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Approaches for the Validation of Models Used for Performance Assessment of High-Level Nuclear Waste Repositories

Olague, N.E.

The purpose of this report is to provide general approaches and concepts that can be applied in validation of models used in performance assessment of high-level waste (HLW) repositories. The approaches are based on a validation strategy that Sandia National Laboratories has implemented as participants in the International Transport Validation Study (INTRAVAL). This strategy focuses on the demonstration that performance assessment models are adequate representations of the real systems they are intended to represent, given the pertinent regulatory requirements rather than proving absolute correctness from the purely scientific point of view. Positions that are taken consist of the following: due to the relevant time and space scales, models that are used to assess the performance of a HLW repository can never be validated; therefore, validation is a process that consists of building confidence in these models and not providing "validated" models; in this context, model validation includes comparisons to "reality," however, adequacy for the given purpose is the overall goal; comparisons to "reality" consist of comparing model predictions against laboratory and field experiments, natural analogues, and site-specific information; when comparing experimental data to model predictions, a model can be either "invalid" or "not invalid," based on the null hypothesis concept, however, confidence in the model arises in finding a model to be "not invalid" over a wide range of conditions; an attempt should be made to consider in the validation process all plausible conceptual models; and when comparing experimental data to model predictions, a logical systematic approach should be followed. This report discusses the definition of validation in the context of performance assessment for HLW repositories, the need for validation, an approach to validation, and an approach to comparing model predictions with experimental data proposed by the authors.

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1990 Sandia rocket-triggered lightning field tests at Kennedy Space Center, Florida

Fisher, R.J.

During 1990, the Sandia Transportable Triggered Lightning Instrumentation Facility (SATTLIF) was designed, fabricated, and fielded at the Kentucky Space Center (KSC) rocket-triggered lighting test range in Florida. In preparation for lighting tests of a specially fitted munitions storage bunker during 1991, instrumentation for directly measuring lightning channel currents and response currents in structures was evaluated and demonstrated to function well. A set of 77-mil-thick 2024-T3 aluminum and 35-mil-thick 4130 steel metallic samples was exposed to measured triggered lighting flash currents. The resultant damage spots on these specimens represent the first such data points produced by known lighting currents. They are intended for use as benchmarks against which to improve and quantify the fidelity of laboratory simulations of lightning penetration. Two particularly significant results were obtained. In the first, a damage spot of approximately 0.3-inch diameter and >0.01-inch depth was produced by a continuing current of well less than median-level severity that transferred less than 13.6 coulombs of charge. In the second case, one of the steel samples was virtually burned through under a return-stroke/continuing current combination transferring an eightieth percentile charge of approximately 49 coulombs. Photographic evidence of upward-going streamers preceding return strokes initiated by dart leaders was also obtained and is presented. 17 refs., 34 figs., 4 tabs.

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Technology teamwork: The role of the national laboratories in implementing US Technology Policy

Dale, Bruce C.

In September 1990, the President's Office of Science and Technology released a document that bears on the future of our nation's technological vigor and economic performance. Entitled, US Technology Policy, it is a statement of a set of broad principles that will constitute the federal government's technology policy for the 1990s. One of the leading principles of this policy is the imperative for cooperation and teamwork among government, industry, and academia, including an active, partnership role for the national laboratories in the mainstream US technology community. Until now, the nation's technology policy has never been explicit, although a tacit technology policy of one sort or another has at all times been in effect. The federal government has consistently been willing to create and fund institutions and programs to promote important national technology goals. Historical examples of such sponsorship include atomic energy, agriculture, aeronautics and space, energy, and medicine. The recognition in US Technology Policy that government has an active role to play in fostering technology development is a particularly significant admission. The vision of a partnership between the federal government and the private sector, as the policy outlines, provides a foundation upon which the national laboratories of the Department of Energy (DOE) can build to play a stronger role in enhancing US economic competitiveness. 6 refs.

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Characterization of electrolyte-binder mixes for use in thermal batteries

Guidotti, Ronald A.

A number of metal oxides were evaluated for their ability to immobilize molten LiCl-KCl eutectic in electrolyte-binder (EB) mixes used in thermally activated batteries. These metal oxides included fumed silicas, alumina, and a titania (all prepared by steam hydrolysis of the halides), floated silicas, MgO, and an alumina molecular sieve. The characteristics of the EB powders that were used as metrics were flow properties, homogeneity, BET surface area, particle-size distribution, and moisture content. The characteristics of EB pellets used as metrics were deformation at 530{degrees}C under an applied pressure and tendency for electrolyte leakage at 400{degrees}C. Many of the same characterization techniques used for EB powders were applied to the LiCl-KCl eutectic, its component halides, and the metal oxides as well. The reproducibility of the properties of several of the standard Sandia EB mixes was evaluated for materials prepared at a number of thermal-battery manufacturing facilities following the same processing procedures. 13 refs., 14 figs., 18 tabs.

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The Impact of Thermal Aging on the Flammability of Electric Cables

Nowlen, Steven P.

An investigation of the impact of thermal aging on the flammability of two common types of nuclear grade electrical cables has been performed. Four large-scale flammability tests were performed with each of the two cable types tested in both an unaged (i.e., new off the reel) and a thermally aged (artificially aged) condition. In all cases, the fire was observed to consume virtually all of the combustible cable jacket and insulation material present. However, for both cable types tested, the thermal aging process caused a decrease in the cable flammability as demonstrated by decreases in the rate of fire growth, peak fire intensity, total heat released and near fire temperatures. This result is consistent with past cable aging studies because it has been observed that the thermal aging process will drive off certain of the more volatile constituents of a polymeric material. Presumably, when these aged materials are subjected to a fire, the evolution of volatile combustible gases is reduced as compared to the unaged materials, and hence, flammability is reduced. The results of these tests indicate that, at least for the two cable types tested, the evaluation of cable flammability using unaged cable samples will remain a conservative indicator of cable flammability in a thermally aged condition.

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A Constitutive Model for Jointed Rock Mass With Two Intersecting Sets of Joints

Chen, Er-Ping C.

This investigation involves the development of a general two- dimensional continuum model to describe jointed rock mass. Chen recently developed a model for the analysis of rock mass containing two orthogonal joint sets. Development of the orthogonal joint set model followed the general formulation of Morland and the special single joint set implementation of Morland`s model by Thomas. Although the orthogonal joint set model has proven useful for analyzing field-scale problems, it remains restrictive in terms of the general field conditions. In this paper, the orthogonal joint set model has been extended to a more general model where the orthogonality restriction has been relaxed. Fundamental approaches remain the same for both models. However, as the general model becomes capable of treating physically more complicated problems, it becomes mathematically more complex. This complexity provides the potential to study more completely the interaction of various parameters representing the characteristics of jointed rock mass behavior. The equation governing the solution of the problem has been given, and example problems have been solved. The behavior of the rock mass predicted by the orthogonal joint set model has been compared to the general model. This model has been developed to aid in characterizing the site of the repository at Yucca Mountain, Nevada, for the potential geologic disposal of radioactive waste. Disposal of high-level nuclear waste is currently being considered by the Yucca Mountain Project, administered by the Nevada Operations Office of the US Department of Energy.

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The distribution of moisture beneath a two-dimensional surface source; Yucca Mountain Site Characterization Project

Martinez, Mario J.

The distribution of moisture beneath a two-dimensional strip source is analyzed by applying the quasi-linear approximation. The source is described by specifying either the moisture content or the infiltration rate. A water table is specified at some depth, D, below the surface, the depth varying from shallow to semi-infinite. Numerical solutions are determined, via the boundary integral equation method, as a function of material sorptivity, {alpha}, the width of the strip source, 2L, and the depth to the water table. The moisture introduced at the source is broadly spread below the surface when {alpha}L {much_lt} 1, for which absorption by capillary forces is dominant over gravity-induced flow. Conversely, the distribution becomes finger-like along the vertical when {alpha}L {much_gt} 1, where gravity is dominant over absorption. For a source described by specifying the moisture content, the presence of a water table at finite depth influences the infiltration through the source when {alpha}D is less than about 4; infiltration rates obtained when the water table depth is semi-infinite are of sufficient accuracy for greater values of {alpha}D. When the source is described by a specified infiltration flux, the maximum allowable value of this flux for which the material beneath the source remains unsaturated is determined as a function of nondimensional sorptivity and depth to the water table. 30 refs., 16 figs., 2 tabs.

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Findings of the ESF Alternatives Study

Stevens, A.L.; Costin, L.S.

This report presents a summary of the conduct and findings of the Exploratory Shaft Alternatives Study. The study basis and findings are presented in sufficient detail to allow the Department of Energy to make an informed decision as to the Exploratory Shaft Facility (ESP)/Repository design option to be used as the basis for resumption of ESF Title 2 design. As a result of the desire for a rigorous, logically defensible analysis and the complexity of the required evaluation, a multi-attribute utility analysis was used as the primary decision-aiding tool. Over 2500 regulations, requirements and concerns were considered under four broad objectives. The analysis resulted in the ranking of 34 options, in accordance with the extent to which each option could achieve the objectives. Additional findings regarding design features that were identified as key elements in an options ability to provide good overall performance are also discussed. 4 figs., 9 tabs.

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Electromagnetic geophysical leaching plume detection experiments - San Xavier Mine Facility, Tucson, Arizona

Lee, D.O.; Wayland, J.R.

The objective of this work was to investigate whether a subsurface plume may be detected and followed using crosshole and surface-to-borehole electromagnetic geophysical techniques. both of these techniques were experimentally demonstrated to be feasible. The presence of the injected plume was easily detected with these methods but additional work must be done to refine the techniques. 5 refs., 15 figs., 1 tab.

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Vulnerability analysis of manufacturing systems: A systematic method for protecting industrial production from disruption

Vannoni, Michael G.

The USDOE initiated the Production Risk Evaluation Program (PREP) at Sandia National Laboratories (SNL) to assess quantitatively the potential for serious production disruption as the result of random failures, accidents, natural disasters, or sabotage at its facilities. SNL developed a procedure incorporating both network and fault tree models that identifies production vulnerabilities. For each production step, a steady-state flow model computers the "critical time,'' which is the maximum period a step can be shut down without preventing the system from achieving production goals. The critical time is then used in fault tree analysis to determine the failure modes that can stop the process for longer than this period. Modular logic modeling is used for constructing the fault trees. Equipment restorable within its critical time need not be considered critical even though it may perform significant work. This paper focuses on sabotage, but the methodology is applicable to analyzing the other production system vulnerabilities mentioned above. The PREP models can be used to identify those plant areas to which a saboteur would need to gain access. A security strategy using graded protection based on a PREP analysis potentially could reduce security costs. PREP methods also provide quantitative insights to develop protection measures that do not infringe upon the liberties of personnel or complicate work practices.

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Environmentally conscious manufacturing at Sandia National Laboratories

Granoff, B.

Environmentally Conscious Manufacturing (ECM) refers to those processes that reduce the harmful environmental impacts of manufacturing, including minimization of hazardous waste, reduction of energy consumption, improvement of materials utilization efficiency, and improvement of operational safety. Approaches involve substitution of non-hazardous for hazardous materials, replacement of existing processes with new, waste-free processes, and increased use of recycle. Reducing waste at the source, through ECM, saves energy and money -- and provides value-added for the production and process. End-of-the-pipe treatment is much more expensive than waste minimization and ECM. Protecting the environment by reducing or eliminating waste is industrially efficient. Industry must create cleaner processes and products that contribute to profitability, rather than just focusing on pollution control. By expanding the return-on-investment equation, it can be shown that manufacturing products without producing hazardous wastes will result in an increase in industrial competitiveness. The optimum time to consider waste minimization is when a manufacturing process is first conceived. A significant and economically beneficial goal would be the development of zero effluent or closed loop manufacturing processes. Several programs at Sandia National Laboratories (SNL) are addressing the issues of waste minimization and pollution prevention through the application of ECM. Many of these programs involve collaboration with other national laboratories, industry, universities, and the production agencies. The following sections will provide a synopsis of Sandia's activities in ECM. 14 refs.

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Process Monitoring of Polyurethane Foam Using Fourier Transform Infrared Spectroscopy

Alberti, J.C.; Ward, K.J.; Blair, D.S.

Polyurethane foams are dispensed into firesets to protect their electrical integrity under extreme environmental conditions. Although the production process has generally high precision, reliability problems have been identified. Preliminary results from a research program involving the use of rapid infrared sensors combined with multivariate analysis to monitor the blend of raw materials in near real time are presented. Two distinct regions of the infrared spectrum are considered. The mid infrared region is shown to make sufficiently precise concentration predictions while the near infrared region will require more experimentation. Both infrared regions will be considered for pilot and/or plant scale studies in order to completely specify the infrared sensor. The concentration predictions from the infrared sensor will be used in a closed loop control system in order to improve the reliability of the process.

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Stoichiometry and irradiation effects in melt grown Tl-Ca-Ba-Cu-O single crystals

Journal of Crystal Growth

Venturini, Eugene L.

Melt-grown crystals in the Tl-Ca-Ba-Cu-O system with the same structure type can have substantial differences in the superconducting transition, both in width and onset temperature. These differences are attributed to stoichiometry variations arising from cation site substitution. Magnetization and electrical resistivity data are presented which emphasize the extreme sensitivity of the superconductivity to the exact stoichiometry in this system. High quality single crystals exhibit large flux creep due to a weak pinning potential for magnetic flux lines. Flux pinning and thus the critical current density are shown to be significantly enhanced by irradiation with high-energy protons or neutrons. © 1991.

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Rationale for revised bin-scale gas-generation tests with contact-handled transuranic wastes at the Waste Isolation Pilot Plant

Lappin, Allen R.

The gas-generation characteristics of contact-handled transuranic waste from Rocky Flats Plant (RFP) and Idaho National Engineering Laboratory (INEL) will be tested at the Waste Isolation Pilot Plant (WIPP) in a series of bin-scale experiments. Bin-scale experiments are necessary because the extreme heterogeneity of CH TRU waste precludes adequate simulation of the waste in the laboratory. A stratified random sample of waste drums will be selected from the collection of drums at RFP and INEL that can be certified for shipment to the WIPP by August 1991. Before the waste is emplaced in the bins, 11 physical characteristics expected to control gas- generation behavior will be measured. These 11 controlling variables'' are expected to apply to all existing and future transuranic waste throughout the Department of Energy complex. Experiments will examine gas generation by radiolysis, microbial degradation, corrosion, and any synergistic mechanisms under many of the environmental conditions that will or may occur in the WIPP repository during the next 10,000 years. Because gas-generation behavior will be interpreted in terms of the controlling variables, gas generation by existing RFP/INEL waste that is not currently shippable, existing waste at other sites, and future waste can be predicted from the results of the WIPP bin-scale experiments. The results of the bin-scale experiments will support the WIPP Project's evaluation of compliance with 40 CFR 191, 40 CFR 268, and the National Environmental Policy Act. 55 refs., 13 figs., 18 tabs.

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A Hugoniot study on PMMA manufactured by Polycast Technology Corporation

Matthews, J.D.; Weirick, L.J.

A series of impact experiments on polymethyl methacrylate (PMMA) manufactured by Polycast Technology Corporation has recently been completed using a light gas gun. The intent of this work was to compare these Hugoniot data with those data from a previous study on PMMA manufactured by Rohm and Haas. The results show that there are no significant differences in Hugoniot parameters for the two materials in the pressure range of 1.9 to 6.9 GPa. 8 refs., 10 figs., 3 tabs.

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Recommendations for cask features for robotic handling from the Advanced Handling Technology Project

Drotning, W.

This report describes the current status and recent progress in the Advanced Handling Technology Project (AHTP) initiated to explore the use of advanced robotic systems and handling technologies to perform automated cask handling operations at radioactive waste handling facilities, and to provide guidance to cask designers on the impact of robotic handling on cask design. Current AHTP tasks have developed system mock-ups to investigate robotic manipulation of impact limiters and cask tiedowns. In addition, cask uprighting and transport, using computer control of a bridge crane and robot, were performed to demonstrate the high speed cask transport operation possible under computer control. All of the current AHTP tasks involving manipulation of impact limiters and tiedowns require robotic operations using a torque wrench. To perform these operations, a pneumatic torque wrench and control system were integrated into the tool suite and control architecture of the gantry robot. The use of captured fasteners is briefly discussed as an area where alternative cask design preferences have resulted from the influence of guidance for robotic handling vs traditional operations experience. Specific robotic handling experiences with these system mock-ups highlight a number of continually recurring design principles: (1) robotic handling feasibility is improved by mechanical designs which emphasize operation with limited dexterity in constrained workspaces; (2) clearances, tolerances, and chamfers must allow for operations under actual conditions with consideration for misalignment and imprecise fixturing; (3) successful robotic handling is enhanced by including design detail in representations for model-based control; (4) robotic handling and overall quality assurance are improved by designs which eliminate the use of loose, disassembled parts. 8 refs., 15 figs.

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Penetration in metal targets: A numerical and experimental study of the metal-tack fastener applied to high strength steels

Hoffman, Edward L.

A dynamic finite element analysis was performed to study the penetration mechanics of a commercial fastener called Metal-Tack{reg sign}. This study evaluated the fastener and identified parametric changes required for attachment to AISI 1070 steel (R{sub c} = 26), a material harder than the fastener was designed for. A set of baseline calculations was performed to evaluate the fastener's performance in yellow brass, a much softer material. The analysis indicated that a driving energy of 3.03 ft{center dot}lbs was required to drive the tack into yellow brass. Excellent correlation of this model with experimental data provided confidence for applying the model to AISI 1070 steel. Tack performance was investigated with respect to variations in driving energy and tack strength. The results demonstrated that increasing driving energy was not sufficient for a successful attachment in the steel. An increase in tack strength was also required. Higher tack strength was obtained by increasing the heat treat specification of the tack material, Carpenter R.D.S. steel, to obtain a hardness of R{sub c} = 60. With this increase in strength and a driving energy of 20.8 ft{center dot}lb, the results indicated that the tack would attach but develop high plastic strain (21.5%) during attachment. The calculations were confirmed with tests using a high energy pyrotechnic driver developed to attach the tack. Finally, a geometry modification intended to reduce stress concentrations in the tack was evaluated experimentally but not computationally. The experimental results indicated an improvement in the tack strength and attachment quality. 4 refs., 19 figs., 4 tabs.

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Procedures used in the calibration of AC calibrators

Salazar, M.T.

This report describes an automatic calibration system used in the calibration of all precision AC calibrators. The system includes an AC-DC Transfer Standard, a DC Voltage Standard, and a high-resolution digital multimeter, with an IBM-XT Personal Computer for data acquisition and analysis. Specialized instrumentation and measurement techniques make it possible to achieve high accuracy measurements with repeatability. 5 refs., 3 figs.

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Compilation of selected marine radioecological data for the Formerly Utilized Sites Remedial Action Program: Summaries of available radioecological concentration factors and biological half-lives

Gomez, L.S.; Marietta, M.G.; Jackson, D.W.

The Formerly Utilized Sites Remedial Action Program has updated an extensive objective concentration factor and biological half-life data base from the international marine radioecological literature. A microcomputer-based data management system has been implemented to provide statistical and graphic summaries of these data. The data base is constructed in a manner which allows subsets to be sorted using a number of interstudy variables such as organism category, tissue/organ category, geographic location (for in situ studies), and several laboratory-related conditions (e.g., exposure time and exposure concentrator). This report updates earlier reviews, and provides summaries of the tabulated data. In addition to the concentration factor/biological half-life data base, we provide an outline of other published marine radioecological works. Our goal is to present these data in a form that enables those concerned with predictive assessment of radiation dose in the marine environment to make a more judicious selection of data for a given application. 588 refs., 18 figs., 3 tabs.

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PTTSA Action Plan Report

Nickell, William C.

The Pre-Tiger Team Self-Assessment (PTTSA) Report identified findings with respect to the way Sandia National Laboratories (SNL), Albuquerque, (including Tonopah Test Range (TTR) and Kauai Test Facility (KTF)) conducts its environment, safety, and health (ES H) activities. It presented Action Plan Requirements (APR) addressing these findings. The purpose of this PTTSA Action Plan Report is to assist in managing these action plan requirements by collecting, prioritizing, and estimating required resources. The specific objectives addressed by this report include: collection of requirements for the resolution of the findings presented in the PTTSA Report; consolidation of proposed Action Plan Requirements into logical Action Plan groupings for efficiency of resolution; categorization of Action Plans according to severity of the hazards represented by the findings; provision of a basis for long-range planning and issues management; documentation of the status of the proposed corrective actions; establishment of traceability of the corrective action to the original problem or issue; and integration of these plans into the existing ES H structure. The Action Plans in this report are an intermediate step between the identification of a problem or a finding in the PTTSA Report and the execution of the solution. They consist of requirements for solution, proposed actions, and an estimate of the time and (where applicable) resources required to develop the solution. This report is an input to the process of planning, resource commitment, development, testing, implementation, and maintenance of problem resolution. 2 figs.

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HEART handbook for guest editors

Vittitoe, C.N.

This handbook outlines the basic job of guest editors for the HEART Conference proceedings, published by the DoD Nuclear Information and Analysis Center in the Journal of Radiation Effects, Research and Engineering. Suggestions are offered for procedures to aid the editors, authors, reviewers, and the publisher in assuring that the journal communicates clearly, concisely, and honestly.

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A discussion of the xenon laser intensity as a function of pump rate

Brannon, P.J.

The output intensity of a laser can be expressed in the form I{sub out} = Ag{sub 0}I{sub s} + BI{sub s}. The constants A and B are independent of the pump rate for laser systems with nonsaturable losses, but both g{sub 0}I{sub s} and I{sub s} can depend upon the pump rate. Methods for determining the pump rate dependence of g{sub 0}I{sub s} and I{sub s} are given for experiments in which the pump rate varies continuously. 6 refs., 1 fig.

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A self-cohering technique for linear arrays using the Phase Gradient Autofocus Algorithm

Wahl, Daniel E.

A towed linear hydrophone array is subject to snakelike bending. If the array were processed as if it were truly linear, poor array gain coupled with a degraded source bearing estimate would result. The signal phase errors produced by sensor position uncertainty in passive sonar arrays are similar to those observed in Synthetic Aperture Radar (SAR) imagery. The Phase Gradient Autofocus (PGA) Algorithm has been shown to be a robust and effective method used to extract degrading phase errors prevalent in SAR imagery. This report shows that with slight modifications, the PGA algorithm can be applied to correct phase errors resulting from sensor position uncertainty introduced into linear-passive arrays. The results of the technique applied to simulated linear array data is also presented. 9 refs., 8 figs.

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User`s manual for the NEFTRAN II computer code

Olague, N.E.

This document describes the NEFTRAN II (NEtwork Flow and TRANsport in Time-Dependent Velocity Fields) computer code and is intended to provide the reader with sufficient information to use the code. NEFTRAN II was developed as part of a performance assessment methodology for storage of high-level nuclear waste in unsaturated, welded tuff. NEFTRAN II is a successor to the NEFTRAN and NWFT/DVM computer codes and contains several new capabilities. These capabilities include: (1) the ability to input pore velocities directly to the transport model and bypass the network fluid flow model, (2) the ability to transport radionuclides in time-dependent velocity fields, (3) the ability to account for the effect of time-dependent saturation changes on the retardation factor, and (4) the ability to account for time-dependent flow rates through the source regime. In addition to these changes, the input to NEFTRAN II has been modified to be more convenient for the user. This document is divided into four main sections consisting of (1) a description of all the models contained in the code, (2) a description of the program and subprograms in the code, (3) a data input guide and (4) verification and sample problems. Although NEFTRAN II is the fourth generation code, this document is a complete description of the code and reference to past user`s manuals should not be necessary. 19 refs., 33 figs., 25 tabs.

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Estimates of Spatial Correlation in Volcanic Tuff, Yucca Mountain, Nevada: Yucca Mountain Site Characterization Project

Rautman, Christopher A.

The spatial correlation structure of volcanic tuffs at and near the site of the proposed high-level nuclear waste repository at Yucca Mountain, Nevada, is estimated using samples obtained from surface outcrops and drill holes. Data are examined for four rock properties: porosity, air permeability, saturated hydraulic conductivity, and dry bulk density. Spatial continuity patterns are identified in both lateral and vertical (stratigraphic) dimensions. The data are examined for the Calico Hills tuff stratigraphic unit and also without regard for stratigraphy. Variogram models fitted to the sample data from the tuffs of Calico Hills indicate that porosity is correlated laterally over distances of up to 3000 feet. If air permeability and saturated conductivity values are viewed as semi-interchangeable for purposes of identifying spatial structure, the data suggest a maximum range of correlation of 300 to 500 feet without any obvious horizontal to vertical anisotropy. Continuity exists over vertical distances of roughly 200 feet. Similar variogram models fitted to sample data taken from vertical drill holes without regard for stratigraphy suggest that correlation exists over distances of 500 to 800 feet for each rock property examined. Spatial correlation of rock properties violates the sample-independence assumptions of classical statistics to a degree not usually acknowledged. In effect, the existence of spatial structure reduces the ``equivalent`` number of samples below the number of physical samples. This reduction in the effective sampling density has important implications for site characterization for the Yucca Mountain Project.

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Results 95551–95575 of 96,771
Results 95551–95575 of 96,771