted by UWRL (1975) <br />identified that significant recycling of <br />stream diversions occurred within the basin. <br />These findings subsequently were supported by <br />Mundorff (1977). <br /> <br />2) Weston (1975) identified groundwater <br />as the primary agent of salt pickup and <br />transport to the Colorado River from the <br /> <br />29 <br />