Experimental Design for Hanford Low-Activity Waste Glasses with High Waste Loading

Piepel, Gregory F.¹  Cooley, Scott K.¹  Vienna, John D.¹  Crum, Jarrod V.¹ 

[1] Pacific Northwest National Lab. (PNNL), Richland, WA (United States)

关键词: GLASS;    DESIGN;    MIXTURES;    NONLINEAR PROBLEMS;    SULFITES;    LAYERS;    LOW-LEVEL RADIOACTIVE WASTES;    COMPUTER CODES;    SOLUBILITY;    LIMITING VALUES;    CHEMICAL COMPOSITION;    HANFORD ENGINEERING DEVELOPMENT LABORATORY;    Waste glass;    Low-Activity waste;    Experimental design;    Mixture experiment;   

DOI  :  10.2172/1212244
RP-ID  :  PNNL--24391
RP-ID  :  EWG-RPT--006-Rev.0
PID  :  OSTI ID: 1212244
Others  :  Other: 830403000
Others  :  TRN: US1500334

学科分类：核能源与工程

美国|英语

来源: SciTech Connect

【 摘 要 】

This report discusses the development of an experimental design for the initial phase of the Hanford low-activity waste (LAW) enhanced glass study. This report is based on a manuscript written for an applied statistics journal. Appendices A, B, and E include additional information relevant to the LAW enhanced glass experimental design that is not included in the journal manuscript. The glass composition experimental region is defined by single-component constraints (SCCs), linear multiple-component constraints (MCCs), and a nonlinear MCC involving 15 LAW glass components. Traditional methods and software for designing constrained mixture experiments with SCCs and linear MCCs are not directly applicable because of the nonlinear MCC. A modification of existing methodology to account for the nonlinear MCC was developed and is described in this report. One of the glass components, SO₃, has a solubility limit in glass that depends on the composition of the balance of the glass. A goal was to design the experiment so that SO₃ would not exceed its predicted solubility limit for any of the experimental glasses. The SO₃ solubility limit had previously been modeled by a partial quadratic mixture model expressed in the relative proportions of the 14 other components. The partial quadratic mixture model was used to construct a nonlinear MCC in terms of all 15 components. In addition, there were SCCs and linear MCCs. This report describes how a layered design was generated to (i) account for the SCCs, linear MCCs, and nonlinear MCC and (ii) meet the goals of the study. A layered design consists of points on an outer layer, and inner layer, and a center point. There were 18 outer-layer glasses chosen using optimal experimental design software to augment 147 existing glass compositions that were within the LAW glass composition experimental region. Then 13 inner-layer glasses were chosen with the software to augment the existing and outer-layer glasses. The experimental design was completed by a center-point glass, a Vitreous State Laboratory glass, and replicates of the center point and Vitreous State Laboratory glasses.