Diploma thesis in Physics submitted by Florian Freundt born in ...

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A.3. Fractionation-Values A Calculations For the measured pressures see Table B.6. Gaussian error propagation (∆V2) 2 = (∆Vinlet) 2 = �� p1 p2 A.3 Fractionation-Values ⇒ Vinlet = p1 (V1 + Vkl) − (V1 + Vkl) − V2 p3 � p1 = (V1 + Vkl) − 1 − p3 p1 � + 1 p2 � � p1 = (V1 + Vkl) � �2 �� p1 − 1 ∆V1 + p2 p3 − p1 p2 � �2 − 1 ∆Vkl �� 2 �� (V1 + Vkl) + ∆p1 + − p2 (V1 + Vkl)p1 p2 2 � �2 ∆p2 �� p1 − p3 p1 � �2 �� p1 ∆V1 + − p2 p3 p1 � �2 ∆Vkl p2 �� (V1 + Vkl) + − p3 (V1 � �2 �� + Vkl) ∆p1 + − p2 (V1 + Vkl)p1 p2 2 � �2 ∆p2 �� + − (V1 + Vkl)p1 p3 2 � �2 ∆p3 The Fractionation-Values are calculated based on Kendrick et al. [2006], but use 40 Ar instead of 36 Ar as the reference isotope, since in this study’s environment, influences by radiogenic 40 Ar are negligible. F X = � X � � 40Ar sample � X � 40Ar air (A.7) where X stands for the noble gas isotopes. The F-Value define a mixing line between atmospheric composition and measured composition, if a sample noble gas isotope has an F-Value of 1 its volume mixing ratio equals that of atmospheric air. 78
Appendix B Data Table B.1: Parameters for fitting noble gas solubilities from Benson and Krause [1976]. Noble gas a0 a1 [ ◦ K] a2 [ ◦ K 2 ] He -5.0746 -4127.8 627250 Ne -4.2988 -4871.1 793580 Ar -4.2123 -5239.6 995240 Kr -3.6326 -5664.0 1122400 Xe -2.0917 -6693.5 1341700 Table B.2: Results of measuring a test gas comprised of 15.0 % O2, 2.0 % CO2, 2.2 % CH4 and 100 ppm CO using the BM2000. The data indicates that the device slightly overestimates the O2 levels, but remains well within the given accuracy of 1 %. CO2 [Vol%] CH4 [Vol%] O2 [Vol%] CO [ppm] 1.8 2.1 15.3 107 1.8 2.1 15.4 107 1.9 2.1 15.5 108 1.9 2.0 15.6 107 1.8 2.1 15.4 106 1.8 2.1 15.3 106 1.8 2.1 15.3 106 1.9 2.1 15.2 106 1.9 2.1 15.2 105 1.9 2.1 15.3 105 1.9 2.1 15.1 104 1.9 2.1 15.1 104 79
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Faculty of Physics and Astronomy He
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Measuring annual variation of soil
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CONTENTS CONTENTS 3.1 Setup of the
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Chapter 1 Introduction Understandin
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1 Introduction Molins and Mayer [20
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2.1. Noble gas temperatures 2 Theor
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2.2. Physical processes and propert
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2.2. Physical processes and propert
Page 28 and 29: 2.3. Soil atmosphere composition 2
Page 35 and 36: Chapter 3 Sampling sites and method
Page 37 and 38: 3 Sampling sites and methods 3.1. S
Page 43 and 44: Chapter 4 Measuring methods 4.1 Mas
Page 45 and 46: 4 Measuring methods 4.1. Mass spect
Page 47: 4 Measuring methods 4.2. On site me
Page 50 and 51: 5.2. Temperature profiles 5 Results
Page 52 and 53: 5.3. O2 and CO2 profiles 5 Results
Page 54 and 55: 5.4. Borehole sealing 5 Results 5.4
Page 56 and 57: 5.4. Borehole sealing 5 Results Fig
Page 58 and 59: 5.5. Noble gases 5 Results 8 days,
Page 60 and 61: 5.5. Noble gases 5 Results 5.5.3 So
Page 62 and 63: 5.5. Noble gases 5 Results 5.5.4 So
Page 64 and 65: 6 Discussion This rather extreme am
Page 66 and 67: )! )! *+,-./-01234*-56-20301.7*38*9
Page 68 and 69: 6 Discussion Table 6.1: Synthetic d
Page 71: Chapter 7 Summary The results of th
Page 74 and 75: 8 Outlook Considering the manifold
Page 76 and 77: A.1. Gas sample size A Calculations
Page 80 and 81: Table B.3: Noble gas volume mixing
Page 82 and 83: Table B.5: Calculated values of rel
Page 84 and 85: Table B.8: Precipitation record of
Page 86 and 87: Table B.10: Complete dataset of nob
Page 89 and 90: Appendix C Additional plots and fig
Page 91 and 92: C Additional plots and figures Figu
Page 93 and 94: C Additional plots and figures �
Page 97 and 98: C Additional plots and figures O 2
Page 99 and 100: C Additional plots and figures 4 He
Page 101 and 102: C Additional plots and figures 20 N
Page 105 and 106: C Additional plots and figures 10 1
Page 107 and 108: Appendix D Datasheets 107
Page 109 and 110: D Datasheets LogTag TREX-8 Technica
Page 111 and 112: Bibliography [Aeschbach-Hertig 1994
Page 113 and 114: BIBLIOGRAPHY BIBLIOGRAPHY [Friedric
Page 115 and 116: BIBLIOGRAPHY BIBLIOGRAPHY [Riveros-
Page 117: Acknowledegment At the end of this
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