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5.1 As part of the VE/VA study, perform function analysis after the collection of relevant information and prior to the identification of alternatives.5.2 This practice provides a specific understanding of what must be accomplished and provides the basis for stimulating the creative phase of the value methodology. This is accomplished by naming and analyzing the functions and using the functions of the VE/VA study to generate ideas and alternative solutions.5.3 This practice establishes a communication format through which all stakeholders can understand the project, product, or process.5.4 This practice presents a method by which stakeholders’ needs and desires are compared to the cost to satisfy those needs and desires.5.4.1 Function cost data help the user identify the alternatives and their functions that are highly valued with respect to their cost, thereby targeting opportunities for increasing value.5.4.2 Targeting is done by identifying the low preference/high cost functions and high preference/low cost functions. These data will be used in the VE/VA study as a basis to create alternative solutions.5.5 This practice helps stakeholders to formulate a strategy to maximize values.5.6 Functions are also used to define criteria to compare alternatives.1.1 This practice covers a logical structure for the function analysis of a project, product, or process.1.2 This practice provides a system to identify, define, and clearly communicate the purpose of a project, product, or process and the associated elements of the project, product, or process.1.3 This practice covers the relationship between the functions that must be satisfied and the resources for a project, product, or process to accomplish those functions.1.4 The values stated in SI units are to be regarded as standard. The values given in parentheses after SI units are provided for information only and are not considered standard.1.5 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety, health, and environmental practices and determine the applicability of regulatory limitations prior to use.1.6 This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.

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Many thousands of water samples are collected each year and the chemical components are determined from natural groundwater sources. A single analysis can be interpreted easily regarding composition and geochemical type; however, it is difficult to comprehend all of the factors of similarities, interrelationships, and differences when large numbers of analyses are being compared. One of the methods of interpreting the implication of these chemical components in the water is by displaying a number of related water analyses graphically on a visually summarizing water analysis diagram. The water analysis diagrams described in this guide display the percentages of the individual cation and anion weights of the total cation and anion weights on graphs shaped as triangles, squares, diamonds, and rectangles. Note 3—The concentration of dissolved solids determined for each analysis is not evident by the plotted location. Scaled symbols, usually circles, can represent the amount of dissolved solids for each analysis plotted on the diagrams. Classification of the composition of natural groundwater is a major use of water analysis diagrams. Note 4—Palmer (20) developed a tabular system for the classification of natural water. Hill (1) classified water by composition using two trilinear and one diamond-shaped diagrams of his own design combined. Back (21) improved the classification techniques for determining the hydrochemical facies of the groundwater by a modification of the Piper diagram. The origin of the water or degree of mixing may be postulated by examination of the placement and relationship of the cations and anions from different water samples that are plotted on the diagrams. Numerous interpretive methods are possible from the examination of water analysis diagrams. For example, it is reasonable to hypothesize the path that the groundwater has traveled while in the hydrologic regime, the amount of mixing that has occurred with water from a different origin, and the effects of ambient conditions, such as air, temperature, rock, and man-induced contaminants, on the water. Note 5—It should be noted that for many hydrochemical research problems involving the interpretation of the origin, chemical reactions, and mixing of natural water, the water analysis diagram is only one segment of several analytical methods necessary to understand the condition.1.1 This guide covers the category of water analysis diagrams that use two-dimensional trilinear graphs as a technique for displaying the common chemical components from two or more complete analyses of natural groundwater (see Section 3) on a single diagram. This category includes not only trilinear-shaped diagrams but also the diamond- or parallelogram-, rectangular-, or square-shaped graphs that have trilinear subdivisions. 1.2 This guide is the first of several documents to inform professionals in the field of hydrology with the traditional graphical methods available to display groundwater chemistry. Note 1—Subsequent guides are planned that will describe the other categories of diagrams that have been developed to display groundwater chemical analyses. (1) A guide for diagrams based on data analytical calculations will include those categories of water analysis graphs in which one analysis is plotted on each diagram (for example, the pattern, bar, radial, and circle diagrams). (2) A guide for statistical diagrams will include those categories of water analysis graphs in which multiple analyses are analyzed statistically and the results plotted on the diagram (for example, the box, etc.). 1.3 Numerous methods have been developed to display the ions dissolved in water on trilinear diagrams. These diagrams are valuable as a means of interpreting the physical and chemical mechanisms controlling the composition of water. 1.4 The most commonly used trilinear methods were developed by Hill (1-3), Langelier and Ludwig (4), Piper (5, 6), and Durov (7-13). These techniques are proven systems for interpreting the origin of the ions in natural groundwater and for facilitating the comparison of results from a large number of analyses. Note 2—The use of trade names in this guide is for identification purposes only and does not constitute endorsement by ASTM. 1.5 This guide offers an organized collection of information or a series of options and does not recommend a specific course of action. This document cannot replace education or experience and should be used in conjunction with professional judgment. Not all aspects of this guide may be applicable in all circumstances. This ASTM standard is not intended to represent or replace the standard of care by which the adequacy of a given professional service must be judged, nor should this document be applied without consideration of a project's many unique aspects. The word “Standard” in the title of this document means only that the document has been approved through the ASTM consensus process.

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