Physical Sciences and Mathematics Commons^™

Water Quality Telemetry, Final Progress Report, Duard S. Woffinden, Allen D. Kartchner

Reports

Water quality standards are now part of the legal code set up to control water pollution. In order to ascertain that these standards are being met, it is mandatory to monitor any river system over which control must be maintained. For optimum, usefulness, data on the monitored variables should be available on a real time basis at any time throughout the 24-hour day. Remote sampling stations and a telemetry link represent the most practical means of accomplishing this end. A water quality monitoring system utilizing radio telemetry has been developed at the Utah Water Research Laboratory (UWRL). The system consists …

The Effect Of Sediment Properties Of An Ultrasonic Plane Wave, G. H. Flammer, N. E. Stauffer Jr., E. Y. Liu

Reports

No abstract provided.

Simulation Of The Hydrologic-Economic Flow System In An Agricultural Area, Murland R. Packer, J. Paul Riley, Harold H. Hiskey, Eugene K. Israelsen

Reports

Like the allocation of water resources among water users, the distribution of allocated water to the subusers requires an estimate of the economic costs and benefits from a number of distribution alternatives. The most satisfactory solution maximizes the benefit cost ratio. This study is based on the premise that equitable water distribution to agricultural subusers can be more easily accomplished through the use of a technique to predict the marginal value of agricultural water. A hydro-economic model is formulated to distribute the water supply to the crops and to determine the unit value of water for the given supply. By …

Analog Computer Solution Of The Unsteady Flow Equations And Its Use In Modeling The Surface Runoff Process, Utah Water Research Laboratory

Reports

The flow of water on a watershed is usually unsteady and spatially varied, but can be adequately portrayed by the equations of momentum and continuity, commonly referred to as the unsteady flow equations. Because these equations are quasi-linear, hyperbolic, partial differential equations, they are not easily amenable to solution. Analog computer model~ of surface runoff generally have been based on simplified forms of these equations. As an improvement of those models, an analog computer solution is presented here for the unsteady flow equations. The solution involves the conversion of the partial differential equations in to a differential-difference system, and a …

Snowmelt Simulation, J. Paul Riley, Duane G. Chadwick, Keith O. Eggleston

Reports

The rapid growth in recent years of a variety of demands upon available water resources has lead to an increasing interest in more fundamental approaches to the science of hydrology. Accompanying this growth has been a need for an increased understanding of the snowmelt process. A completely adequate description of the entire physical process of snowmelt under all conditions is not yet available. The complex interrelated and variable nature of the snowmelt processes that occur simultaneously complicate the problem. A preliminary mathematical model of the snowmelt process has been developed in which processes such as pack settlement rates and energy …

Dolichopodidae (Diptera) And Braconidae (Hymenoptera) Of Curlew Valley, G. F. Knowlton, W.J. Hanson, G.E. Bohart

Memorandum

No abstract provided.

Influence Of Mountain Groundwater On Streamflow, Bi-Huei Wang, Roland W. Jeppson

Reports

This investigation has determined the quantities of water stored as groundwater in the three watersheds in Utah, Logan River upstream from State Dam, South Fork Ogden River upstream from Huntsville, and Weber River upstream from Oakley. The proportion of the total streamflow contributed from this groundwater storage has been determined from past streamflow records, and the knowledge obtained from the analysis of groundwater contribution to streamflow has been utilized in developing water supply forecasting techniques and procedures. The first phase of the study dealt with theory and methods from separating the groundwater component from the total streamflow hydrograph. The method …

Usu Telemetering Precipitation Gage Network, C. Earl Israelsen, Don L. Griffin

Reports

A network of telemetering precipitation gages is operating in the mountainous areas of northern Utah, western Wyoming, and southern Idaho as part of the Wasatch Weather Modification Project. Approximately 40 individual gages collected and reported data during the 1968-69 winter season from distances up to 130 miles. In addition to the remotely located gages, the system includes an Automatic Readout Console (ARC) at the Utah Water Research Laboratory that is connected by a cable to a translator on top of Mt. Logan. The ARC is the control center for the network, interrogating in a predetermined programmed sequence the remote telemetry …

Cutthroat Flow Measuring Flumes For Flat Gradient Channels, Gaylord V. V. Skogerboe

Reports

The cutthroat flume can operate either as a free or submerged flow structure. Submerged flow calibration curves and free flow equations have been developed. Rectangular cutthroat flume sizes of 1, 2, 3, 4, and 6 feet were studied and tested in the laboratory. Trapezoidal cutthroat flumes having zero (or V-shaped), 6-inch, and 12-inch throat widths were calibrated. The value of transition submergence is listed for each of the rectangular and trapezoidal cutthroat flumes. The most obvious advantage of a cutthroat flume is economy, since fabrication is facilitated by a flat bottom and removal of the throat section. Another advantage is …

Electronic Analog Computer Simulation Of The Paez-Pedraza Region Of Venezuela, J. Paul Riley, V. V. Dhruva Narayana, Kousoum S. Sakhan

Reports

Recently governments and universities in many South American countries have shown considerable interest in a planned and orderly development of available water resources. A case in point is the preliminary study reported in which the problem is approached by utilizing a general mathematical model of the hydrologic system. Specifically, the study involves simulation by means of an electronic analog computer of the hydrology of the Paez-Pedraza region of south western Venezuela. The various processes within the model are linked by the continuity-of-mass principle, which requires a hydrologic balance at all points. The analog computer is ideally suited to the solution …

Evaluation Of The Adequacy Of Streamflow Operational Hydrology, Roland W. Jeppson, Calvin G. Clyde

Reports

No abstract provided.

Usu Remote Total Precipitation Telemetry Station, Duane G. Chadwick

Reports

A total precipitation catchment and telemetering device is described for use in mountainous regions. The precipitation transucer uses a weighing-type mechanism which has a variable inductor sensor.

The catchment system floats on springs and has negligible static friction. The radio transponder is powered by dry batteries. It responds upon coded interrogation, sending hydrologic or meteorological data through a mountaintop translator to a base station

Propositions Equivalent To The Continuum Hypothesis, Bernard L. Bohl

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Two sets A and B are said to have the same power if there exists a one-to-one correspondence between them. All sets which have the same power as the natural numbers are called countable and have power N₀. All sets which have the same power as the real numbers are said to have the power of the continuum will be denoted by 2^N₀, since 2^N₀ can be shown to be equal to c as will be indicated in the preliminary results.

Given an element a of a well-ordered set B, the set of …

Measure Theory And Lebesgue Integration, Evan S. Brossard

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

The Lebesgue integral is a generalization of the Riemann integral which extends the collection of functions which are integrable.

Lebesgue integration differs from Riemann integration in the way the approximations to the integral are taken. Riemann approximations use step functions which have a constant value on any given interval of the domain corres­ponding to some partition. Lebesgue approximations use what are called simple functions which, like the step functions, take on only a finite number of values. However, these values are not necessarily taken on by the function on intervals of the domain, but rather on arbitrary subsets of the …

Computer Analysis Of Consumer Attitude And Consumption Data For Fluid Milk Products, James Reed Fisher

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

The American public, with a per capita disposable income currently at an all time high, has become a source of vital concern to dairy market researchers. The unique socio-economic structure of the present generation causes the dairy industry to be concerned with how the consumer view its products. Effective education and advertising programs must be developed to attract the taste and meet the demands of the consumer.

Two factors which greatly influence market research and advertising programs are the attitude of the consumer toward a given product and the relationship of attitude to the degree of actual milk consumption. To …

Principal Component Factor Analysis, Herbert H. Jolliff

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Factor analysis came into being around 1900 in the field f psychology to explain theories of human ability. Several methods of factor analysis exist; but according to Harman (1967) principal component factor analysis is unique in the mathematical sense, therefore, quite often the preferred method. The centroid method is computationally easier, and it gives close approximations to the principal component method on some data sets. An example of this is shown in Appendixes B and F by comparison.

Factor analysis is being used in many fields. A few of the fields are sociology, meteorology, political science, medicine, geography, business, economics, …

The Fundamental Groups Of The Complements Of Some Solid Horned Spheres, Norman William Riebe

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

One of the methods used for the construction of the classical Alexander horned sphere leads naturally to generalization to horned spheres of higher order. Let M₂, denote the Alexander horned sphere. This is a 2-horned sphere of order 2. Denote by M₃ and M₄, two 2-horned spheres of orders 3 and 4, respectively, constructed by such a generalization.

The fundamental groups of the complements of M₂, M₃, and M₄ are derived, and representations of these groups onto the Alternating Group, A₅, are found. The form of the presentations …

Tests Of Methods That Control Round-Off Error, Dale M. Rasmuson

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Methods of controlling round-off error in one-step methods in the numerical solution of ordinary differential equations are compared. A new Algorithm called theoretical cumulative rounding is formulated. Round-off error bounds are obtained for single precision, and theoretical cumulative rounding. Limits of these bounds are obtained as the step length approaches zero. It is shown that the limit of the bound on the round-off error is unbounded for single precision and double precision, is constant for theoretical partial double precision, and is zero for theoretical cumulative rounding.

The limits of round-off bounds are not obtainable in actual practice. The round-off error …

Algebraic Properties Of Endomorphisms Of Abelian Groups And Rings, Johnnie George Slagle

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The main objective of the thesis was to extend the definition of an M-Group to what is called an M-Ring. From this extension a system called an expanded ring follows naturally. To facilitate the development of the expanded ring, chapter I is devoted to developing properties on systems that are not quite rings where many interesting examples are constructed. In chapter II the definition of an M-Ring is given and some of its properties are derived. In chapter III some of the properties of expanded rings are proved, and examples of expanded rings are given to show their existence.

Reliability And Maintainability Sampling Procedures For Life Cycle Cost Evaluation, Doyle H. Harris

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The intent of this thesis is to investigate, develop, and apply techniques to determine the reliability and maintainability of populations of items. These techniques are to be used in determining the total life-time operating costs of the populations so that those items with the lowest life-time costs can be bought. To do this, the author has explored current techniques for determining compliance to some minimum required Mean Time Between Failure (MTBF) in what is referred to as a Phase I testing. After the requirements of Phase I testing have been met, testing may be continued at the option of the …

Geologic Feasibility Of Dam And Reservoir Sites, Blacksmith Fork Canyon, Utah, Alfredo Capistrano Buenaventura

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Two areas along the Blacksmith Fork River, in the Bear River Range southeast of Logan, Utah, were studied as sites for a storage dam and reservoir. An earth dam, 150-200 feet high, and a reservoir of 15,000-20,000 acre-feet are contemplated by the Bureau of Reclamation, U.S. Department of Interior.

The lower area, located about 7 miles east of the mountain front, involves two possible dam sites on limestone. Thick overburden is present in the canyon bottom and on the right abutments. The upper area, located about 2 miles south of the headquarters of the Hardware Ranch, includes two possible dam …

Lake Bonneville History In Cutler Dam Quadrangle, Cache And Box Elder Counties, Utah, G. Glayde Maw

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

When Lake Bonneville spilled through Red Rock Pass at the north end of Cache Valley, the major part of the lake in Salt Lake Valley had to drain from west-to-east through Cutler Dam Quadrangle. Here two major saddles connect the two valleys: (1) Bear River Narrows, at about +4380 feet; and (2) Cache Butte-Wellsville Mountain Pass 4.2 miles south, at about +4970 feet. Spillover levels at both places are cut into older rocks.

Only two morphostratigraphic units are recognized widely in the quadrangle. These represent high stands at the Bonneville level (+5180 ± 20 feet) and at the Provo level …

Topic From Galois Theory, Pai-Yuan Chang

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Galois theory constitutes an excellent introduction group theory and field theory and provides a strong motivation for the introduction of the basic concepts of abstract algebra. This paper explains the basic theory and describes how it is applied to prove the unsolvability "by radicals" of equations of degree n >= 5.

A Conceptual Model Of The San Pitch River Basin, James D. Ballif

Reports

To meet future expected needs for water, the State of Utah will have to plan and manage its limited resources in a judicious manner. Comprehensive water resources planning on a river basin basis is necessary to economically plan and develop the best combination of water uses. Efficient use and management of agricultural water is necessary to maximize the amount available for future needs. Irrigation water management must be improved. Improvements in the organization, storage, distribution, and method of application will be required to meet future demands. Consideration should be given to various combinations of conjunctive use of groundwater and surface …

Hydraulic Characteristics Of A Modified Venturi Section, Muhammad Aslam Rasheed

Reports

The measurement of water in open channels on extremely flat grades is difficult because of the head loss that is necessary. A modified venture section, the contraction of which is provided by a top cover section mounted in a rectangular flume, is proposed to meet the requirements of a suitable measuring device for use in canals of flat gradients. The method of finite differences has been used for the mathematical solution to the idealized inviscid flow problem. This was followed by a laboratory investigation to ascertain the hydraulic characteristics of the proposed design. The experiments were conducted in a 3 …

Water Quality Telemetry First Annual Progress Report, Duard S. Woffinden, Allen D. Kartchner

Reports

No abstract provided.

Linear Programming With Random Requirements, Nak Je Kim

Reports

Linear programming was first developed by George B. Dantzig, Marshall Wood, and associates of the U.S. Air Force, in 1947. At that time, the Air Force organized a research group under the title of project SCOOP (Scientific Computation of Optimum Programs). This project contributed to the developing of a general interindustry model based on the Leontief input-output model, the Air Force programming and budgeting problem, and the problems which involved the relationship between two-person zero sum games and linear programming. The result was the formal development and application of the linear programming model. This project also developed the simplex computational …

Water Resources Research - A Challenge To The Social Scientists, Dean F. Peterson

Reports

No abstract provided.

Feasibility Of Rating Current Meters In A Velocity Field, Gaylord V. Skogerboe, Lloyd H. Austin, Roland W. Jeppson, Chi-Yuan Wei

Reports

Preliminary studies employed an 8-inch (outlet diameter) contracting cone and an 8-inch converging nozzle. The design of the cone is based on an electromagnetic analogy reported by Smith and Wang, while the nozzle was designed assuming potential flow and using numerical methods to obtain the solution. Both designs yielded fairly uniform velocity fields, any deviations being primarily due to either construction or measurement techniques. The towing tank rating for a Pygmy current meter was compared with the submerged jet rating, the difference being 1 or 2 percent. A Prototype system was constructed using a 16-inch contracting cone (d). Two Type …

Air Pollution Control And Abatement Proceedings Of A Symposium, Allen D. Kartchner

Reports

No abstract provided.