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An excerpt from Earth dam seepage analysis with a programmable calculator, Hydrology & Water Resources Dept. {University of Arizona}, Masters Thesis {Hydrology}, 1983

ABSTRACT
A model was developed for the Texas Instruments Company TI-59 programmable calculator for estimation of seepage from a reservoir. The model, DAM SEEPAGE, separates flow through the dam and flow under the dam by assuming that the boundary between the dam and foundation is a streamline. The algorithm used is based on Darcy's law, Dupuit's assumptions, and Bear's hydraulic approach.
DAM SEEPAGE was applied to three situations, two proposed dams in eastern Montana and one existing dam in central Oklahoma. The two proposed dams were compared on the basis of seepage loss. The existing dam, a well-documented site, was chosen to check the accuracy of DAM SEEPAGE. The results of the study are within 2 percent of previously modeled results and within 13 percent of previously measured results.

CHAPTER 3
CALCULATOR MODEL

User Instructions and Calculator Code
The calculator model, DAM SEEPAGE, calculates:
1. Line of seepage ls by equation (3.8).
2. Distance d by equation (3.9).
3. Flow through the dam Q dby equation 3.7
4. Leakage factor X by equation (3.12).
5. Head values, h2 and h3 , by equations (3.26) and (3.27).
6. Flow under the dam Qf by equation (3.28).
7. Total flow through the system.
User instructions and calculator codes are presented in Appendix A.

CHAPTER 6
SUMMARY AND CONCLUSIONS
The purpose of this study was to develop a model suitable for use on a TI-59 programmable calculator to estimate seepage from a reservoir. The model, DAM SEEPAGE, was designed to obtain a preliminary estimate of seepage. DAM SEEPAGE's basic approach is the separation of flow through the dam and flow under the dam by assuming that the boundary between the dam and the foundation is a streamline and that no seepage between the dam and foundation occurs. This, and other simplifying assumptions used in the development of the model algorithm, does not severely restrict the use of DAM SEEPAGE in a preliminary investigation or in a field situation where detailed subsurface information is limited.

BEST!
SlideRule
Very interesting topic, hydraulics is one of my favorite subjects. I would like to find someone who knows the TI59 and who is also familiar with the HP 35s to translate it into this code, since the number of programming steps is very high, 690.