From straight lines to deconvolution: The evolution of the state of the art in well test analysis

SPE Reservoir Evaluation and Engineering

Volumn 11, Issue 1, 2008, Pages 41-62

  Gringarten, Alain C ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DATA ACQUISITION; DATA REDUCTION; DECONVOLUTION; PETROLEUM RESERVOIRS;

PRESSURE-DERIVATIVE ANALYSIS; RESERVOIR CHARACTERIZATION;

OIL WELL TESTING;

DATA ACQUISITION; DATA REDUCTION; DECONVOLUTION; OIL WELL TESTING; PETROLEUM RESERVOIRS;

DECONVOLUTION; ESTIMATION METHOD; HYDROCARBON RESERVOIR; MODELING; OIL WELL; WELL TESTING;

EID: 41349092100     PISSN: 10946470     EISSN: None     Source Type: Journal    
DOI: 10.2118/102079-pa     Document Type: Review

References (119)

1. Agarwal, R.G. 1980. A New Method To Account for Production Time Effects When Drawdown Type Curves Are Used to Analyze Buildup and Other Test Data. Paper SPE 9289 presented at the SPE Annual Technical Conference and Exhibition, Dallas, 21-24 September. DOI: 10.2118/9289-MS.
2. Agarwal, R.G., Al-Hussainy, R., and Ramey, H.J. Jr. 1965. The Importance of Water Influx in Gas Reservoirs. JPT 17 (11): 1336-1342. SPE-1244-PA. DOI: 10.2118/1244-PA.
3. Agarwal, R.G., Al-Hussainy, R., and Ramey, H.J. Jr. 1970. An Investigation of Wellbore Storage and Skin Effect in Unsteady Liquid Flow. I: Analytical Treatment. SPEJ 10 (3): 279-290. SPE-2466-PA. DOI: 10.2118/2466-PA.
4. Agarwal, R.G., Carter, R.D., and Pollock, C.B. 1979. Evaluation and Performance Prediction of Low-Permeability Gas Wells Stimulated by Massive Hydraulic Fracturing. JPT 31 (3): 362-372. SPE-6838-PA. DOI: 10.2118/6838-PA.
5. Al-Hussainy, R., Ramey, H. J., and Crawford, P.B. 1965. The Flow of Real Gases Through Porous Media. Trans., AIME 237: 624-636.
6. Alagoa, A. and Ayoub, J.A. 1985. How to Simplify the Analysis of Fractured Well Tests. World Oil 201 (5): 97-102.
7. Azi, A., Gbo, A., Whittle, T., and Gringarten, A.C. 2008. Evaluation of Confidence Intervals in Well Test Interpretation Results. Paper SPE 113888 presented at the SPE Europec/EAGE Annual Conference, Rome. 9-12 June. DOI:10.2118/113888-MS.
8. Blasingame, T,A.. Johnston, J.L., and Lee, W.J. 1989. Type-Curves Analysis Using the Pressure Integral Method. Paper SPE 18799 presented at the SPE California Regional Meeting, Bakersfield, California, 5-7 April. DOI:10.2118/18799-MS.
9. Bourdet, D.P. 1985. Pressure Behavior of Layered Reservoirs With Cross-flow. Paper SPE 13628 presented at the SPE California Regional Meeting, Bakersfield, California, 27-29 March. DOI: 10.2118/13629-MS.
10. Bourdet, D.P. and Gringarten, A.C. 1980. Determination of Fissure Volume and Block Size in Fractured Reservoirs by Type-Curve Analysis. Paper SPE 9293 presented at the SPE Annual Technical Conference and Exhibition, Dallas, 21-24 September. DOI: 10.2118/9293-MS.
11. Bourdet, D.P., Whittle, T.M., Douglas, A.A., and Pirard, Y.M. 1983a. A New Set of Type Curves Simplifies Well Test Analysis. World Oil 196 (6): 95-106.
12. Bourdet, D.P., Ayoub, J.A., Whittle, T.M., Pirard, Y.M., and Kniazeff, V. 1983b. Interpreting Data in Fractured Reservoirs. World Oil 197 (5): 77-87.
13. Bourdet, D., Ayoub, J.A., and Pirard, Y.M. 1989. Use of Pressure Derivative in Well Test Interpretation. SPEFE 4 (2): 293-302. SPE-12777-PA. DOI: 10.2118/12777-PA.
14. Brons, F. and Marting, V.E. 1961. The Effect of Restricted Fluid Entry on Well Productivity. JPT 13 (2): 172-174; Trans., AIME 222.
15. Carter, R.D. and Tracy, G.W. 1960. An Improved Method for Calculating Water Influx. Trans., AIME 219, 415-417.
16. Chen, H.Y. and Teufel, L.W. 2000. A New Rate-Time Type Curve for Analysis of Tight-Gas Linear and Radial Flows. Paper SPE 63094 presented at the SPE Annual Technical Conference and Exhibition, Dallas, 1-4 October. DOI: 10.2118/63094-MS.
17. Chu, W.-C. and Shank, G.D. 1993. A New Model for a Fractured Well in a Radial, Composite Reservoir. SPEFE 8 (3): 225-232. SPE-20579-PA. DOI: 10.2118/20579-PA.
18. Cinco-Ley, H. and Samaniego-V., F. 1981. Transient Pressure Analysis for Fractured Wells. JPT 33 (9): 1749-1766. SPE-7490-PA. DOI: 10.2118/7490-PA.
19. Cinco-Ley, H. and Samaniego-V., F. 1989. Use and Misuse of the Super-position Time Function in Well Test Analysis. Paper SPE 19817 presented at the SPE Annual Technical Conference and Exhibition, San Antonio, Texas, 8-11 October. DOI: 10.2118/19817-MS.
20. Cinco-Ley, H., Samaniego-V., F., and Dominguez-A., N. 1978. Transient Pressure Behavior for a Well With a Finite-Conductivity Vertical Fracture. SPEJ 18 (4): 253-264. SPE-6014-PA. DOI: 10.2118/ 6014-PA.
21. Cinco-Ley, H., Kuchuk, R, Ayoub, J., Samaniego-V., F., and Ayestaran, L. 1986. Analysis of Pressure Tests Through the Use of Instantaneous Source Response Concepts. Paper SPE 15476 presented at the SPE Annual Technical Conference and Exhibition, New Orleans, 5-8 October. DOI: 10.2118/ 15476-MS.
22. Clark, D.G. and Van Golf-Racht, T.D. 1985. Pressure-Derivative Approach to Transient Test Analysis: A High-Permeability North Sea Reservoir Example. JPT 37 (11): 2023-2039. SPE-12959-PA. DOI: 10.2118/ 12959-PA.
23. Clark, K.K. 1968. Transient Pressure Testing of Fractured Water Injection Wells. JPT 20 (6): 639-643; Trans., AIME 243. SPE-1821-PA. DOI: 10.2119/1921-PA.
24. Cooper, H.H. and Jacob, C.E. 1946, A Generalized Graphical Method for Evaluating Formation Constants and Summarizing Well-Field History. Trans. Am. Geophys. Union 27 (4): 526-534.
25. Crafton, J.W. 1997. Oil and Gas Well Evaluation Using the Reciprocal Productivity Index Method. Paper SPE 37409 presented at the SPE Production Operations Symposium, Oklahoma City, Oklahoma, 9-11 March. DOI: 10.2118/37409-MS.
26. Culham, W.E. 1974. Pressure Buildup Equations for Spherical Flow Regime Problems. SPEJ 14 (6): 545-555. SPE-4053-PA. DOI: 10.2118/ 4053-PA.
27. Daungkaew, S., Hollaender, F., and Gringarten, A.C. 2000. Frequently Asked Questions in Well Test Analysis. Paper SPE 63077 presented at the SPE Annual Technical Conference and Exhibition, Dallas, 1-4 October. DOI: 10.2118/63077-MS.
28. Daviau, F., Mouronval, G., Bourdarot, G., and Curutchet P. 1988. Pressure Analysis for Horizontal Wells. SPEFE 3 (4): 716-724. SPE-14251-PA. DOI: 10.2118/14251-PA.
29. Doublet, L.E., Pande, P.K., McCollum, T.J., and Blasingame, T.A. 1994. Decline Curve Analysis Using Type Curves-Analysis of Oil Well Production Data Using Material Balance Time: Application to Field Cases. Paper SPE 28688 presented at the SPE International Petroleum Conference and Exhibition of Mexico, Veracruz, Mexico, 10-13 October. DOI: 10.2118/ 28688-MS.
30. Duong, A.N. 1989. A New Set of Type Curves for Well-Test Interpretation Using the Pressure/Pressure-Derivative Ratio. SPEFE 4 (2): 264-272. SPE-16812-PA. DOI: 10.2118/16812-PA.
31. Earlougher, R.C. Jr. 1977. Advances in Well Test Analysis, Monograph Series. Richardson, Texas: SPE, 5.
32. Earlougher, R.C. Jr. and Kersh, K.M. 1974. Analysis of Short-Time Transient Test Data by Type-Curve Matching. JPT 26 (7): 793-800. SPE-4488-PA. DOI: 10.2118/4488-PA.
33. Ehlig-Economides, C.A. 1987. Testing and Interpretation in Layered Reservoirs. JPT 39 (9): 1087-1090. SPE-17089-PA. DOI: 10.2118/17089-PA.
34. Ehlig-Economides, C.A., Joseph, JA, Ambrose, R.W. Jr., and Norwood, C. 1990. A Modern Approach to Reservoir Testing. JPT 42 (12): 1554-1563. SPE-19814-PA. DOI: 10.2119/19814-PA.
35. Fedele, J.-M., Martin, J.-P., Despax D., and Dovis, R. 2004. Method and Device for Determining the Quality of an Oil Well Reserve. US Patent No. 6,801,857.
36. Gbo, A. 1999. Determination of Probability Distributions in Well Test Analysis Results. MS thesis, Imperial College, Centre for Petroleum Studies, London.
37. Gringarten, A.C. 1992. Flow Test Evaluation of Fractured Reservoirs. In Recent Trends in Hydrogeology, Special Paper 189, ed. T.N. Narasim, 237-263. Boulder, Colorado: Geological Society of America.
38. Gringarten, A.C. 1984. Interpretation of Tests in Fissured Reservoirs and Multilayered Reservoirs With Double-Porosity Behavior: Theory and Practice. JPT 36 (4): 549-564. SPE-10044-PA. DOI: 10.2118/ 10044-PA.
39. Gringarten, A.C. 1985a. Interpretation of Well Test Transient Data. In Developments in Petroleum Engineering - 1, ed. R.A. Dawe and D.C. Wilson, 133-196. London and New York City: Elsevier Applied Science Publishers.
40. Gringarten, A.C. 1985b. Method for Obtaining Dimensionless Representation of Well Pressure Data Without the Use of Type-Curves. US Patent No. 4,607,524.
41. Gringarten, A.C. 1986. Computer-Aided Well Test Analysis. Paper SPE 14099 presented at the SPE International Meeting on Petroleum Engineering, Beijing, 17-20 March. DOI: 10.2118/14099-MS.
42. Gringarten, A.C. 1987. Type-Curve Analysis: What It Can and Cannot Do. JPT 39 (1): 11-13. SPE- 16388-PA. DOI: 10.2118/16388-PA.
43. Gringarten, A.C. 1998. Evolution of Reservoir Management Techniques: From Independent Methods to an Integrated Methodology. Impact on Petroleum Engineering Curriculum, Graduate Teaching, and Competitive Advantage of Oil Companies. Paper SPE 39713 presented at the SPE Asia Pacific Conference on Integrated Modeling for Asset Management, Kuala Lumpur, 23-24 March. DOI: 10.2118/39713-MS.
44. Gringarten, A.C. 2005. Analysis of an Extended Well Test To Identify Connectivity Between Adjacent Compartments in a North Sea Reservoir. Paper SPE 93988 presented at the SPE Europec/EAGE Annual Conference, Madrid, Spain, 13-16 June. DOI: 10.2118/93988-MS.
45. Gringarten, A.C. and Ramey, H.J. Jr. 1971. A Comparison of Different Solutions to the Radial Flow Problem. Paper SPE 3817 available from SPE, Richardson, Texas.
46. Gringarten, A.C. and Ramey, H.J. Jr. 1973. The Use of Source and Green's Functions in Solving Unsteady-Flow Problems in Reservoirs. SPEJ 13 (5): 285-296. SPE-3818-PA. DOI: 10.2118/3818-PA.
47. Gringarten, A.C. and Ramey, H.J. Jr. 1974. Unsteady-State Pressure Distribution Created by a Well With a Single Horizontal Fracture, Partial Penetration, or Restricted Entry. SPEJ 14 (4): 413-426. SPE-3819-PA. DOI: 10.2118/3819-PA.
48. Gringarten, A.C., Ramey, H.J. Jr., and Raghavan, R. 1974. Unsteady-State Pressure Distribution Created by a Well With a Single Infinite-Conductivity Vertical Fracture. SPEJ 14 (4): 347-360. SPE-4051-PA. DOI: 10.2118/4051-PA.
49. Gringarten, A.C., Ramey, H.J. Jr., and Raghavan, R. 1975. Applied Pressure Analysis for Fractured Wells. JPT 27 (7): 887-892. SPE-5496-PA. DOI: 10.2118/5496-PA.
50. Gringarten, A.C., Bourdet D.P., Landel, P.A., and Kniazeff, V.J. 1979. A Comparison Between Different Skin and Wellbore Storage Type-Curves for Early-Time Transient Analysis. Paper SPE 8205 presented at the SPE Annual Technical Conference and Exhibition, Las Vegas, Nevada, 23-26 September. DOI: 10.2118/8205-MS.
51. Gringarten, A.C., Burgess, T.M., Viturat, D., Pelissier, J., and Aubry, M. 1981. Evaluating Fissured Formation Geometry From Well Test Data: A Field Example. Paper SPE 10182 presented at the SPE Annual Technical Conference and Exhibition, San Antonio, Texas, 4-7 October. DOI: 10.2118/ 10182-MS.
52. Gringarten, A.C., von Schroeter, T., Rolfsvaag, T., and Bruner, J. 2003. Use of Downhole Pressure Gauge Data To Diagnose Production Problems in a North Sea Horizontal Well. Paper SPE 84470 presented at the SPE Annual Technical Conference and Exhibition, Denver, 5-8 October. DOI: 10.2118/ 84470-MS.
53. Gringarten, A.C., Bozorgzadeh, M., Daungkaew, S., and Hashemi, A. 2006. Well Test Analysis in Lean Gas Condensate Reservoirs: Theory and Practice. Paper SPE 100993 presented at the SPE Russian Oil and Gas Technical Conference and Exhibition, Moscow, 3-6 October. DOI: 10.2118/ 100993-MS.
54. Hewett, T.A. 1986. Fractal Distribution of Reservoir Heterogeneity and Their Influence on Fluid Transport. Paper SPE 15386 presented at the SPE Annual Technical Conference and Exhibition, New Orleans, 5-8 October. DOI: 10.2118/15386-MS.
55. Hollaender, F., Hammond, P.S., and Gringarten, A.C. 2002a. Harmonic Testing for Continuous Well and Reservoir Monitoring. Paper SPE 77692 presented at the SPE Annual Technical Conference and Exhibition, San Antonio, Texas, 29 September-2 October. DOI: 10.2118/77692-MS.
56. Hollaender, F., Filas, J., Bennett, C.O., and Gringarten, A.C. 2002b. Use of Downhole Production/Reinjection for Zero-Emission Well Testing: Challenges and Rewards. Paper SPE 77620 presented at the SPE Annual Technical Conference and Exhibition, San Antonio, Texas, 29 September-2 October. DOI: 10.2118/77620-MS.
57. Horner, D.R. 1951. Pressure Build-Ups in Wells. Proc., Third World Petroleum Congress, The Hague, Section II, 503-523, 28 May-6 June. Also, 1967. Pressure Analysis Methods. Reprint Series, SPE, Richardson, Texas 9: 25-43.
58. Hurst, W. 1953. Establishment of the Skin Effect and Its impediment to Fluid Flow Into a Well Bore. The Petroleum Engineer, Petroleum Engineering, Dallas, 25 (Oct.): 36-38, B6 through B16.
59. Ilk, D., Valko, P.P., and Blasingame, T.A. 2005. Deconvolution of Variable-Rate Reservoir Performance Data Using B-Splines. SPEREE 9 (4): 582-595. SPE-95571-PA. DOI: 10.2118/95571-PA.
60. Ilk, D., Anderson, D.M., Valko, P.P., and Blasingame, T.A. 2006. Analysis of Gas-Well Reservoir Performance Data Using B-Spline Deconvolution. Paper SPE 100573 presented at the SPE Gas Technology Symposium, Calgary, 15-17 May. DOI: 10.2118/100573-MS.
61. Jones, P. 1956. Reservoir Limit Tests. Oil and Gas J. 9 (59): 184.
62. Joseph, J., Bocock, A., Nai-Fu, F., and Gui, L.T. 1986. A Study of Pressure Transient Behavior in Bounded Two-Layered Reservoirs: Shengli Field, China. Paper SPE 15418 presented at the SPE Annual Technical Conference and Exhibition, New Orleans, 5-8 October. DOI: 10.2118/ 15418-MS.
63. Jouanna, P. and Fras, G. 1979. Introduction à la Reconnaissance dans l'Espace des Fréquences, de Milieux Fissurés par Essai d'Eau Transitoire. Notion de Signatures Spectrales et Application an Cas d'Horizons Fissurés Reconnus par Pompage Harmonique. Compte-Rendu de l'Académie des Sciences, Séance du 15 Janvier, Paris, 288 (2).
64. Kazemi, H. 1975. A Reservoir Simulator for Studying Productivity Variation and Transient Behavior of a Well in a Reservoir Undergoing Gas Evolution. JPT 27 (11):1401-1412; Trans., AIME 259. SPE-5108-PA. DOI: 10.2118/5108-PA.
65. Kohlhaas, C.A., del Guidice, C., and Abott, W.A. 1982. Application of Linear and Spherical Flow Analysis Techniques to Field Problems - Case Studies. Paper SPE 11088 presented at the SPE Annual Technical Conference and Exhibition, New Orleans, 26-29 September. DOI: 10.2118/ 11088-MS.
66. Kuchuk, F.J. and Ayestaran, L. 1985. Analysis of Simultaneous Measured Pressure and Sandface How Rate in Transient Well Testing. JPT 37 (2): 323-334. SPE-12177-PA. DOI: 10.2118/12177-PA.
67. Kuchuk, F.J. and Kirwan, P.A. 1987. New Skin and Wellbore Storage Type Curves for Partially Penetrating Wells, SPEFE 2 (4): 546-554. SPE 11676-PA. DOI: 10.2118/11676-PA.
68. Lescaboura, J.A., Walther, H.C. Jr., and Wilson, P.L. 1975. Design and Analysis of Interference Tests. Paper SPE 5314 presented at the SPE California Regional Meeting, Ventura, California, 2-4 April. DOI: 10.2118/5314-MS.
69. Levitan, M.M. 2005. Practical Application of Pressure-Rate Deconvolution to Analysis of Real Well Tests. SPEREE 8 (2): 113-121. SPE-84290-PA. DOI: 10.2118/84290-PA.
70. Levitan, M.M., Crawford, G.E., and Hardwick, A. 2006. Practical Considerations for Pressure-Rate Deconvolution of Well-Test Data. SPEJ 11 (1): 35-47. SPE-90680-PA. DOI: 10.2118/90680-PA.
71. Mach, J., Proano, E., and Brown, K.E. 1979. A Nodal Approach for Applying Systems Analysis to the Flowing and Artificial Lift Oil or Gas Well. Paper SPE 8025 available from SPE, Richardson, Texas.
72. Matthews, C.S. and Russell, D.G. 1967. Pressure Build-Up and Flow Tests in Wells. Monograph Series, SPE, Dallas 1.
73. Matthews, C.S., Brous, F., and Hazebroek, P. 1954. A Method for Determination of Average Pressure in a Bounded Reservoir. Trans., AIME 201: 182-191.
74. McKinley, R.M. 1971. Wellbore Transmissibility From Afterflow-Dominated Pressure Buildup Data. JPT 23 (7): 863-872. SPE-2416-PA. DOI: 10.2118/2416-PA.
75. Meunier, D.F., Kabir, C.S., and Wittmann, M.J. 1987. Gas Well Test Analysis: Use of Normalized Pressure and Time Functions. SPEFE 2 (4): 629-636. SPE-13082-PA. DOI: 10.2118/13082-PA.
76. Miller, C.C., Dyes, A.B., and Hutchinson, C.A. 1950. The Estimation of Permeability and Reservoir Pressure From Bottom Hole Pressure Build-Up Characteristics. Trans., AIME 189: 91-104.
77. Miller, F.G. 1962. Theory of Unsteady-State Influx of Water in Linear Reservoirs. J. Institute of Petroleum 48 (467): 365-379.
78. Millhein, K.K. and Cichowicz, L. 1968. Testing and Analyzing Low-Permeability Fractured Gas Wells. JPT 20 (2): 193-198. SPE-1768-PA. DOI: 10.2119/1768-PA.
79. Mijinyawa, A. and Gringarten, A. 2008. Influence of Geological Features on Well Test Behavior. Paper SPE 113877 presented at the SPE Europec/ EAGE Annual Conference, Rome, 9-12 June. DOI: 102118/113877-MS.
80. Moran, J.H. and Finklea, E.E. 1962. Theoretical Analysis of Pressure Phenomena Associated With the Wireline Formation Tester. JPT 14 (8): 899-908; Trans., AIME 225. SPE-177-PA. DOI: 10.2118/ 177-PA.
81. Muskat, M. 1937. Use of Data on Build-Up of Bottom Hole Pressures. Trans., AIME 123: 44-48.
82. Odeh, A.S. and Jones, L.G. 1965. Pressure Drawdown Analysis, Variable-Rate Case. JPT 17 (8): 960-964. SPE-1084-PA. DOI: 10.2118/1084-PA.
83. Onur, M. and Reynolds, A.C. 1988. A New Approach for Constructing Derivative Type Curves for Well Test Analysis. SPEFE 3 (1): 197-206. SPE-16473-PA. DOI: 10.2118/16473-PA.
84. Perez-Rosales, C. 1978. Use of Pressure Buildup Tests for Describing Heterogeneous Reservoirs. Paper SPE 7451 presented at the SPE Annual Fall Technical Conference and Exhibition, Houston, 1-3 October. DOI: 10.2118/451-MS.
85. Prasad, R.K. 1975 Pressure Transient Analysis in the Presence of Two Intersecting Boundaries. JPT 27 (1): 89-96. SPE-4560-PA. DOI: 10.2118/4560-PA.
86. Raghavan, R. 1980. The Effect of Producing Time on Type Curve Analysis. JPT 32 (6): 1053-1064. SPE-6997-PA. DOI: 10.2118/6997-PA.
87. Raghavan, R. and Clark, K.K. 1975. Vertical Permeability From Limited Entry Flow Tests in Thick Formations. SPEJ 15 (1): 65-73; Trans., AIME 260. SPE-4556-PA. DOI: 10.2118/4556-PA.
88. Ramey, H.J. Jr. 1965. Non-Darcy Flow and Wellbore Storage Effects in Pressure Build-Up and Drawdown of Gas Wells. JPT 17 (2): 223-233; Trans., AIME 234. SPE-1058-PA. DOI: 10.2119/ 1058-PA.
89. Ramey, H.J. Jr. 1970. Short-Time Well Test Data Interpretation in the Presence of Skin Effect and Wellbore Storage. JPT 22 (1): 97-104. SPE-2336-PA. DOI: 10.2118/2336-PA.
90. Ramey, H.J. Jr. 1980. Practical Use of Moder Well Test Analysis. Pressure Transient Testing Methods, Reprint Series. Richardson, Texas: SPE, 14: 46-67.
91. Ramey, H.J. Jr. 1982. Pressure Transient Testing. JPT 34 (7) 1407-1413.
92. Ramey, H.J. Jr. 1992. Advances in Practical Well-Test Analysis. JPT 44 (6): 650-659. SPE-20592-PA. DOI: 10.2118/20592-PA.
93. Ramey, H.J. Jr. and Cobb, W.M. 1971. A General Pressure Buildup Theory for a Well in a Closed Drainage Area. JPT 23 (12): 1493-1505; Trans., AIME 252. SPE-3012-PA. DOI: 10.2118/ 3012-PA.
94. Reiss, L.H. and Giger, F.M. 1982. Le Forage Horizontal: Premières Réalisations en Europe. Pétrole et Techniques 294.
95. Rosa, A.J. and Home, R.N. 1983. Automated Type-Curve Matching in Well Test Analysis Using Laplace Space Determination of Parameters Gradients. Paper SPE 12131 presented at the SPE Annual Technical Conference and Exhibition, San Francisco, 5-9 October. DOI: 10.2118/12131-MS.
96. Russell, D.G. and Truitt, N.E. 1964. Transient Pressure Behavior in Vertically Fractured Reservoirs. JPT 16 (10): 1159-1170. SPE-967-PA. DOI: 10.2118/967-PA.
97. Stehfest, H. 1970. Algorithm 368: Numerical Inversion of Laplace Transforms [D5]. Communications of the ACM 13 (1): 47-49. DOI: 10. 1145/361953.361969.
98. Suro-Perez, V., Ballin, P., Aziz, K., and Journel, A.G. 1991. Modeling Geological Heterogeneities and Its Impact on Flow Simulation. Paper SPE 22695 presented at the SPE Annual Technical Conference and Exhibition, Dallas, 6-9 October. DOI: 10.2118/22695-MS.
99. Theis, C.V. 1935. The Relationship Between the Lowering of the Piezometric Surface and the Rate and Duration of Discharge Using Ground-Water Storage. Trans., American Geophysical Union, Part 2, 519-524.
100. Also, 1980. Pressure Transient Testing Methods. Reprint Series. Richardson, Texas: SPE 14: 27-32.
101. Tiab, D. 1989. Direct Type-Curve Synthesis of Pressure Transient Tests. Paper SPE 18992 presented at the SPE Low Permeability Reservoirs Symposium, Denver, 6-8 March. DOI: 10.2118/18992-MS.
102. Tiab, D. 1993a. Analysis of Pressure and Pressure Derivatives Without Type-Curve Matching: I. Skin and Wellbore Storage. Paper SPE 25426 presented at the SPE Production Operations Symposium, Oklahoma City, Oklahoma, 21-23 March. DOI: 10.2118/25426-MS.
103. Tiab, D. 1993b. Analysis of Pressure and Pressure Derivative Without Type-Curve Matching: III. Vertically Fractured Wells in Closed Systems. Paper SPE 26138 presented at the SPE Western Regional Meeting, Anchorage, 26-28 May. DOI: 10.2118/26138-MS.
104. Tiab, D. and Crichlow, H.B. 1979. Pressure Analysis of Multiple-Sealing-Fault Systems and Bounded Reservoirs by Type-Curve Matching. SPEJ 19 (6): 378-392. SPE-6755-PA. DOI: 10.2118/ 6755-PA.
105. Tiab, D. and Kumar, A. 1980a. Application of the pD' Function to Interference Analysis. JPT 32 (8): 1465-1470. SPE-6053-PA. DOI: 10.2118/6053-PA.
106. Tiab, D. and Kumar, A. 1980b. Detection and Location of Two Parallel Sealing Faults Around a Well. JPT 32 (10): 1701-1708. SPE-6056-PA. DOI: 10.2118/6056-PA.
107. Tiab, D. and Puthigai, S.K. 1988. Pressure-Derivative Type Curves for Vertically Fractured Wells. SPEFE 3 (1): 156-158. SPE-11028-PA. DOI: 10.2118/11028-PA.
108. Tiab, D., Azzougen, A., Escobar, F.H., and Berumen, S. 1999. Analysis of Pressure Derivative Data of Finite-Conductivity Fractures by the "Direct Synthesis" Technique. Paper SPE 52201 presented at the SPE Mid-Continent Operations Symposium, Oklahoma City, Oklahoma, 28-31 March. DOI: 10.2118/52201-MS.
109. Van Everdingen, A.F. 1953. The Skin Effect and Its Influence on the Productive Capacity of a Well. Trans., AIME 198: 171-176.
110. Van Everdingen, A.F. and Hurst, W. 1949. The Application of the Laplace Transformation to Flow Problems in Reservoirs. Trans., AIME 186: 305-324.
111. van Pollen, H.K. 1965. Drawdown Curves Give Angle Between Intersecting Faults. Oil & Gas J. 20 December, 71-75.
112. von Schroeter, T., Hollaender, F., and Gringarten, A. 2001. Deconvolution of Well Test Data as a Nonlinear Total Least Squares Problem. Paper SPE 71574 presented at the SPE Annual Technical Conference and Exhibition, New Orleans, 30 September-3 October. DOI: 10.2118/71574-MS.
113. von Schroeter, T., Hollaender, F., and Gringarten, A. 2002. Analysis of Well Test Data From Permanent Downhole Gauges by Deconvolution. Paper SPE 77688 presented at the SPE Annual Technical Conference and Exhibition, San Antonio, 29 September-2 October.
114. von Schroeter, T., Hollaender, F., and Gringarten, A. 2004. Deconvolution of Well-Test Data as a Nonlinear Total Least Squares Problem. SPEJ 9 (4): 375-390. SPE-77688-PA. DOI: 10.2118/ 77688-PA.
115. Warren, J.E. and Root, P.J. 1963. The Behavior of Naturally Fractured Reservoirs. SPEJ 3 (3): 245-255; Trans., AIME 228. SPE-426-PA. DOI: 10.2118/426-PA.
116. Wong, D.W., Harrington, A.G., and Cinco-Ley, H. 1986. Application of the Pressure Derivative Function in the Pressure Transient Testing of Fractured Wells. SPEFE 1 (5): 470-480. SPE-13056-PA. DOI: 10.2118/13056-PA.
117. Yaxley, L.M. 1987. Effect of a Partially Communicating Fault on Transient Pressure Behavior. SPEFE 2 (4): 590-598; Trans., AIME 283. SPE-14311-PA. DOI: 10.2118/14311-PA.
118. Zambrano, J., Zimmerman, R.W., and Gringarten, A.C. 2000. Influence of Geological Features on Well Test Behavior. Paper SPE 59398 presented at the SPE Asia Pacific Conference on Integrated Modelling for Asset Management, Yokohama, Japan, 25-26 April. DOI: 10.2118/59398-MS.
119. Zheng, S., Corbett P., and Stewart G. 1996. The Impact of Variable Formation Thickness on Pressure Transient Behavior and Well Test Permeability in Fluvial Meander Loop Reservoirs. Paper SPE 36552 presented at the SPE Annual Technical Conference and Exhibition. Denver, 6-9 October. DOI: 10.2118/36552-MS.