PetroLab1 (2) - PGE424 Lab 1 Measurement and Error Analysis...

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PGE424 Lab 1 – Measurement and Error Analysis Andrew Chou The University of Texas at Austin TABLE OF CONTENTS
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The Short Summary - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - (4) Objective/Goal - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - (4) Background/Theory - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - (4) Description of Equipment - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - (5) Hazards/Safety Considerations - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - (8) Discussion of Procedure - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - (9) Discussion of Results - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - (10) Conclusions/Recommendations - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - (16) LIST OF FIGURES Figure 1: Vernier Calipers (5) 2
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Figure 2: Meter Stick (5) Figure 3: Analytical Balance (6) Figure 4: Mercury Pump (6) Figure 5: Pycnometer (7) Figure 6: Hydrometer (8) Figure 7: Density Error Calculations for Experiment 1-1 (12) Figure 8: Density Error Calculations for Experiment 1-2 (13) Figure 9: Specific Gravity Error Calculations for Experiment 1-2 (14) Figure 10: Density Error Calculations for Experiment 1-3 (15) LIST OF TABLES Table 1: Data collected for Experiment 1-1 (10) Table 2: Results obtained from Experiment 1-1 (11) Table 3: Data collected for Experiment 1-2 (12) Table 4: Results obtained from Experiment 1-2 (13) Table 5: Data collected for Experiment 1-3 (14) Table 6: Results obtained from Experiment 1-3 (15) THE SHORT SUMMARY 3
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The diameter, length, bulk volume, and weight of a core sample were measured by meter stick, vernier calipers, mercury pump, and analytical balance, and the average values were taken to calculate three densities for one sample of rock. ρ meter = 2.13 g/cm 3 , ρ calipers = .00207 g/mm 3 , and ρ pump = 2.08 g/mL. The errors were calculated through partial derivatives: ε meter = 8.37 x 10 -3 g/cm 3 , ε calipers = 4.61 x 10 -8 g/mm 3 , ε pump = 8.06 x 10 -3 g/cm 3 . From these results, it can be said the calipers were the most accurate but impractical for irregularly shaped samples. The mercury pump would be ideal for any shape samples but it would contaminate the core, and the meter stick is the least accurate. The density and specific gravity of water were also calculated through a pycnometer and a hydrometer yielding: ρ pycnometer = 0.9994 g/mL, ρ hydrometer = 0.999 g/mL and γ pycnometer = .9994. From this it initially seems that the pycnometer works just as well as a hydrometer, however when the errors are evaluated, the hydrometer has much lower error than the pycnometer. ε pycnometer = 1.56 x 10 -3 g/cm 3 and ε hydrometer = 4.81 x 10 -4 g/mm 3 . The density of oil was also measured with the hydrometer for a value of 0.851 g/mL, with an error of ε hydrometer = 7.55 x 10 -4 g/mL. OBJECTIVE/GOAL
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This note was uploaded on 11/10/2010 for the course PGE 323K taught by Professor Lake during the Spring '08 term at University of Texas at Austin.

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PetroLab1 (2) - PGE424 Lab 1 Measurement and Error Analysis...

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