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102                          Geothermal Energy: Renewable Energy and the Environment


              The values for these ratios can be measured by mass spectrometry, but the absolute values for
            each isotope are not routinely measured. Generally, a standard with an assigned or measured isoto-
            pic ratio is used as the basis for evaluating other samples of interest. For oxygen and hydrogen iso-
            tope measurements the standard has generally been Standard Mean Ocean Water (SMOW), and the
            isotopic composition of a sample is expressed as the difference from SMOW in parts per thousand,

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                            18
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                           δ O = {[( O/ O) sample  − ( O/ O) SMOW ]/( O/ O) SMOW } × 1000
                                     16
                                               18
                              δD = {[(D/H) sample  − (D/H) SMOW ]/(D/H) SMOW } × 1000.
              Substances that are isotopically lighter than SMOW will consequently have a negative δ O and
                                                                                     18
            δD. Other standards have also been used, resulting in different δ O and δD values. It is thus impor-
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            tant to know what standard was used in an analysis in order to allow quantitative comparison of
            different samples.
              Meteoric water has a range of δ O and δD values that depends upon the latitude and eleva-
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            tion at which precipitation occurs. This reflects the significant impact isotopic fractionation has
            during evaporation and condensation at different temperatures. However, the range of values is
            constrained to a linear array by the fact that the primary source for meteoric water is the ocean.
            Fractionation of oxygen and hydrogen differ by the ratio of their respective fractionation factors,
            which necessitates that they will be linearly related. Figure 6.10 shows the line that delineates
            the δ O and δD meteoric water linear relationship. Most surface waters and groundwaters fall
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            on  this  line.  Deviations  from  this  line  indicate  that  the  measured  water  has  a  history  more
            complex than single stage evaporation and precipitation, and can be used to identify potential
            geothermal targets.



                        0                                        Sea water
                              Meteoric water       Lanzarote
                                                                           “Andesitic”
                                             Broadlands
                                           Larderello                        water
                      –50              The Geysers                          Primitive
                                                                            magmatic
                                   Salton sea                                water
                               Lassen peak
                    δ D  –100  Steamboat
                            Springs


                     –150
                               Yellowstone Park



                     –200
                        –20       –15      –10       –5         0        5        10
                                                     18
                                                     δ O
                               18
            FIGUre 6.10  δD and δ O values for waters from geothermal areas. (Modified from Craig, H., Nuclear
            Geology in Geothermal Areas, Spoleto, Consiglio Nazionale delle Ricerche, Pisa, Italy: Laboratorio di
            Geologia Nucleare, 17–53, 1963; Craig, H., Science, 154, 1544–48, 1966; Truesdell, A. H. and Hulston, J. R.,
            Handbook  of  Environmental  Isotope  Geochemistry,  Vol.  I.,  The  Terrestrial  Environment,  Amsterdam:
            Elsevier, 179–226, 1980; Giggenbach, W. F., Earth and Planetary Science Letters, 113, 495–510, 1992.)
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