Physical Sciences and Mathematics Commons^™

Attitudes For Environmental Planning In The 1970'S, Dean F. Peterson

Reports

No abstract provided.

Statistical Relationships Between Storm And Urban Watershed Characteristics, V. V. Dhruva Narayana, M. Akbar Sial, J. Paul Riley, Eugene K. Israelsen

Reports

Because of the rapid urban development in recent years, hydrologic problems associated with urban watersheds have gained importance. Large sums of money are being spent for the design of urban drainage systems based upon inadequate procedures for predicting peak runoff rates. In this report a procedure is proposed for predicting peak runoff rates from small urban and rural watersheds based upon measurable storm and watersheds characteristics. The technique was tested for a number of runoff events on the Boneyard Creek watershed at Urbana, Illinois, and the results of this test are included. The procedure will be particularly useful for estimating …

Optimizing Conjunctive Use Of Groundwater And Surface Water, James H. Milligan, Calvin G. Clyde

Reports

Mathematical models for groundwater and surface-water systems are formulated and solved on a digital computer using linear programming for optimizing the water use of the system. Post-optimal analysis, including sensitivity analysis of the objective function coefficients and right-hand side terms, is also applied to the models. The models which are developed include a general deterministic model, a general stochastic model in which hydrologic inputs are allowed to be probabilistic, and models of two simple, but real, river basins. The advantages of linear programming analysis are demonstrated by the computer solutions which can be obtained by this method of optimization. The …

Publications Of The Utah Water Research Laboratory, Utah Water Research Laboratory

Reports

No abstract provided.

Subcritical Flow At Open Channel Structures Open Channel Expansions, Lloyd H. Austin, Gaylord V. Skogerboe, Ray S. Bennett

Reports

Analyzing the hydraulics of open channel constrictions has been modified to allow the analysis of energy loss in open channel expansions. The modified technique has been compared with previous methods of analysis using data collected in the laboratory on open channel expansions with vertical walls, and triangular-shaped baffles. Also, a design procedure for such baffled outlet structures has been developed.

The Function Of Social Behavior In Water Resource Development , Wade H. Andrews, Dennis C. Geertsen

Reports

Preface: This report is an analysis of a social survey of the middle and lower Bear River Basin of southeastern Idaho and northern Utah concerning the problem of water resource development in a semiarid region of the Western United States. The survey part of the study, carried out in the summer of 1966, dealt with both general social factors and a specific proposal made by the Bureau of Reclamation for developing water resources of the Bear River. In many respects this proposal and the resulting behavior is typical of other western river basin projects, in some other ways, however, it …

A Theoretical Study Of Infiltration Into Range And Forest Soils, Joel E. Fletcher, Yehia Z. El-Shafei

Reports

More than 400 rainfall simulator experiments were examined to detect which soil properties could be used to computer infiltration time relationships. Three theoretical equations were tested to determine their efficacy for calculating infiltration time relationships from soil and site characteristics. It was shown that both the modified Green and Ampt and Fletcher equations could by successfully used. Darcian type equations were developed on laboratory type samples which would show the relations between soil, solution and rainfall properties and infiltration. These latter equations have not been tested on undisturbed soils but give excellent agreement between measured and computed values for time …

Hydrograph Synthesis For Watershed Subzones From Measured Urban Parameters, Joseph B. Evelyn, V. V. Dhruva Narayana, J. Paul Riley, Eugene K. Israelsen

Reports

An analog computer program was developed to simulate the outflow hydrographs at four locations within the 38th Street Waller Creek urban watershed at Austin, Texas. Actual outflow was gaged at the final outlet of the watershed. This provided a checkpoint for comparing the simulated and observed final outflow hydrographs. The outflow hydrographs for each subzone were obtained by chronologically abstracting interception, infiltration, and depression storage from their precipitation hyetographs. These outflow hydrographs were then routed through Waller Creek channel to obtain the hydrographs at the four desired locations. The advantages of this model are the flexibility in varying the precipitation …

Computer Simulation Of The Hydrologic-Salinity Flow System Within The Upper Colorado River Basin, M. Leon Hyatt, J. Paul Riley, M. Lynn Mckee, Eugene K. Israelsen

Reports

Changes in the hydrologic equilibrium of a river basin resulting from resource development also produce changes in the quality pattern. Since the burden of quality maintenance must be shared by users (just as are quantities) predictions are needed for quality changes which might result from contemplated development at any specified location within the river system. This study reports the development of a computer simulation model of the water and salt flow systems within the Upper Colorado River basin. Because of the close relationship between the hydrologic and salinity flow systems, an understanding of the hydrologic system is essential to successful …

Interpretation Of A Unified Theory Of Gravitation And Symmetry Breaking, David Peak, A Inomata

All Physics Faculty Publications

The formalism of Moen and Moffat is interpreted as a Yang-Mills theory set in a space-time generally endowed with curvature and torsion.

Some Aspects Of Geochemistry And Mineralogy Of Bear Lake Sediments, Utah-Idaho, Dean F. Davidson

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Bear Lake is located in southeastern Idaho and north-central Utah. The lake has a maximum altitude of 5923 feet and an area of approximately 110 square miles. Surrounding the lake are carbonates, shales, and sandstones of lower Paleozoic through middle Mesozoic ages. The many streams and springs that originate in these rocks are probably the main contributors to the chemistry of the lake. Water from Bear River, which flows into the north end of the lake, also contributes to its chemistry.

Quartz, aragonite, dolomite, calcite and clay minerals are the main minerals in the lake-bottom sediments. Quartz is generally the …

Stochastic Processes Model And Its Application In Operations Research, Chun Yuan Hsu

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

Just as the probability theory is regarded as the study of mathematical models of random phenomena, the theory of stochastic processes plays an important role in the investigation of random phenomena depending on time. A random phenomenon that arises through a process which is developing in time and controlled by some probability law is called a stochastic process. Thus, stochastic processes can be referred to as the dynamic part of the probability theory. We will now give a formal definition of a stochastic process.

Let T be a set which is called the index set (thought of as time), then, …

Partially Balanced Incomplete Block Designs, Yaw-Tarng Shih

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

In balanced incomplete block designs, each pair of treatments is compared with equal precision, and each treatment is paired with every other treatment an equal number of times with in a common block; A is a constant for all treatments. There is one associate class for each treatment in balanced incomplete block designs. These are the most important balanced incomplete block designs, but the need sometimes arises for others; either because no suitable balanced incomplete block design exists, or because, for example, it is necessary to make some comparisons more precisely than others. We can see balanced incomplete block designs …

A Study To Discover The Supply And Demand Of Industrial Arts Teachers In Utah, L. Gyle Hollingsworth

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

With the increase in population and corresponding growth in school enrollment in the state of Utah, the need for more adequate educational facilities becomes ever more apparent. New schools will have to be built and older ones enlarged in order to accommodate the increasing enrollment and need. As a natural consequence , additional teachers will be needed to fill the positions made available by the expansion of the present educational facilities. This requirement will be supplemented by the need for maintaining the present level of teaching staff in view of the outflow of teachers from the system, some through retirement, …

The Practical Solutions And Computer Program Of Two Statistical Problems In Simulation, Yee Fong

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

In the last several years monte-carlo simulation has become a major tool for the analysis of complex queuing systems which are no readily amenable to analysis by conventional mathematical methods. By a complex queueing system is mean a system composed of, physically or by analogy, a network of stations or servers with traffic units moving through all or some of the servers, into the system and out or around within the system. A traffic unit desiring service by a server may either have to enter a queue first or may be served immediately. Such systems have been simulated often with …

A Concept Of Buoyancy In Topological Spaces, With Applications To The Foundations Of Real Variables, Elwyn David Cutler

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The Buoyancy Theorem states that a compact set is buoyant if every point of the compact set has a neighborhood whose intersection with the compact set is buoyant. In this paper, the Buoyancy Theorem is used to prove several standard results involving compact sets. The proof of such a result may be a direct application of the Buoyancy Theorem or the proof may rely on a certain compactness argument which follows from the Buoyancy Theorem. The last application in this paper is such an example.

The method used is to, first of all, define a buoyancy on the compact set; …

Analysis Of Contingency Tables, James Joseph Biundo

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Two methods of analyzing multi-dimensional frequency data are detailed.

The Second Order Exponential (SOE) model is applicable for dichotomous classifications. The distribution has two sets of parameters, ϴ_i's and ϴ_j's. The ϴ_i's are interpreted as the log of the odds of the marginal probabilities if no two factor relationships exist. Or if all ϴ_ij are not zero, then the ϴ_i's are analogous to a main effect in a 2^m factorial analysis, (m = number of factors or classifications). The ϴ_if's may be interpreted as a measure and direction …

Generation Of Random Numbers, Keith H. Eberhard

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Subroutines are written to generate random numbers on the computer. Depending on the subroutine used, the generated random numbers follow the uniform, binomial, normal, chi-square, t, F, or gamma distribution. Each subroutine is tested using the chi-square goodness of fit test to verify that the random numbers generated by each subroutine follow the statistical distribution for which it is written. The interpretation of the test results indicates that each subroutine generates random numbers which closely approximates the theoretical distribution for which it is designed.

The approach used in the subroutine which generates gamma distributed random numbers involves the use of …

Paleoecology Of The Lowermost Part Of The Jurassic Carmel Formation, San Rafael Swell, Emery County, Utah, R. Joseph Dover

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Paleoecology of the lowermost Carmel Formation, San Rafael Swell, Emery County, Utah, was studied at nine localmes 2 to 21 miles apart. Eight of the sections contain fossiliferous calcilutites and oölmc limestones in the basal 35 to 135 feet measured. Thickness of the fossiliferous beds ranges up to 10 feet. Beds of barren calcilutites, calcarenites, oölmc limestones, intraclastic limestones, calcareous sandstones, and bedded gypsum, separate the fossiliferous beds. A parallel-bedded, basal quartz sandstone, 0.5 to 7 feet thick, everywhere overlies the Navajo Formation.

Molluscs dominate faunal assemblages. Shells are recrystallised to calcite, but external sculpture is preserved in sufficient detail …

Structural Geology Of Southeastern Margin Of Bear River Range, Idaho, Clinton L. Davis

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Seven Cambrian formations and two Ordovician formations, with a total thickness of 9,000 feet, crop out west of the Paris thrust fault and comprise the upper plate. Slices of three Ordovician formations, one Silurian formation, two Mississippian formations, and one formation each of Pennsylvanian and Permian age comprise the low plate. Mesozoic units are not present in the mapped area. Two Tertiary formations and unconsolidated Quaternary deposits are also present.

The major structural feature is the Paris thrust fault which extends north-south throughout the area. It was active during the Laramide orogeny. This fault involved eastward movement and placed Cambrian …

Salinity And Water Potential Sensor For Evaluation Of Soil Water Quality, Melvin Dee Campbell

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The objective of this study was to evaluate response times of a salinity sensor and a soil psychrometer. Influences of pressure, temperature and molar concentration changes were to be measured.

Salinity sensor response times ranged from 50 to 130 minutes during solution adsorption while desorption response times were perhaps ten times as long. Temperature affected both response times and equilibrium values, but pressure did not affect either.

Soil psychrometer response times ranged from from 40 to 80 minutes for either adsorption or desorption of solution. However, other factors probably related to indirectness of measurement made the soil psychrometer fail to …

Environmental Analysis Of The Swan Peak Formation In The Bear River Range, North-Central Utah And Southeastern Idaho, Philip L. Vandorston

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The Swan Peak Formation in the Bear River Range of northern Utah and southeastern Idaho varies in thickness from 0 feet to over 400 feet. It consists of three units: (1) a lower unit of interbedded quartzites, shales, and limestones; (2) A middle unit of interbedded quartzites and shales; (3) An upper unit of nearly homogeneous quartzites. The different sedimentary structures, ichnofossils, body fossils, and mineral compositions of each unit represent different environments of deposition. The lower unit probably was deposited in a shallow-shelf environment, and its sediments grade upward into probably shoreface-, tidal-flat-, and lagoonal deposits of the middle …

A Formula To Express Evapotranspiration As A Function Of Soil Moisture And Evaporative Demands Of The Atmosphere, Aldo L. Norero

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A mathematical expression was developed and tested which describes the relation between evapotranspiration and soil moisture. A general premise of this mathematical model is that the evapotranspiration-soil moisture relationship is determined by interaction of climatic, soil and plant factors. The basic model is

dETa/dYs = -ke[1-(ET_a/ET_mx)]

in which ET_a is the actual evapotranspiration, Ψ_s is the total soil water potential, k is a proportionality coefficient, ∈ is the soil moisture extraction capacity of the atmosphere , and ET_mx is the evapotranspiration that would occur from a particular crop-soil unit when soil moisture was …

Catalytic Effect Of Soil Components On The Nitrite Transformation In Buffer Acid Solutions, Laxman G. Kuratti

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Nitrite decomposition in buffer solutions of pH 3, 4, and 5 was observed to be a first order reaction with rate constants (k) 6.39 x 10^-3, 1.15 x 10^-3, and 0.17 x 10^-3, respectively. When 10 grams of two different soils were introduced, the reaction was catalyzed in all three pH conditions studied. This effect, however, was more pronounced in pH 5.

When 10 grams of soil were introduced, all the added nitrite was not recovered. The deficit ranged from 17 to 30 parts per million when 150 parts per million nitrite nitrogen was …

The Hyrum And Beirdneau Formations Of North-Central Utah And Southeastern Idaho, James F. Eliason

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The Hyrum and Beirdneau Formations of North-central Utah and Southeastern Idaho represent rocks of late Middle Devonian (Givetian) to upper Upper Devonian (Famennian) age. They are disconformably underlain by the Early Devonian Water Canyon Formation in most cases and disconformably overlain by the Devonian-Mississippian Leatham Formation or the Mississippian Lodgepole Formation.

The Hyrum Formation is divided into five members based on lithology and color changes. The five members are: (1) Samaria, (2) Lower Dolomite, (3) Lower Carbonate-detritus, (4) Upper Dolomite, and (5) Upper Carbonate-detritus Members. The Samaria Member is the only fossiliferous unit within the Hyrum Formation.

The Beirdneau Formation …

Bayesian Inference For Decision Making, Ming-Yih Kao

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

In recent years, Bayesian inference has become very popular in applied statistics. This study will present the fundamental concept of Bayesian inference and the basic techniques of application to statistical quality control, marketing research, and other related fields.

Computer Programs For Incomplete Block Designs, Fred Miller

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

In most disciplines where research is involved, there exists an occasional problem of having minimal facilities and/or funds for conducting experiments. This often necessitates the use of designs known as incomplete block designs.

Since the calculations needed to provide an appropriate statistical analysis are somewhat tedious, particularJ..y in the larger designs, it is advantageous to have computer programs to do the necessary calculations.

There are several computer programs at Utah State University written in Fortran II language with Forcom subroutines that perform the analyses for incomplete block designs. These programs, for the most part, were authored by Justus Seely and …

A Study Of The Exponential Distirbutions And Their Applications, Michael Chang-Yu Wang

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

The exponential distribution is a widely known distribution i n statistical theory. It can be regarded as the continuous analogue of the Poisson distribution, discussed by S. D. Poisson in 1837. The Poisson is a limiting form of the Binomial distribution which can be t race d back as early as 1700, discussed by James Bernoulli. A paper by Marsden and Barratt (1911) on the radioactive disintegration of thorium gives a typical frequency distribution which follows the exponential law (8, p. 89). The exponential distribution has achieved importance recently in connection with the theory of stochastic process and has found …

Capitol Reef Historical Survey And Base Map, Lenard E. Brown

Elusive Documents

No abstract provided.

Conversion Pinyon-Junifer Woodland To Grassland, Richard S. Aro

Elusive Documents

No abstract provided.