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for a series of year s. These studies are also of a budgetary nature but generally require no mathematical operations beyond arithmetic. Even though it is recognized that the stor2.ge and release of ground water may be an impor- tant factor it has heretofore been difficult to include this factor because there has been no means available for accounting for the time delays inherent in ground water movements. * By utilizing the analytical methods described herein this difficulty can be overcome, the factors introduced by ground water move- ments can be evaluated and the studies can be completed. Even though specialized mathematical skills are required in this procedure the results of the mathematical work can be incorporated into simple charts, such as the ones shown, and thereafter the inclusion of the ground water factors can become a routine matter requiring no familiarity with advanced mathematical procedures. The charts will not have to be remade for each new case. They are sufficiently general to require only a knowledge of the aquifer characteristics. and its geometry. They can be prepared on either a flow or volume basis. The developments described are adequate to treat the factors of pumpage, return flow from irrigations, canal leakage and seepage from reservoirs. The cases described illustrate a method which can be extended to many other cases. The spreading of water from recharge areas, for example, can also be treated in this way. 1 ,'1 ,'1 \, Summary The analytical methods described herein will permit the storage and return of ground water to be included in water budget studies required for the planning of engineering works for water conservation purposes. Charts can be prepared which will permit these factors to be included on a routine basis. Ground water-surface water relationships in existing developments can also be clarified and the effect of future developments can be assessed. Acknowledgments The procedures described herein include developments made at the U. S. Bureau of Reclamation and at Colorado State University. I I I * Return flows have sometimes been estimated from experience in other areas. ( -6- ,.