Dimensional analysis in surface irrigation

The surface-irrigation design process requires multiple analyses of surface irrigations to test tentative values of design parameters in the search for an optimum. Preparation of general design charts can aid the design process if the users' test cases fall within the scope of the charts. The large number of independent variables in surface irrigation preclude the generation of charts covering the practical range of all independent variables, when these are in dimensioned form. Dimensionless formulations allow significant reductions in the amount of data generated and presented, without loss of generality. Relationships pertinent to surface-irrigation analyses and design are reviewed in dimensionless terms. Dimensionless forms are developed primarily from an examination of the equations governing surface-irrigation phenomena. Additionally, dimensionless forms are derived from a study of the dimensions of the pertinent variables, without recourse to the governing equations. The Buckingham Pi Theorem is derived in the context of surface irrigation. Different choices for reference variables, leading to different meanings for the resulting dimensionless parameters, have advantages and disadvantages for analysis and design of surface irrigation systems. The different systems developed in the past for border irrigation are reviewed and their consequences noted; new systems with potential for future studies are suggested. Particular attention is devoted to those dimensionless representations useful in design.     

Design and evaluation of an irrigation system for creating water gradients under an automatic rain shelter

Summary This paper reports on the design and performance of an irrigation system associated with a rain shelter. The shelter is used in the closed position as a platform for multiple spray lines. This system automatically supplies, at a specified time, water of specified depth and delivery rate, either uniformly or on a specified gradient across the sheltered area. Variations in crop water deficits and yields have conformed closely to imposed water gradients.     

Determination of soil water content by X-ray computed tomography and magnetic resonance imaging

Summary Experiments were conducted to compare the use of X-ray computed tomography (CT) and magnetic resonance imaging (MRI) methods for determining water content in soil. Soil cores of Mexico silt loam packed at bulk densities of 1.2, 1.3, 1.4, and 1.5 Mg/m³ and Crider silty clay packed at bulk densities of 1.3, 1.4, 1.5, and 1.6 Mg/m³ were evaluated using a CT scanner. Results indicate that the X-ray CT explained 98% of the variation in water content over a range from air-dry to saturation. Three attempts were made to obtain MRI scans of soil cores varying in soil water content. Two of these attempts were made with contrasting agents. No images were obtained of the soil cores during all three attempts. It is suggested that the failure to obtain images of soil cores is closely related to the settings of the pulse repetition time and the spin echo time on the MRI unit. The range in settings for these two parameters on the commercial MRI unit used in this study did not allow short increments to be selected and therefore it was not possible to obtain reconstructed images of the soil cores for this experiment. However accessibility to a prototype MRI unit should allow more conclusive work to determine the full capabilities of MRI for determining soil water content.Contribution from the Missouri Agricultural Experiment Station Journal No. 10424, Department of Agronomy, University of Missouri, Columbia, MO 65211, USA     

Soil water potential measurement: An overview

Summary Soil water potential is measured either by measuring some property of the soil which changes with the water potential, or by equilibrating the liquid or gas phase of the water in some reference medium with the liquid phase of the soil and measuring some property of the water in the reference medium. Devices commonly used to measure soil water potential are tensiometers, thermocouple psychrometers, electrical resistance sensors, thermal conductivity sensors, and correlations with water contents of the soil or of filter paper which has been equilibrated with the soil. The principles governing the operation of each of these devices will be discussed.     

Measuring yield-reducing plant water potential depressions in wheat by infrared thermometry

Summary Measurements of foliage and air wet- and dry-bulb temperatures were made over six differentially irrigated plots of Produra wheat grown at Phoenix, Arizona, in the spring of 1976. These data were used to evaluate a newly developed plant water stress index each day from the initiation of heading to the commencement of senescence. Daily measurements on total plant water potential were also obtained over this period; and after demonstrating how the atmospheric-induced component can be removed from these data, the resultant soil-induced component was plotted as a function of the new water stress index. The result was a simple linear relationship, which was found to be identical to one previously derived for alfalfa. Finally, it was shown that grain yield was directly related to the mean plant water stress index over the reproductive growth period from heading to senescence.Contribution from Agricultural Research, Science and Education Administration, US Department of AgricultureResearch physicist, soil scientist, research physicist, and research entomologist, respectively     

Kinematic-wave model for soil-moisture movement with plant-root extraction

A kinematic-wave model is developed for simulating the movement of soil moisture in unsaturated soils with plants. The model involves three free boundaries. Analytical solutions are derived when the plant roots are assumed to extract moisture at a constant rate and the upstream boundary condition is independent of time. Numerical solutions are the only resort when the moisture extraction and the upstream boundary condition both depend on time.     

Real-time adaptive irrigation scheduling under a limited water supply

The problem of real-time irrigation scheduling under limited water supply is considered. The goal is to develop an irrigation operation policy which maximizes crop yields and is responsive to current season changes in weather and other variables. Because irrigation decisions are sequential and dependent on crop and soil water status, and also because crop yields can only be known at the end of the season, the decisions are arrived at by a two-stage process. In the first or the design stage, irrigations are planned for the entire season at weekly intervals using historical data and an optimal irrigation scheduling model. In the second stage, the decisions for the subsequent weeks are revised each week after updating the status of the system with real time data up to that week and solving the irrigation optimization model once again for the new conditions. Thus, each week an irrigation decision is made, the entire planning horizon is kept in view. The procedure is illustrated by application to a case study.     

Irrigation scheduling effects on yield and phosphorus uptake of cowpea

A line-source sprinkler irrigation system was used for irrigation-fertilizer cowpea (Vigna unguiculata [L.] Walp.) production studies. The relative merits and demerits of irrigating frequently but with smaller amounts of water than the design water application depth as compared to stage-of-growth and normal interval irrigation were investigated with five levels of fertilizer P, three water levels and five irrigation schedules.Dry matter production on the basis of forage produced was used as the yield indicator. The plants were harvested when the more advanced individuals reached the late boot stage immediately preceding the appearance of their inflorescences. P uptake was also measured.Statistical analyses of yield and P uptake gave a positive response of the crop to added fertilizer and irrigation water. Application of 70 kg/ha P₂O₅ produced the highest yields under all irrigation schedules. Irrigating too frequently was found to be detrimental; maximum yield under P fertilization was obtained with irrigations scheduled at half the design interval and with half the design irrigation depth. Uptake of P increased with yield.     

Farmers' irrigation practices in a high rainfall area

Recent droughts in the humid southeastern United States have focused attention on the need for and use of supplemental irrigation. Total annual rainfall amounts are sufficient for most crops in the region. However, erratic distribution of rainfall and the low water-holding capacities of most soils in the region cause frequent drought stresses in many crops. An on-farm study was conducted in southeastern Alabama to evaluate the effects of farmers' irrigation scheduling decisions on soil moisture variations in peanut fields irrigated with center-pivot irrigation systems. The study showed that the way irrigation was practiced in this high rainfall area often caused soil moisture deficit (SMD) level higher than the desired SMD limit during over 20% of the 140-day growing season. This is partially due to farmers' tendency to delay irrigation in anticipation of rainfall which may or may not occur, as rainfall during the growing season is often erratic and local. In contrast SMD in non-irrigated fields was higher than the SMD limit for half of the growing season.Abbreviations SMD soil moisture deficit - ET evapotranspiration - R_eff effective rainfall - WHC water holding capacity