ADVANCES IN THE BOUNDARY INTEGRAL EQUATION METHOD IN SUBSURFACE FLOW1

ABSTRACT: This paper explores some of the advances of the boundary element method, as applied to ground-water problems, during the last five years. Although the method is still somewhat limited compared to solution by finite elements, the range of solutions has increased considerably. Diffusion and advection-diffusion solutions are done efficiently. These include the incorporation of inhomogeneity, anisotropy, and nonlinear diffusion. The difficult problem of stream-aquifer interaction is an important application as it is much easier to follow a free surface with its multiple configurations. The application must be able to cycle between ground-water connection and disconnection with the stream and include seepage surfaces. Flow in fractured media is a natural application where the flow in fractures can usually be treated without a computational exception in spite of extremely high aspect ratios. The case of seawater intrusion forms a type of free surface problem and thus is a case for which the method has special advantages. For these and other applications the boundary element method provides an inexpensive technique for calculation where the data preparation and setup time is minimal. In most of these cases, programs can and have been written on microcomputers.     

MONITORING AND CONTROL OF CENTER PIVOT SYSTEMS WITH MICROCOMPUTERS1

A computerized water-energy-management system (WEMS) can be used by center pivot operators to reduce pumping fuel costs and monitoring expenses. Irrigation costs are lowered primarily because the system used climatic data and plant growth models to derive water schedules that considerably lowers the use of water compared with conventional irrigation practices. A capital budget analysis of a hypothetical, but representative farm growing corn, shows that cost savings are from three sources: 61 percent from pumping less water, 28 percent from labor savings, and 11 percent from savings on truck fuel, maintenance, and oiL The analysis illustrates that only a 4 percent water savings from irrigation scheduling over a 10-year period is required for the investment to be profitable for many central High Plains’ irrigators. The water savings required are relatively small compared with the potentials shown by irrigation scheduling research. WEMS is cost effective and can extend the life of the ground water source.