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The objective of this project was to investigate seismic wave scattering effects, and to assess the existence and impact of mild nonlinear contributions to the attenuation of seismic signals, for purposes of monitoring underground nuclear explosions. We developed an efficient propagation algorithm, and applied it to the problems of understanding conversion of regional phases, coherence of waveforms measured by seismic arrays, and the accuracy of direct versus scattered phases. Experiments related to mild nonlinear attenuation were also reviewed. This final report consists of preprints of three papers which will be submitted for open publication. In the first paper, the accuracy and efficiency of the phase screen method for elastic waves are assessed by comparing with finite difference calculations of elastic wave propagation in 2-D random media. The phase screen method is a forward propagation algorithm which depends only on local S and P wave velocities. Both methods are used to generate synthetic seismograms for a suite of 2-D random media characterized by exponential and von Karman (self-similar) autocorrelation functions of varying strength and correlation length. In the second paper, phase screen simulations of vector wave propagation in elastic random media are applied to two studies relevant to monitoring underground nuclear explosions. Simulated coherence functions for vector waves are compared to analytic and simulated results also assume the Rytov approximation. In the third paper, experiments which reflect the attenuation of propagating pulses in salt in the moderate strain regime of . 001 to .000001, corresponding roughly to ranges of 100 to 10,000 meters from an explosion with yield of 1-kt, are reviewed.

Contents: Organization of the Instruction Manual; Program Dyna1; Program Dyan2; Program Dyna3; Program Dyna4; Program Dyna5; Program WASRX; Program PTRS1; Program PTRS2; Data File Dynaval; Data file Dyncom and Date File WASRFILE., See also Volume 1, AD-A037 052.

Table of Contents: Optimization Techniques Considered; Linear Programming as the Optimization Technique; Adapting the Static IFRS Model to LP; The Military Construction Cost; The Pilot Training Rate (PTR) Maximizer; and Computer Usage and Program Instructions., See also Volume 1, AD-A037 055.

The purpose of the Phase III study was to refine the Static IFRS model and to expand the IFRS concept by developing three additional planning tools for use by Navy decision-makers as follows: Dynamic planning tool; Optimization model; and Fleet Readiness Training Squadron planning tool. The Dynamic planning tool simulates the undergraduate pilot training program on a weekly basis whereas the Static IFRS assumes an even annual flow of students. The Optimization model has two segments-a PTR Maximizer that calculates the maximum annual pilot training rate (PTR) possible for a given facilities inventory and a MCON Minimizer that calculates the minimum facility cost phase-to-base assignment for a desired PTR. The Fleet Readiness Training (FRT) model provides planning information for the readiness training squadrons and is designed similarly to the Static IFRS model. The Phase III documentation consists of the following four reports: The Integrated Facilities Requirements Study (IFRS) Phase III, ORI TR 645; Development of the Automated Dynamic Model for the Integrated Facilities Requirements Study (IFRS) Phase III, ORI TR 646; Development of the Optimization Model for the Integrated Facilities Requirements Study (IFRS) Phase III, ORI TR 647; and Development of the Fleet Air Readiness Training Model for the Integrated Facilities Requirements Study (IFRS) Phase III, ORI TR 648., See also Volume 1, AD-A037 050.

The objective of this study is to develop a first generation, or prototype, optimization model that provides the decision-maker with information concerning where each undergraduate pilot training phase should be located in order to: Maximize the pilot training rate (PTR) for a given facility's inventory (i.e., facility stock); and Minimize the military construction cost (MCON) for a desired PTR. The development of the Optimization model is within the general scope of the Integrated Facilities Requirements Study (IFRS) and is one of the series of management tools developed under the IFRS study., See also Volume 2, AD-A037 056.

Contents: The Dynamic Air Readiness Training Model; Data Initialization; Dynamic Simulation; The Aviation Statistical Report Module; Student Input Module; Shock Module; Error Messages; and The Dynamic IFRS Data Files., See also Volume 3, AD-A037 054.

This report documents the Fleet Readiness Training (FRT) Planning model developed as part of the third phase of the Integrated Facilities Requirements Study (IFRS). In Phase I, two analytic submodels were developed. The first, a Logistics Support Requirements Generator, estimates personnel, aircraft, and fuel requirements for each phase of undergraduate pilot training at the Naval Air Training Command (NATRACOM). The second, a Pacing Facilities Requirements submodel, calculates facility requirements for each phase of training. The purpose of the Phase II study was to develop a preliminary total systems IFRS management planning tool (including the two submodels developed in Phase I, as well as Base Loading, Facilities Excess/Deficiency, and Total Cost submodels), and automate the model so that it provides quick, accurate, and relevant information for use in the decision-making process. This Static IFRS model has been in continuous operation since March 1970. The purpose of the Phase III study was to refine the Static IFRS model and to expand the IFRS concept by developing three additional planning tools for use by Navy decision-makers as follows: Dynamic planning tool; Optimization model; and Fleet Readiness Training Squadron planning tool. The Dynamic planning tool simulates the undergraduate pilot training program on a weekly basis whereas the Static IFRS assumes an even annual flow of students., See also Volume 3, AD-A037 058.

This report documents the Dynamic Planning model developed as part of the third phase of the Integrated Facilities Requirements Study (IFRS). The purpose of the Phase III study was to refine the Static IFRS model and to expand the IFRS concept by developing three additional planning tools for use by Navy decision-makers as follows: Dynamic planning tool; Optimization model; and Fleet Readiness Training Squadron planning tool., See also Volume 2, AD-A037 053.

This report documents the Fleet Readiness Training (FRT) Planning model developed as part of the third phase of the Integrated Facilities Requirements Study (IFRS)., See also Volume 4, AD-A037 059.

This volume describes the overall system characteristics and flow for all computer programs included in the automated Fleet Readiness Training (FRT) model. The purpose of the programmer's manual is to provide the verbal description, flow charts, variable dictionary, program and subroutine dictionary, and program listing for each of the computer programs that constitute the automated model of the FRT. This programmer's manual provides Navy personnel with the information required to understand the logic of the programming and to make changes to the programs as necessary., See also Volume 1, AD-A037 057.

This report summarizes the third phase of the Integrated Facilities Requirements Study (IFRS). It has been prepared for the Systems Analysis Division of the Office of the Assistant Commander for Facilities Planning (Code 20), Naval Facilities Engineering Command (NAVFAC), Department of the Navy, as part of Contract N00025-67-C-0031 (NBy-78672) awarded to Operations Research, Inc., in June 1970., See also Volume 2, AD-A037 051.