Physical Sciences and Mathematics Commons^™

Geology Of Southern Part Of The James Peak Quadrangle, Utah, Jan G. Blau

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The mapped area, in north-central Utah, is centered about 22.6 miles south of Logan, Utah. It measures about 3.8 miles in the north-south direction and 6.6 miles in the east-west direction. Stratigraphic units of Precambrian and Cambrian age underline most of the area. The Precambrian units are as follows: (1) Maple Canyon Formation, (2) Kelley Canyon Formation, (3) Orthoquartzite unit, (4) Argillite unit, (5) Mutual Formation, and (6) Volcanic unit. The Brigham Formation, which overlies the Precambrian volcanic unit, is probably of Cambrian age; however, the lower part may be Precambrian. The overlying Cambrian carbonate unit is not differentiated. The …

Residual Nitrogen As It Affects Soil Fertility Under Irrigated Agriculture In A Tropical Wet-Dry Climate, Don Carlos Kidman

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

In the Zapotitan Valley near San Andres, El Salvador, Central America, an experiment was conducted to determine the availability of residual soil N to corn grown during the rainy season. This was an extension of an experiment conducted during the preceding dry season. The variables of the dry season experiment were irrigation method, crop, and rate of fertilizer N application. Soil NO₃-N and NH₄-N were determined by soil sample analysis to a soil depth of 120 cm by 30 cm depth increments. The samples were taken at the end of the dry season experiment and again …

Distribution Of Available Phosphorus In The Subsoil Of Selected Pedons Of The Warm Springs Series, Duane Altman Lammers

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The Warm Springs soil series which contained variable amounts of subsoil available (sodium bicarbonate extractable) phosphorus was studied to explain the variability and distribution of the NaHCO₃-P in the subsoil. Four pedons ranging in subsoil NaHCO₃-P from less than 10 ppm to greater than 30 ppm were selected in an area of less than 200 ha located on a nearly level, low lake terrace east of the Great Salt Lake in Weber County, Utah.

The morphology of each pedon was described in the field and samples collected from each genetic horizon or contrasting layer. Each soil …

A Model To Predict The Effect Of Salinity On Crop Growth, Stuart W. Childs

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A model is developed to predict the effects of soil salinity on crop growth. As an outgrowth and extension of the modelling efforts of Nimah and Hanks (1973a) and Gupta (1972), this model makes these principal assumptions in order to arrive at a quantitative relationship: 1) relative yield for a growing season is directly related to the ratio of actual and potential transpiration. 2) Water uptake by plants is in response to the water potential gradient between the plant at the soil surface and the soil surrounding the plant roots. 3) the effect of salinity on crop growth is solely …

The Influence Of Roots On The Accuracy Of Soil-Moisture Measurements Taken With A Neutron Moisture Meter, Terry L. Andreessen

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The effects of roots on soil-moisture measurements taken with a neutron probe were studied. These effects were observed under three different soil-moisture conditions, with different sized roots, and with varying distances between the access tube and root. The moisture conditions used were air dry, field capacity, and saturated.

Large roots can greatly affect neutron soil-moisture measurements when the access hole is drilled through the root. Positive errors as large as 52 percent were found when the soil moisture was at field capacity. With dry and saturated conditions positive errors of 43 percent and 38 percent respectively, were found.

In most …

The Computation Of Eigenvalues And Eigenvectors Of An Nxn Real General Matrix, Yeh-Hao Ma

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

The eigenvalues of the matrix eigenproblem Ax = λx are computed by the QR double-step method and the eigenvectors by inverse power method.

The matrix A is preliminarily scaled by the equilibration and normalization procedure. The scaled matrix is then reduced to an upper-Hessenberg form by Householder's method. The QR double-step iteration is performed on the upper-Hessenberg matrix. After all the eigenvalues are found, the inverse power method is performed on the upper-Hessenberg matrix to obtain the corresponding eigenvectors.

The program consists of five subroutines which is able to find real and/or complex eigen value/vector of an nxn real matrix.

Program For Missing Data In The Multivariate Normal Distribution, Chi-Ping Lu

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

Missing data can often cause many problems in research work. Therefore for carrying out analysis, some procedure for obtaining estimates in the presence of missing data should be applied. Various theories and techniques have been developed for different types of problems.

Analysis of the Multivariate Normal Distribution with missing data is one of the areas studied. It has been discussed earlier by Wilkes (1932), Lord (1955), Edgett (1956) and Hartley (1958). They have established some basic concepts and an outline in the way of estimation.

In the last ten years, A. A. Afifi and R. M. Elasfoff also have contributed …

Multivalue Methods, Clayton V. Henrie

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

Methods of solving ordinary differential equations with initial conditions are of a great importance to engineers and scientists. Many of these equations can be solved by well-known analytical techniques, but a greater number of physically significant differential equations cannot be so solved. Thus, the solutions of these equations must be approximated numerically. It is the purpose of this paper to investigate the techniques used in solving differential equations with initial conditions by "multivalue methods."

Discriminant Function Analysis, Kuo Hsiung Su

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

The technique of discriminant function analysis was originated by R.A. Fisher and first applied by Barnard (1935). Two very useful summaries of the recent work in this technique can be found in Hodges (1950) and in Tosuoka and Tiedeman (1954). The techniques have been used primarily in the fields of anthropology, psychology, biology, medicine, and education, and have only begun to be applied to other fields in recent years.

Classification and discriminant function analyses are two phases in the attempt to predict which of several populations an observation might be a member of, on the basis of multivariate measurements. Both …

An Evaluation Of Bartlett's Chi-Square Approximation For The Determinant Of A Matrix Of Sample Zero-Order Correlation Coefficients, Stephen M. Hattori

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

The single equation least-squares regression model has been extensively studied by economists and statisticians alike in order to determine the problems which arise when particular assumptions are violated. Much literature is available in terms of the properties and limitations of the model. However, on the multicollinearity problem, there has been little research, and consequently, limited literature is available when the problem is encountered. Farrar & Glauber (1967) present a collection of techniques to use in order to detect or diagnose the occurrence of multicollinearity within a regression analysis. They attempt to define multicollinearity in terms of departures from a hypothesized …

Multivariate Analysis Of Variance For Simple Designs, Yin-Yin Chen

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

The analysis of variance is a well known tool for testing how treatments change the average response of experimental units. The essence of the procedure is to compare the variation among means of groups of units subjected to the same treatment with the within treatment variation. If the variation among means is large with respect to the within group variation we are likely to conclude that the treatments caused the variation and hence we say the treatments cause some change in the group means.

The usual analysis of variance checks how far apart the group means are in a single …

The Navigational History Of Bear River: Wyoming, Idaho, Utah, C. Gregory Crampton, Steven K. Madsen

Elusive Documents

No abstract provided.

The Impacts Associated With Energy Developments In Carbon And Emery Counties, Utah Part Iii: Land, Water And Air Resources And Possible Conflicts Of Their Use, Rodney D. Millar

Elusive Documents

No abstract provided.

Food And Distribution Of Underyearling Brook And Rainbow Trout In Castle Lake, California, Wayne A. Wurtsbaugh, R. Brocksen, C. Goldman

Watershed Sciences Faculty Publications

A difference was found in the summer distribution of underyearling brook trout, Salvelinus fontinalis (Mitchill), and planted rainbow trout, Salmo gairdneri Richardson, in Castle Lake, California. Brook trout underyearlings oriented to the bottom and were found primarily in shallow water on the eastern shore of the lake near springs. The rainbow trout underyearlings were more pelagic and were found in the littoral areas along the entire shoreline. Gravimetrically, the food eaten during the summer by brook trout underyearlings was 13% terrestrial, 11% limnetic, and 76% benthic. Rainbow trout ate 15% terrestrial, 15% limnetic, and 70% benthic food. In summer, rainbow …

Development Of A Management Framework Of The Great Salt Lake, J. Paul Riley, Calvin G. Clyde, William J. Grenney, Yacov Y. Haimes, Craig T. Jones

Reports

No abstract provided.

Auroral Energy Input From Energetic Electrons And Joule Heating At Chatanika, Vincent B. Wickwar, M J. Baron, R D. Sears

All Physics Faculty Publications

With the incoherent scatter radar at Chatanika, Alaska, a wide variety of measurements can be made related to the ionosphere, magnetosphere, and neutral atmosphere. A significant parameter is the amount of energy transferred from the magnetosphere into the ionosphere and neutral atmosphere during periods of auroral activity. In this report we examine a procedure whereby the incident energy flux of auroral electrons is ascertained from radar measurements. As part of the process we compare radar-determined fluxes with those ascertained from simultaneous photometric observations at 4278 Å. The fluxes obtained by both techniques had similar magnitudes and time variations. If we …

Colorado River Regional Assessment Study Part One: Executive Summary, Basin Profile, And Report Digest, Utah Water Research Laboratory

Reports

No abstract provided.

Urban Storm Runoff Inlet Hydrograph Study Volume 1: Computer Analysis Of Runoff From Urban Highway Watersheds Under Time- And Space-Varying Rainstorms, Chen-Lung Chen

Reports

The main objective of this study is to develop an accurate design method for computing inlet hydrographs of surface runoff, with average recurrence intervals of 10, 25, and 50 years, from typical urban highway by flood routing technique. The most comprehensive mathematical model based on the method of characteristics was developed for computing the runoff inlet hydrograph. All flood routing methods were extensively reviewed and the most efficient and accurate technique was adopted for the formulation of a numerical (computer) model including all the rainfall-runoff processes on a highway watershed. Accuracy of the computer model was then examined by comparing …

Economic Value Of Water-Oriented Recreation Quality, E. Boyd Wennergren, Herbert H. Fullerton, John E. Keith, Robin Meale

Reports

No abstract provided.

An Application Of The Utah State University Watershed Simulation Model To The Entiat Experimental Watershed, Washington State, David S. Bowles, J. Paul Riley, George B. Shih

Reports

To study the effects of a forest fire on runoff characteristics, the Utah State University Watershed Simulation Model (USUWSM) has been applied to three small drainage areas in the Entiat Experimental Watershed which is located within the Wenatchee National Forest of central Washington. Each component of the USUWSM has been described in the report, including structural changes to the model that were necessary to achieve reasonable agreement between observed and simulated runoff hydrographs. Lack of information on the spatial distribution and precipitation due to the absence of an adequate precipitation gaging network on or close to the study area was …

Modeling Phytoplankton Blooms In A Stratified Embayment, William J. Grenney

Reports

A mathematical model was developed to simulate the nitrogen limited growth dynamics of phytoplankton in a stratefied embayment. The representation of biological growth dynamics includes consideration of intracellular nutrient storage as well as the effects of temperature and light intensity. Several competing species can be represented simultaneously. Model hydrodynamics represent the effects of vertical mixing in the water column on the physical distribution of nutrients and phytoplankton. Sinking velocities of the cells are also included. The model was applied to Auke Bay, Alaska, and model responses are compared to data observed during the spring and summer of 1967.

Impacts Of Energy Development On Utah Water Resources, Barry C. Saunders

Reports

Introduction: Choosing a theme for a conference especially one for a group of diverse disciplines such as the American Water Resources Association encompasses, is always a challenge. you find yourself torn between thigns you'd really like to talk and hear about, and topics you think will draw attendance. It was most fortunate when somebody came up with the idea of Water for Energy, becasue to my way of thinking, it met both of these ends. There is no denying that starting in late 1973, energy has been the catchword, and the energy crisis has been the bandwagon to leap upon. …

The Natural Salinity Of The Colorado River, Stewart J. Williams

Reports

No abstract provided.

Urban Storm Runoff Inlet Hydrograph Study Volume 4; Synthetic Storms For Design Of Urban Highway Drainage Facilities., Cheng-Lung Chen

Reports

The main objective of this study is to develop an accurate design method for computing inlet hydrographs of surface runoff, with average recurrence intervals of 10, 25, and 50 years, from typical urban highway by flood routing technique. Knowledge of the time distribution of rainfall in heavy storms constitutes a basis for the design of an urban storm sewer system. A unified time-coordinate system and the rainfall intensity-duration-frequency relationships are used to develop the generalized synthetic (design) hyetograph equations for all types of storms. The hyetograph equations are further normalized for identifying the dimensionless parameters that play predominant roles in …

A Water-Land Use Management Model For The Sevier River Basin, V. A. Narasimhan, Eugene K. Israelsen

Reports

A hydrologic model for the Sevier River Basin above Sevier Bridge Reservoir was developed. The model considers large space increments on a monthly time increment. Additional data would improve the reliability of the model developed for some subbasins. A daily hydrologic model was also calibrated to the Circle Valley Subbasin. Data requirements for a daily model using small space increments seems to negate the possibility of the micro-model, for the present at least.

Nutrient Dynamics And Gas Production In Aquatic Ecosystems: The Effects And Utilization Of Mercury And Nitrogen In Sediment-Water Microcosms, D. B. Porcella, V. D. Adams, P. A. Cowan, S. Austrheim-Smith, W F. Holmes, J. Hill Iv, W. J. Grenney, E. J. Middlebrooks

Reports

Sixteen sediment-water microcosms designed to allow complete gas, liquid, and solid mass balances of gases, nutrients, and mercury were studies under dark conditions or varying light intensity for a period of 189 days. Results indicated that the microcosm technique is a very sensitive method of analyzing microbial dynamics in sediment water systems. Gas quantity and composition changes were easy to monitor and were especially sensitive to light and nutrient variations. Nitrogen fixation occurred in all lighted systems (blue-green algae nitrogen fixers, Anabaena, and others) and was adequate to insure that no nitrogen limitation occurred even though nitrogen limitation was imposed …

Biostimulation And Nutrient Assessment, Thomas E. Mahoney, A. G. Payne, C. M. Weiss, W. E. Miller, J. C. Greene, T. Shiroyama, R. A. Soltero, A. F. Gasperino, D. T. Specht, R. M. Gerhold, P. D. Uttormark, J. P. Wall, J. H. Reynolds, E. J. Middlebrooks

Reports

No abstract provided.

Colorado River Regional Assessment Study Part Two: Detailed Analyses: Narrative Description, Data, Methodology, And Documentation, Utah Water Research Laboratory

Reports

No abstract provided.

Development Of A Dynamic Programming Model For The Regionalization And Staging Of Wastewater Treatment Plants, Stanley L. Klemetson, William J. Grenney

Reports

No abstract provided.

Optimization Of Water Allocation, Wastewater Treatment, And Reuse Considering Nonlinear Costs, Seasonal Variations, And Stochastic Supplies, A. Bruce Bishop, Rangesan Narayanan, Suravuth Pratishthananda, Stanley L. Klemetson, William J. Grenney

Reports

Two significant, interrelated water resources problems are: (1) efficiently salvaging and reusing effluent water in order to augment limited water supplies; and (2) economically managing and treating wastewater to meet water quality standards. Using systems engineering and operations research techniques, the report focuses on the optimal management and use of water of impaired quality in a water resources system, including utilization or irrigation return flows and other poor quality water, water quantity and quality management systems, and wastewater reclamation opportunities. The study develops a mathematical programming transportation or transshipment model formulated for the Lower Jordan River Basin in Utah. The …