Sensitivity analysis of a no-crossflow model for the transient flowmeter test

Stochastic Environmental Research and Risk Assessment

Volumn 16, Issue 6, 2002, Pages 399-424

  Kabala, Z J ^a   El Sayegh, H K ^a   Gavin, H P ^a  

^a Duke University   (United States)

Author keywords

Ground water; Sensitivity analysis; Transient flowmeter test

Indexed keywords

EID: 33847122517     PISSN: 14363240     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00477-002-0113-5     Document Type: Article

References (66)

1. Anbarci K, Grader AS, Ertekin T (1989) Determination of front locations in multilayer composite reservoir, paper SPE 19799 presented at the SPE Annual Meeting, San Antonio, TX
2. Bishop KA, Brett VS, Green DW, McElhiney JE (1976) 51st Annual Fall Technical Conference and Exhibition of the Society of Petroleum Engineers of AIME, New Orleans
3. Bourdet D (1985) Pressure Behavior of Layered Reservoirs with Crossflow, paper SPE 13628 presented at the SPE California Regional Meeting, Bakersfield
4. Butler JJ (1988) Pumping tests in nonuniform aquifers - the radially symmetric case. J. Hydrol. 101: 15-30
5. Butler JJ, Liu WZZ (1991) Pumping tests in nonuniform aquifers - the linear strip case. J. Hydrol. 128(1-4): 69-99
6. Butler JJ, Liu WZZ (1993) Pumping tests in nonuniform aquifers - the radially asymmetric case. Water Resour. Res. 29(2): 259-269
7. Butt MA, McElwee CD (1985) Aquifer-parameter evaluation from variable-rate pumping tests using convolution and sensitivity analysis. Ground Water 23(2): 212-219
8. Chen L, Rabitz H, Considine DB, Jackman CH, Shorter JA (1997) Chemical reaction rate sensitivity and uncertainty in a two-dimensional middle atmospheric ozone model. J. Geophys. Res.-Atmos. 102(D13): 16201-16214
9. Cob PM, McElwee CD, Butt MA (1982) Analysis of leaky aquifer pumping test data: an automated numerical solution using sensitivity analysis. Ground Water 20(3): 325-333
10. Datta-Gupta A, Vasco DW, Long JCS (1997) On the sensitivity and spatial resolution of transient pressure and tracer data for heterogeneity characterization. SPE Formation Evaluation 137-144
11. De Hoog FR, Knight JH, Stokes AN (1982) An improved method for numerical inversion of Laplace transforms. SIAM J. Stat. Comput. 3: 357-366
12. Deif AS (1996) Sensitivity Analysis in Linear Systems, Springer-Verlag, New York
13. Ehlig-Economides C, Joseph J, Erba M, Vik SA (1986) Evaluation of single-layered Transients in multilayered Systems. SPE European Petroleum, held in London
14. Ehlig-Economides C, Joseph J (1987) A new test for determination of individual layer properties in a multilayered reservoir. SPE Formation Evaluation
15. El-Sayegh HK (2000) The Transient Flowmeter Test for Aquifer Characterization, dissertation, Department of Civil and Environmental Engineering, Duke University, Durham, North Carolina
16. Kabala ZJ, El-Sayegh HK (2002) Transient flowmeter test: semi-analytic crossflow model. Adv. Water Res. 25(1): 103-121
17. Gomes E, Ambastha AK (1993) An Analytical Pressure-Transient Model for Multilayered, Composite Reservoirs With Pseudosteady-State Formation Crossflow, SPE Western Regional Meeting held in Anchorage, Alaska, USA
18. Gomes E, Ambastha AK (1994) An analytical pressure-transient model for complex reservoir scenarios. Computers and Geosciences 20(7-8): 57-69
19. Hada S (1977) Utilization and interpretation of micro flowmeter. Engineering Geology (Japan) 18: 26-37
20. Hamilton DC, Watts DG (1985) Quadratic design criterion for precise estimation in nonlinear regression models. Technometrics 27(3): 241-250
21. Hatzignatiou DG, Ogbe DO, Dehghani K, Economides MJ (1987) Interference Pressure Behavior in Multilayered Composite Reservoirs 62nd Annual Technical Conference and Exhibition of the Society of Petroleum Engineers held in Dallas, TX
22. Hess AE (1986) Identifying hydraulic conductive fractures with a slow-velocity borehole flowmeter. Canadian Geotechnical Journal 23: 69-78
23. Hueni GB, Jones RE, Fitzgerald KM, Kohlhaas CA (1990) 65th Annual Technical Conference and Exhibition of the Society of Petroleum Engineers held in New Orleans, LA
24. Hufschmied P (1983) Ermittlung der Durchlassigkeit von Lockergesteins-Grundwasserleitern, eine Vergleichende Untersuchung verschiedener Feldmethoden, Doctoral Dissertation No. 7397, ETH, Zurich, Switzerland
25. Javandel I, Witherspoon PA (1969) A method of analyzing transient fluid flow in multi-layered aquifers. Water Resour. Res. 5: 856-869
26. Jiao JJ, Zheng C (1997) The different characteristics of aquifer parameters and their implications on pumping-test analysis. Ground Water 35(1): 25-29
27. Kabala ZJ (2001) Sensitivity analysis of a pumping test on a well with wellbore storage and skin. Adv. Water. Res. 24(5): 483-504
28. Kabala ZJ, Milly PCD (1990) Sensitivity analysis of flow in unsaturated heterogeneous porous media: theory and numerical model. Water Resour. Res. 26(4): 593-610
29. Kabala ZJ, Milly PCD (1991a) Sensitivity analysis of infiltration, evaporation and redistribution in unsaturated Miller-similar porous media. Water Resour. Res. 27(10): 2655-2666
30. Kabala ZJ, Milly PCD (1991b) Sensitivity analysis of partial differential equations: a case for the functional sensitivity approach. Numer. Meth. Partial Differential Equations 7(2): 101-112
31. Keys WS, Sullivan JK (1978) Role of borehole geophysics in defining the physical characteristics of the Raft River geothermal reservoir, Idaho. Geophysics 44: 1116-1141
32. Knopman DS, Voss CI (1987) Behavior of sensitivities in the one-dimensional advection-dispersion equation: implications for parameter estimation and sampling data. Water Resour. Res. 23(2): 253-272
33. Knopman DS, Voss CI (1988) Further comments on sensitivities, parameter estimation, and sampling design. Water Resour. Res. 24(2): 225-238
34. Knopman DS, Voss CI (1989) Multiobjective sampling design for parameter estimation and model discrimination in groundwater solute transport. Water Resour. Res. 25(10): 2245-2258
35. Knopman DS, Voss CI, Garabedian SP (1991) Sampling design for groundwater solute transport: tests of methods and analysis of Cape Cod tracer test data. Water Resour. Res. 27(5): 925-949
36. Koda M, Dogru AH, Seinfeld JH (1979) Sensitivity analysis of partial differential equations with applications to reaction and diffusion processes. J. Comput. Phys. 30: 259-282
37. McElwee CD (1987) Sensitivity analysis of groundwater models. In: Advances in Transport Phenomena in Porous Media, Bear J, Corapcioglu MY (eds), NATO Advanced Study Institute Ser. E, 128, pp. 751-817
38. McElwee CD, Bohling GC, Butler JJ (1995a) Sensitivity analysis of slug tests. 1. The slugged well. 164(1-4): 53-67
39. McElwee CD, Butler JJ, Bohling GC, Liu W (1995b) Sensitivity analysis of slug tests. 2. The Observation well. J. Hydrol. 164(1-4): 69-87
40. McElwee CD, Yukler MA (1978) Sensitivity of groundwater models with respect to variations in transmissivity and storage. Water Resour. Res. 14(3): 451-459
41. Molz FJ, Morin H, Hess AE, Melville JG, Güven O (1989) The impeller meter for measuring aquifer permeability variations: Evaluation and comparison with other tests. Water Resour. Res. 25: 1677-1683
42. Molz FJ, Güven O, Melville JG (1990) A new approach and methodologies for characterizing the hydrogeologic properties of aquifers, Report EPA/600/2-90/002, US Environmental Protection Agency, Ada, OK
43. Morita N, Gray KE (1981) Type curve matching techniques with error sensitivity numbers. SPE Formation Evaluation
44. Munoz-Carpena R, Parsons JE, Gilliam JW (1999) Modeling hydrology and sediment transport in vegetative filter strips. 214(1-4): 111-129
45. Paillet FL, Hess AE, Cheng CH, Hardin E (1987) Characterization of fracture permeability with high-resolution vertical flow measurements during borehole pumping. Ground Water 25(1): 28-40
46. Paillet FL (1993) Using borehole geophysics and cross-borehole flow testing to define hydraulic connections between fracture zones in bedrock aquifers. J. Appl. Geophysics 30: 261-279
47. Paillet FL (1995) Using borehole flow logging to optimize hydraulic-test procedures in heterogeneous fractured aquifers. Hydrogeology Journal 3(3): 4-20
48. Papadopulos IS, Cooper HH. Jr (1967) Drawdown in a well of large diameter. Water Resour. Res. 3: 241-244
49. Rapach JM, Jefferies R, Guedroudj AH, Westaway PJ (1990) Practical transient multilayer test design, implementation, and analysis of gas wells in the North Sea, Southern Basin, SPE Paper #20534, 65th SPE Annual Technical Conference and Exhibition, held in New Orleans, LA
50. Rabitz H (1987) Chemical dynamics and kinetics phenomena as revealed by sensitivity analysis techniques. Chem. Rev. 87: 101-112
51. Rehfeldt KR, Hufschmied P, Gelhar LW, Schaefer ME (1989) The borehole flowmeter technique for measuring hydraulic conductivity variability, Report No. EN 6511, Electric Power Research Institute, Palo Alto, CA
52. Reuven Y, Smooke MD, Rabitz H (1987) Sensitivity analysis of one-dimensional mixed initial-boundary value problems: application to freely propagating premixed laminar flames. J. Sci. Comput. 2(4): 345-370
53. Ruud NC, Kabala ZJ (1996) Numerical evaluation of flowmeter test interpretation methodologies. Water Resour. Res. 32(4): 845-852
54. Ruud NC, Kabala ZJ (1997a) Response of a partially penetrating well in a heterogeneous aquifer: integrated well-face flux versus uniform well-face flux boundary conditions. J. Hydrol. 194(1-4): 76-94
55. Ruud NC, Kabala ZJ (1997b) Numerical evaluation of the flowmeter test in a layered aquifer with a skin zone. J. Hydrol. 203(1-4): 101-108
56. Ruud NC, Kabala ZJ, Molz FJ (1999) Numerical evaluation of head-loss effects in the flowmeter test. J. Hydrol. 224: 55-63
57. Schimschal U (1981) Flowmeter analysis at Raft River, Idaho. Ground Water 19: 93-97
58. Shah PC, Karakas M, Kuchuk F, Ayestaran LC (1988) Estimation of the permeabilities and skin factors in layered reservoirs with downhole rate and pressure data. SPE Formation Evaluation
59. Sim Y, Chrysikopoulos CV (1996) One-dimensional virus transport in porous media with time-dependent inactivation rate coefficients. Water Resour. Res. 32(8): 2607-2611
60. Stehfest H (1970) Numerical inversion of Laplace transforms. Commun. ACM 13: 47-49
61. Sudicky EA (1986) A natural gradient experiment on solute transport in a sand aquifer: spatial variability of hydraulic conductivity and its role in the dispersion process. Water Resour. Res. 22: 2069-2082
62. Tebes-Stevens CL, Valocchi AJ (2000) Calculation of reaction parameter sensitivity coefficients in multicomponent subsurface transport models. Adv. Water Res. 23(6): 591-611
63. Vasco DW, Datta-Gupta A (1999) Asymptotic solutions for solute transport: a formalism for tracer tomography. Water Resour. Res. 35(1): 1-16
64. Wolfram S (1996) The Mathematica Book, 3rd edn., Wolfram Media/Cambridge University Press
65. Young SC (1995) Characterization of high-K pathways by borehole flowmeter and tracer tests. Ground Water 33: 311-318
66. Zhou ST, Stone PH (1993) The role of large-scale eddies in the climate equilibrium. 2. Variable static stability. J. Climate 6(10): 1871-1881