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Annual Meeting, Edmonton, May 8-12. ..... Shah, S.N.: "Proppant Settling Correlations for Non-Newtonian Fluids Under Static and Dynamic ... van Doasel...
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Appendix Weldon M. Harms

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Halliburton Services, P.O. Drawer 1431, Duncan, O K 73536-0426 Reviews of Oil & Gas Fracturing(Ref. 1) • • • • • •

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Clark, J.B., Fast, C.R., and Howard, G.C.: "A Multiple Fracturing Process for Increasing the Productivity of Wells," 1952 Spring Meeting of the Midcontinent District API, Wichita, ICS, March 19-21. Prusick, J.H. and Morgan, Z.V: "The Use of Emulsions and Related Techniques in the Treatment of Oil and Gas Wells," Pet. Eng. (May 1954) B54-B56. Hurst, R.E., Moore, J.M., Ramsey, D.E.: "Development and Application of 'Frac' Treatments in the Permian Basin," T.P. 4032, Soc. Pet. Eng. J. (1955) Trans., AIME, 204. Aldernan, E.N., Mack, D.J., and Ousterhout, R.S.: "Evaluation of Fracturing Materials for Optimum Well Stimulation," API paper 801-37J, 1961 Spring Meeting of Pacific Coast District, Los Angeles, May 11-12. Hassebroek, W.E. and Saunders, CD.: "Hydraulic Fracturing," Modern Well Completion Series, Part 13, Pet. Eng. (July, 1961), B55,B63,B69,B72,B74,B75,B77,B78,B81. Grubb, W.E.; Martin, F.G. "A Guide to Chemical Well Treatments," Part 1, Pet. Eng.. May 1963, 94-110; Part 2, ibid June 1963, 100-104; Part 3, ibid, July 1963; Part 4, ibid August 1963, 100110; Part 5, ibid September 1963, 94-108; Part 6, ibid October 1963, 122-126; Part 6, ibid October 1963, 118-128; and Part 7, ibid, November 1963, 122,126. Hassebroek, W.E. and Waters, A.B.: "Advancements Through 15 Years of Fracturing," J. Pet. Technol. (July 1964) 760-764,787. H i l l , K.E. and Coqueron, F.G.: "The Petroleum Industry A Look Backward...and Forward," SPE paper 1622, 1966 SPE Annual Meeting, Dallas, October 2-56 Howard, G.C. and Fast, C.R.: Hydraulic Fracturing. Monograph Series, SPE(1970)2. Aldenaan, E.N.: "Super Thick Fluids Provide New Answers to Old Fracturing Problems," SPE paper 2852, 1970 Spring Symposium SPE, Fort Worth, March 8-10. Dysart, G.R., Richardson, D.W., and Kannenberg, B.G.: "Second Generation Fracturing Fluids," API paper 906-15-H, 1970 Spring Meeting of the Southwestern District Division of Production, Odessa, March 18-20. Coulter, G.R. and Wells, R.D.: "The Advantages of High Proppant Concentration in Fracture Stimulation," SPE paper 3298, 1971 SPE Annual Meeting, New Orleans, October 3-6. Rosene, R.B. and Shumaker, E.F.: "Viscous Fluids Provide Improved Results from Hydraulic Fracturing Treatments," SPE paper 3347, 1971 SPE Rocky Mountain Regional Meeting, Billings, June 2-4. Wei land, D.R., "Recent Trends in Hydraulic Fracturing," SPE paper 3659, 1971 SPE Eastern Regional Meeting, Charleston, November 4-5. Coulter, G.R.: "Hydraulic Fracturing - New Developments," Transactions Gulf Coast Association of Geological Societies, XXI11(1973), 47-53. White, J.L., Rosene, R.B., and Hendrickson, A.R.: "New Generation of Frac Fluids," 1973 SPE Annual Meeting, Edmonton, May 8-12. Buechley, T.C. and Lord, D.L.: "Hydraulic Fracturing Fluid Mechanics - State of the Art," Fluid Mechanics of Oil and Gas Production Symposium, 1973 National Meeting, A.I.Ch.E., New Orleans, March 11-15. Krueger, R.F.: "Advances in Well Completion and Stimulation During JPT's First Quarter Century," J. Pet. Technol.. December, 1973, 1447-1462. Anderson, R.W. and Baker, J.R.: "Use of Guar Gum and Synthetic Cellulose in Oilfield Stimulation Fluids," SPE paper 5005, 1974 SPE Annual Meeting, Houston, October 6-9. White, J.L. and Free, D.L.: "Properties of Various Frac Fluids as Compared to the Ideal Fluid," Proc. Symp. Stimul. Low Perm. Reserv. Colo. School Mines.(1976), 1-14. Kohlhaas, C.A.: "Fracturing," Subsurf. Geology (4th Ed)J. edited by LeRoy, et a l . (1977) 400406. Waters, A.B.: "Stimulation of Hydrocarbon Reservoirs," 1980 Industrial Mineral Meeting, Houston, September 11-12. Waters, A.B.: "Hydraulic Fracturing Deep Gas Wells," 1981 International Gas Research Conference. Houaan, G.B.: "State-of-the-Art Well Stimulation," J. Pet. Technol.. February 1982, 239-241. Waters, A.B.: "History of Hydraulic Fracturing," 1982 SPE Hydraulic Fracturing Symposium, Lubbock, 1-20. 0097-6156/89/0396-0659$06.00A) o 1989 American Chemical Society In Oil-Field Chemistry; Borchardt, J., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 1989.

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OIL-FIELD CHEMISTRY Veatch, R.W., J r . : "Current H y d r a u l i c F r a c t u r i n g Treatment and Design Technology," SPE paper 10039, 1982 SPE I n t e r n a t i o n a l Petroleum E x h i b i t i o n and T e c h n i c a l Symposium, B e j i n g , China, March 28-26. Pai, V.J. and G a r b i s , S.J.: "Review of the Completion P r a c t i c e s i n the Morrow Formation i n Eddy, Chaves, and Lea Counties of Southeast New Mexico," SPE paper 11335, 1982 SPE P r o d u c t i o n Technology Symposium, Hobbs, Nov. Veatch, R.W., J r . : "Overview of Current H y d r a u l i c F r a c t u r i n g Design and Treatment Technology P a r t 1," J . P e t . Technol.. A p r i l 1983, 677-864.; i b i d . P a r t 2, J . P e t . Technol.. May 1983, 853864. Natson, B.G. and Baker, J.R.: "Advanced S t i m u l a t i o n Technology," D r i l l i n g - D C W A p r i l 20, 1977, 64-65, MenjWar, J.A.: "The Use of Water-Soluble Polymers i n O i l F i e l d A p p l c i a t i o n s : H y d r a u l i c F r a c t u r i n g , " 1984 P r o c . Annu. M.I.T. Seagrant C o l l o q . Program L e c t u r e Seminar ( 3 r d ) , Cambridge, Mass. Ely, J . : " F r a c t u r i n g F l u i d Systems S t a t e of the A r t , " 1981 Proc. Annu. Southwest P e t . Short Course, Lubbock, A p r i l 23-24, 1981. Almond, S.W. and G a r v i n , T.R.: "High E f f i c i e n c y F r a c t u r i n g F l u i d s f o r Low Temperature R e s e r v o i r s , " 1984 P r o c . Annu. Southwest P e t . Short Course, Lubbock, May 1984, 76-88. Krueger, R.F.: "An Overview of Formation Damage and Well P r o d u c t i v i t y i n O i l f i e l d O p e r a t i o n s , " J . P e t . Technol.. February 1986, 131-152. Ely, J.W.: " S t i m u l a t i o n Treatment Handbook," Penwell P u b l i c a t i o n s : T u l s a , OK, 1985. Veatch, R.W., J r . and Moschovidis, Z.A.: "An Overview of Recent Advances i n H y d r a u l i c F r a c t u r i n g Technology," SPE paper 14085, 1986 I n t e r n a t i o n a l Meeting on Petroleum E n g i n e e r i n g , B e j i n g , China, March 17-20. Allen, T.O. and Roberts, A.P. " P r o d u c t i o n O p e r a t i o n s , " V o l . 2, Penwell P u b l i c a t i o n s , 2nd ed.:Tulsa,OK, 1982. Bleakely, W.B.: "How Chemicals Improve U l t i m a t e Recovery," PET. ENG. I n t e r n a t . . May 1986, pages 53-58. Gray, G.R., D a r l e y , H.C.H., Rogers, W.F.: "Compositions and P r o p e r t i e s of O i l Well D r i l l i n g F l u i d s " 4th Ed, Gulf P u b l i s h i n g : H o u s t o n , TX 1980. Economides, M.J.; Nolte, K.G.: "Reservoir Stimulation," Schlumberger Educational Services:Houston,TX. 1987. Harris, P.C.: " F r a c t u r i n g - F l u i d A d d i t i v e s , " J . Pet. Technol.. Oct. 1988, 1277-79. Gidley, J . and H o l d i t c h , S.A., eds, "Recent Advances i n H y d r a u l i c F r a c t u r i n g , " E l y , J.W., i n Chapter 7, " F r a c t u r i n g F l u i d s and A d d i t i v e s , " S o c i e t y of Petroleum E n g i n e e r s , D a l l a s , TX, 1989.

F r a c t u r i n g F l u i d L e a k o f f ( R e f . 4.) • • • • •

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Settari, A.: "A New General Model of F l u i d Loss i n H y d r a u l i c F r a c t u r i n g , " SPE/DOE paper 11625, 1983 SPE/DOE Symposium on Low P e r m e a b i l i t y , Denver, March 14-16. Pye, D.S. and Smith, W.A.: " F l u i d Loss A d d i t i v e S e r i o u s l y Reduces F r a c t u r e Proppatn C o n d u c t i v i t y and Formation P e r m e a b i l i t y , " 1973 SPE Annual Meeting, Las Vegas, Sept. 30-0ct. 3. Zueigle, M.L. and Lamphere, J . C : " C r o s s l i n k e d , Water-Swellable Polymer M i c r o g e l s , " US Patent 4,172,066(1979). Ely, J.W.: "Methods of Using Aqueous G e l s , " US Patent 4,321,968(1982). McDaniel, R.R., Deysarkar, A.K., C a l l a n a n , M.J., and Kohlhaas, C.A.: "An Improved Method f o r Measuring F l u i d Loss at Simulated F r a c t u r e C o n d i t i o n s , " Soc. Pet. Eng. J . . August 1985, 482490. Block, J . : " V i s c o s i f i e r and F l u i d Loss C o n t r o l System," US Patent 4,349,443(1982). Penny, G.S., Conway, M.W., and Lee, W.S.: "The C o n t r o l and M o d e l l i n g of F l u i d Leak-Off During H y d r a u l i c F r a c t u r i n g , " SPE paper 12486, 1984 Formation Damage Symposium, B a k e r s f i e l d , January. Green, P.C. and B l a c k , J . C : "High Temperature S t a b l e V i s c o s i f i e r and F l u i d Loss C o n t r o l System," US Patent 4,486,318(1984). B e l l i s , H.E and McBride, E.F.: "Composition and Method f o r T e m p o r a r i l y Reducing P e r m e a b i l i t y of Subterranean Formations," US Patent 4,715,967(1987). McGouen, J.M. and McDaniel, B.W.: "The E f f e c t s of F l u i d P r e c o n d i t i o n i n g and Test C e l l Design on the Measurement of Dynamic F l u i d Loss Data," SPE paper 18212, 1988 SPE Annual T e c h n i c a l Conference and E x h i b i t i o n , Houston, October 2-5. Woo, G.T. and Cramer, D.D.: "Laboratory and F i e l d E v a l u a t i o n of F l u i d - L o s s A d d i t i v e Systems Used i n the W i l l i s t o n B a s i n , " SPE paper 12899, 1984 Rocky Mountain Regional Meeting, Casper, May 2123. Hall, B.E. and Houk, S.G.: " F l u i d - L o s s C o n t r o l i n the N a t u r a l l y F r a c t u r e d Buda Formation," SPE paper 12152, 1983 SPE Annual T e c h n i c a l Conference and E x h i b i t i o n , San F r a n c i s c o , October 5-8. Gulbis, J . : "Dynamic F l u i d Loss of F r a c t u r i n g F l u i d s , " SPE paper 12154, 1983 SPE Annual T e c h n i c a l Conference and E x h i b i t i o n , San F r a n c i s c o , October 5-8. Penny, G.S.: "Nondamaging F l u i d Loss A d d i t i v e s f o r Use i n H y d r a u l i c F r a c t u r i n g of Gas W e l l s , " SPE paper 10659, 1982 SPE Formation Damage C o n t r o l Symposium, L a f a y e t t e , March 24-25.

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Harris, P.C. and Penny, G.S.: " I n f l u e n c e of Temperature and Shear H i s t o r y on F r a c t u r i n g F l u i d E f f i c i e n c y , " SPE paper 14258, 1985 SPE Annual T e c h n i c a l Conference and E x h i b i t i o n , Las Vegas, September 22-25. Cantu, L.A. and Boyd, P.A.: "Laboratory and F i e l d E v a l u a t i o n of a Combined F l u i d - L o s s C o n t r o l A d d i t i v e and Gel Breaker f o r F r a c t u r i n g F l u i d s , " SPE paper 18211, 1988 SPE Annual Technical Conference and E x h i b i t i o n , Houston, October 2-5. Ford, W.G.F and Penny, G.S.: " I n f l u e n c e of Downhole C o n d i t i o n s on the Leakoff P r o p e r t i e s of F r a c t u r i n g F l u i d s , " SPE Prod. Eng.. 1988, 3 ( 1 ) , 43-51. Harris, P.C.: "Dynamic F l u i d - L o s s C h a r a c t e r i s t i c s of C02-Foam F r a c t u r i n g F l u i d s , " SPE Prod. Eng^, 1987, 2 ( 2 ) , 89 Roodhart, L.P.: " F r a c t u r i n g F l u i d s : F l u i d - L o s s Measurements Under Dynamic C o n d i t i o n s , " Soc. Pet. Eng. J . . 1985, 25(5), 629-36. Zigrye, J.L., W h i t f i l l , D.L., and S i e v e r t , J.A.: " F l u i d - L o s s C o n t r o l D i f f e r e n c e s of C r o s s l i n k e d and L i n e a r F r a c t u r i n g F l u i d s , " J . Pet. Technol.. 1985, 3 7 ( 2 ) , 315-20. Crowell, R.F.: "Formation F r a c t u r i n g Method," US Patent 4,442,897(1984). Pacholke, G., R e t t i g , D., E i n s , I . , S h u l ' t s , G, F o e r s t e r , M., B a l l s c h u h , D., Rusche, J . , Ohme, R., and Markert, H.: " S t i m u l a t i o n of R e s e r v o i r Rocks," German Patent DD 159,657(1983). Ely, J.W.: "Water Flooding and F r a c t u r i n g Using Clean, Nondamaging F r a c t u r i n g F l u i d s , " US Patent 4,265,311(1981). King, G.E.: "Low F l u i d Loss Foam," US Patent 4,217,231(1980). Pacholke, G., R e t t i g , D., F o e r s t e r , M., S t a r k , H.J., and T i d e , R.: " S o l u t i o n f o r H y d r o f r a c t u r i n g an O i l - and Gas-Saturated Stratum," SU Patent 683,640(1979). D i l l , W.R. and E l p h i n g s t o n e , E.A.: "Preparing and Using A c i d i z i n g and F r a c t u r i n g Compositions, and F l u i d Loss A d d i t i v e s f o r Use T h e r e i n , " US Patent 4,107,057(1978). H i l l , O.F., Ward, A.J., and Clement, C C : " A u s t i n Chalk F r a c t u r i n g Design Using a C r o s s l i n k e d N a t u r a l Polymer as a D i v e r t i n g Agent," J . Pet. Technol.. 1978, 30(12), 1795-804. Fisher, H.B.: " S e a l i n g a Permeable Stratum with R e s i n , " US Patent 3,525,398(1970). McClaflin, G.G. and Jacocks, C.L.: " P o l y o I e f i n - E n c a p s u l a t e d S i l i c a : Low-Fluid-Loss A d d i t i v e f o r F r a c t u r i n g F l u i d s , " US Patent 3,466,242(1969). Harper, B.G. and Smith, C.F.: " F l u i d - L o s s C o n t r o l i n O i l Well Treatment," US Patent 3,409,548(1968). Kuhn, D.A. and Brown, J.L.: "Loss C o n t r o l A d d i t i v e f o r Subterranean F r a c t u r i n g F l u i d s , " US Patent 3,408,296(1968). Kuhn, D.A.: "Low L i q u i d Loss Composition," US Patent 3,405,062(1968). Gibson, D.L.: "Low-Fluid-Loss A d d i t i v e , " US Patent 3,351,079(1967).

M o d e l l i n g of F r a c t u r e Behavior(Ref. • •



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Barby, G.B. and Barbee, W.C: " U l t r a - H i g h C o n d u c t i v i t y F r a c t u r e S t i m u l a t i o n s : A Case H i s t o r y , " SPE paper 16222, 1987 SPE P r o d u c t i o n Operations Symposium, Oklahoma C i t y , March 8-10. Odeh, A.S. and Yang, H.T.: "Flow of Non-Newtonian Power Law F l u i d s Through Porous Media," SPE paper 7150, 1977 SPE of AIME Annual F a l l Technical Conference and E x h i b i t i o n , Denver, October 9-12. Warpinski, N.R., C l a r k , J.A., Schmidt, R.A., and Huddle, C.W.: "Laboratory I n v e s t i g a t i o n on the E f f e c t of I n - S i t u S t r e s s e s on H y d r a u l i c F r a c t u r e Containment," Soc. Pet. Eng. J . . June 1982, 333-339. Hanson, M.E., Anderson, G.D., S h a f f e r , R.J., and Thorson, L.D.: "Some E f f e c t s of S t r e s s , F r i c t i o n , and F l u i d Flow on H y d r a u l i c F r a c t u r i n g , " Soc. Pet. Eng. J . . June 1982, 321-332. Settari, A.: "A New General Model of F l u i d Loss i n H y d r a u l i c F r a c t u r i n g , " SPE/DOE paper 11625, 1983 SPE/DOE Symposium on Low P e r m e a b i l i t y , Denver, March 14-16. Dickey, P.A. and Andresen, K.H., "The Behavior of Water-Input W e l l s , " API. Secondary Recovery of O i l i n the U n i t e d S t a t e s , Second E d i t i o n , 1950, 332-40. Scott, P.P., J r . , Bearden, W.G., and Howard, G.C: "Rock Rupture as A f f e c t e d by F l u i d P r o p e r t i e s , " Soc. Pet. Eng. J.M953) 111-124; Trans., AIME, 198. Hubbert, M.K. and W i l l i s , D.G.: "Mechanics of H y d r a u l i c F r a c t u r i n g , " Soc. Pet. Eng. J.(1957) 153,166,167; Trans., AIME, 210. Khristianovic, S.A. and Z h e l t o v , Y.P.: "Formation of V e r t i c a l F r a c t u r e s by Means of H i g h l y V i s c o u s L i q u i d , " P r o c . Fourth World Pet. Cong. (1954) S e c t i o n II/T.O.P., 579-586. Perkins, T.K. and Kern, L.R.: "Widths of H y d r a u l i c F r a c t u r e s , " J . Pet. Technol .(Septemeber 1961) 937-949. Geertsma, J . and de K l e r k , F.: "A Rapid Method of P r e d i c t i n g Width and Extent of H y d r a u l i c a l l y Enduced F r a c t u r e s , " J . Pet. TechnoI.(1969) 1571-1581. Whitsitt, N.F. and D y s a r t , G.R.: "The E f f e c t of Temperature on S t i m u l a t i o n Design," J . Pet. T e c h n o I . ( A p r i l 1970) 493,495-502. Daneshy, A.A.: "Opening of a P r e s s u r i z e d F r a c t u r e i n an E l a s t i c Medium," SPE paper 7616, 1971 Annual T e c h n i c a l Meeting of SPE of CIM, Banff, June 2-4. Nordgren, R.P.: "Propagation of a V e r t i c a l H y d r a u l i c F r a c t u r e , " Soc. Pet. Eng. J.(August 1972), 306-314.

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OIL-FIELD CHEMISTRY H a r r i n g t o n , L . J . , Hannah, R.R., and W i l l i a m s , D.: "Dynamic Experiments on Proppant S e t t l i n g i n C r o s s l i n k e d F r a c t u r i n g F l u i d s , " SPE paper 8342, 1979 SPE Annual T e c h n i c a l Conference and E x h i b i t i o n , Las Vegas, September 23-26. Hannah, R.R., H a r r i n g t o n , L . J . and P o t t e r , J.S. J r . : "Post F r a c t u r i n g Behavior of F r a c t u r i n g G e l s and I t s I n f l u e n c e on F r a c t u r e C l o s u r e and Proppant D i s t r i b u t i o n , " SPE paper 9331, 1980 Annual F a l l T e c h n i c a l Conference and E x h i b i t i o n of SPE o f AIME, D a l l a s , September 21-24. Cloud, J.E. and C l a r k , P.E.: " S t i m u l a t i o n F l u i d Rheology I I I . 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C l a r k , P.E. and G u l e r , N.: "Prop Transport i n V e r t i c a l F r a c t u r e s : S e t t l i n g V e l o c i t y C o r r e l a t i o n s , " 1983 SPE/DOE paper 11636, SPE/DOE Symposium on Low P e r m e a b i l i t y , Denver, March 14-16. T o r r , R.S.: " P a r t i c l e S e t t l i n g i n V i s c o u s Non-Newtonian Hydroxyethyl C e l l u l o s e Polymer S o l u t i o n s , " AlChE Journal ( V o l . 29, No. 3) May, 1983, pages 506-508. Meyer, B.R.: " G e n e r a l i z e d Drag C o e f f i c i e n t A p p l i c a b l e f o r A l l Flow Regimes," O i l Gas J . . May 26, 1986, 71-77. Lord, D.L.: "Turbulent Flow of S t i m u l a t i o n F l u i d s : An E v a l u a t i o n of F r i c t i o n Loss Scale-Up Methods," SPE paper 16889, 1987 SPE Annual T e c h n i c a l Conference and E x h i b i t i o n , D a l l a s , September 27-30. Lee, W.S. and Daneshy, A.A.: " F r a c t u r e Geometry and Proppant-Transport Computation f o r M u l t i p l e F l u i d Treatment," SPE Prod. Eng. J . . (November 1987) 257-266. McDaniel, B.W. and Hoch, O.F.: " R e a l i s t i c Proppant C o n d u c t i v i t y Data Improve H y d r a u l i c F r a c t u r i n g Treatment Design," paper No. 87-38-73, 1987 Annual T e c h n i c a l Meeting of the Petroleum S o c i e t y of CIM, C a l g a r y , June 7-10. Daneshy, A.A.: "Numerical S o l u t i o n of Sand Transport i n H y d r a u l i c F r a c t u r i n g , " J . P e t . Technol.. January, 1978, 132-140. C l a r k , P.E., H a r k i n , M.W., Wahl, H.A., and S i e v e r t , J.A.: "Design of a Large V e r t i c a l Prop Transport Model," SPE paper 6814, 1977 Annual F a l l T e c h n i c a l Conference and E x h i b i t i o n of t h e SPEngineers o f AIME, Denver, October 9-12. Shah, S.N.: "Proppant S e t t l i n g C o r r e l a t i o n s f o r Non-Newtonian F l u i d s Under S t a t i c and Dynamic C o n d i t i o n s , " SPE paper 9330, 1980 Annual F a l l T e c h n i c a l Conference and E x h i b i t i o n of t h e SPE of AIME, D a l l a s , September 21-24. T o r r e s t , R.S.: "Aspects of S l u r r y and P a r t i c l e S e t t l i n g and Placement f o r V i s c o u s Gravel Packing (AQUAPAC)," SPE paper 11009, 1982 Annual F a l l T e c h n i c a l Conference and E x h i b i t i o n of t h e SPE of AIME, New O r l e a n s , September 26-29. T o r r e s t , R.S.: "The Flow of V i s c o u s Polymer S o l u t i o n s f o r Gravel Packing Through Porous Media," SPE paper 11010, 1962 Annual F a l l T e c h n i c a l Conference and E x h i b i t i o n o f t h e SPE of AIME, New O r l e a n s , September 26-29. Roodhart, L.P.: "Proppant S e t t l i n g i n Non-Newtonian F r a c t u r i n g F l u i d , " SPE paper/DOE 13905, 1985 Low P e r m e a b i l i t y Gas R e s e r v o i r s , Denver, May 19-22. ICirkby, L.L.: "Proppant S e t t l i n g V e l o c i t i e s i n Nonflowing S l u r r i e s , " SPE paper/DOE 13906, 1985 Low P e r m a b i l i t y Gas R e s e r v o i r s , Denver, May 19-22. Acharya, A.: " P a r t i c l e Transport i n V i s c o u s and V i s c o e l a s t i c F r a c t u r i n g F l u i d s , " SPE Prod. Eng.. March 1986, 104-110. Peden, J.M. and Luo, Y.: " S e t t l i n g V e l o c i t y of V a r i o u s l y Shaped P a r t i c l e s i n D r i l l i n g and F r a c t u r i n g F l u i d s , " SPE D r i l l i n g E n g i n e e r i n g . December 1987, 337-343. U a h l n e i e r , M.A. and Andrews, P.W.: "Mechanics of Gravel Placement and P a c k i n g : A Design and E v a l u a t i o n Approach," SPE Prod. Eng.. February 1988, pages 69-82. Baungartner, S.A. and Mack, D.J.: "On-Site Computer M o n i t o r i n g of Foamed S t i m u l a t i o n F l u i d s , " SPE paper 17531, 1988 SPE Rocky Mountain Regional Meeting, Casper, May 11-13. Novotny, E . J . : "Proppant T r a n s p o r t , " SPE paper 6813, 1977 Annual F a l l T e c h n i c a l Conference and E x h i b i t i o n of t h e SPE o f AIME, Denver, October 9-12. Misak, M.D., A t t e b e r r y , R.D., V e n d i t t o , J . J . and F r e d r i c k s o n , S.E.: "A F r a c t u r i n g Technique t o M i n i m i z e Water P r o d u c t i o n , " SPE paper 7563, 1978 Annual F a l l T e c h n i c a l Conference and E x h i b i t i o n of t h e SPE of AIME, Houston, October 1-3. Teeuu, D. and H e s s e l i n k , F.T.: "Power-Law Flow and Hydrodynamic Behavior of Biopolymer S o l u t i o n s In Porous Media," SPE paper 8982, 1980 SPE F i f t h I n t e r n a t i o n a l Symposium on O i l f i e l d and GeothermaI Chemistry, S t a n f o r d , May 28-30. Babcock, R.E., Prokop, C.L. and K e h l e , R.O.: " D i s t r i b u t i o n of Propping Agents i n V e r t i c a l F r a c t u r e s , " paper No. 851-41-A, 1967 API S p r i n g Meeting of the Mid-Continent D i s t r i c t D i v i s i o n of P r o d u c t i o n , Oklahoma C i t y , March 29-31.

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Bedeaux, D.: "The E f f e c t i v e V i s c o s i t y f o r a Suspension o f Spheres," J . C o l l . I n t e r f a c e S c i . . 1987, 118(1), 80-86. Norita, N., W h i t f i l l , D.L., and U a h l , H.A.: " S t r e s s - I n t e n s i t y Factor and F r a c t u r e CrossS e c t i o n a l Shape P r e c i c t i o n s From a 3-D Model f o r H y d r a u l i c a l l y Induced F r a c t u r e s , " SPE paper 14262, 1985 SPE Annual T e c h n i c a l Conference and E x h i b i t i o n , Las Vegas, September 22-25. Cunninghaa, R.D. and Nelson, R.G.: "A New Method f o r Determining a W e l l ' s I n - P l a c e Hydrocarbons From a P r e s s u r e B u i l d u p T e s t , " J . P e t . T e c h n o l . ( J u l y 1967) 859-866. Acharya, A. and Deysarkar, A.K.: "Rheology o f F r a c t u r i n g F l u i d s a t Low-Shear C o n d i t i o n s , " SPE paper 16917, 1987 Annual T e c h n i c a l Conference and E x h i b i t i o n , D a l l a s , September 27-30. Wilson, Ed, B. and Hsu, T.R.: "A Technique f o r t h e Measurement o f F r a c t u r e Toughness o f O i l Sands," P r o c . Tar Sands Svmp. 1986, 150-5. J e f r i , M.A., N i c h o l s , K.L., and Jayaraman, K.: "Sedimentation o f Two C o n t a c t i n g Spheres i n D i l u t e Polymer S o l u t i o n s , " Proc. Svmp. Recent Dev. S t r u c t . Continua.. 1985, 21-5. Al-Atter, H.H.: "The Combined E f f e c t o f O i l V i s c o s i t y , I n i t i a l Water S a t u r a t i o n and Water I n j e c t i o n Rate on t h e Performance o f F r a c t u r e d O i l R e s e r v o i r s , " J . P e t . Res.. 1984, 3 ( 2 ) , 116. Daneshy, A.A.: "On the Design of V e r t i c a l H y d r a u l i c F r a c t u r e s , " J . P e t . Technol..(1973 ) 83-97. van Doaselaar, H.R. and V i s s e r , W.: "Proppant C o n c e n t r a t i o n I n and F i n a l Shape of F r a c t u r e s Generated by V i s c o u s G e l s , " Soc. P e t . Eng. J..(1974) 531-536. 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Cleary, M.P.: "Comprehensive Design Formulae f o r H y d r a u l i c F r a c t u r i n g , " SPE paper 9259, 1980 SPE Annual T e c h n i c a l Conference and E x h i b i t i o n , D a l l a s , September 21-24. Cleary, M.P.: "Mechanisms and Procedures f o r t h e P r o d u c t i o n of D e s i r a b l e F r a c t u r e Shapes i n R e p r e s e n t a t i v e R e s e r v o i r Formations," SPE paper 9260, 1980 SPE Annual T e c h n i c a l Conference, D a l l a s , September 21-24. van Eekelen, H.A.M.: " H y d r a u l i c F r a c t u r e Geometry: F r a c t u r e Containment i n Layered Formations," Soc. P e t . Eng. J . . June 1982, 341-349. Nolte, K.G.: " F r a c t u r e Design C o n s i d e r a t i o n s Based on P r e s s u r e A n a l y s i s , " SPE paper 10911, 1982 SPE Cotton V a l l e y Symposium, T y l e r , May 20. See a l s o N o l t e , K.G.: " P r i n c i p l e s f o r F r a c t u r e Design Based on P r e s s u r e A n a l y s i s , " SPE Prod. Eng.. February 1988, 22-30; N o l t e , K.G.: " A p p l i c a t i o n of F r a c t u r e Design Based on P r e s s u r e A n a l y s i s , " SPE Prod. Eng.. February 1988, 3142. McLennan, J.D. and R o e g i e r s , J.C.: "How Instantaneous a r e Instantaneous S h u t - i n P r e s s u r e s ? , " SPE paper 11064, 1982 SPE Annual T e c h n i c a l Conference and E x h i b i t i o n , New O r l e a n s , September 26-29. Snith, M.B., Rosenberg, R.J., and Bowen, J.F.: " F r a c t u r e Width-Design v s . Measurement," SPE paper 10965, 1982 SPE Annual T e c h n i c a l Conference and E x h i b i t i o n , New O r l e a n s , September 2629. Soliaan, M.Y.: " M o d i f i c a t i o n s t o P r o d u c t i o n Increase C a l c u l a t i o n s f o r a H y d r a u l i c a l l y F r a c t u r e d W e l l , " J . P e t . Technol.(1983) 170-172. 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S e t t a r i , A. and C l e a r y , M.P.: "Development and T e s t i n g of a Pseudo-Three-Dimensional Model of H y d r a u l i c F r a c t u r e Geometry," SPE Prod. Eng.. J u l y 1986, 449-466. B i o t , M.A., Masse, L., and M e d l i n , W.L.: "A Two-Dimensional Theory of F r a c t u r e P r o p a g a t i o n , " SPE Prod. Eng.. January 1986, 17-30. T h i e r c e l i n , M.J. and Lemanczyk, Z.R.: " S t r e s s Gradient A f f e c t s the Height of V e r t i c a l H y d r a u l i c F r a c t u r e s , " SPE Prod. Eng.. J u l y 1986, 245-254. N o l t e , K.G.: " D e t e r m i n a t i o n of Proppant and F l u i d Schedules from F r a c t u r i n g - P r e s s u r e D e c l i n e , " SPE Prod. Eng.. J u l y 1986, 255-265. S h e l l e y , R.F. and McGowen, J.M.: "Pump-In Test C o r r e l a t i o n P r e d i c t s Proppant Placement," SPE paper 15151, 1986 SPE Rocky Mountain Regional Meeting, B i l l i n g s , May 19-21. 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R o e g i e r s , J.-C. and I s h i j i m a , Y.: "A Coupled F r a c t u r i n g Model and I t s A p p l i c a t i o n t o H y d r a u l i c F r a c t u r i n g , " SPE paper 12311, E a s t e r n Regional Meeting, Champion, November 9-11. Branagan, P.T., e t a l . : "Comprehensive Well T e s t i n g and Modeling of Pre- and P o s t - F r a c t u r e Well Performance of t h e MWX L e n t i c u l a r T i g h t Gas Sands," SPE paper/DOE 13867, 1985 SPE/DOE Low P e r m e a b i l i t y Gas R e s e r v o i r s , Denver, May 19-22. Read, D.A. and W e l l s , G.L.: "Measurement While F r a c t u r i n g f o r Comparing and O p t i m i z i n g t h e Performance of Well S t i m u l a t i o n Treatments," 1985 Proc. Annu. Southwest P e t . Short Course, 171176. U a r p i n s k i , N.R., e t a l . : " F r a c t u r i n g and T e s t i n g Case Study of P a l u d a l , T i g h t , L e n t i c u l a r Gas Sands," SPE/DOE paper 13876, 1985 SPE/DOE Low P e r m e a b i l i t y Gas R e s e r v o i r s , Denver, May 19-22. Uarenbourg, P.A., e t a l . : " F r a c t u r e S t i m u l a t i o n Design and E v a l u a t i o n , " SPE paper 14379, 1986 SPE P r o c . Rocky Mountain Regional Meeting, B i l l i n g s , May 18-21, 359-370. Meyer, B.R.: "Design Formulae f o r 2-D and 3-D V e r t i c a l H y d r a u l i c F r a c t u r e s : Model Comparison and P a r a m e t r i c S t u d i e s , " SPE paper 15240, 1986 SPE Unconventional Gas Technology Symposium, L o u i s v i l l e , May 18-21. Lau, K.Y., C l e a r y , M.P., and B a r r , D.T.: "A Complete Three-Dimensional S i m u l a t o r f o r A n a l y s i s and Design of H y d r a u l i c F r a c t u r i n g , " 1986 spe Unconventional Gas Technology Symposium, L o u i s v i l l e , May 18-21. C r o c k e t t , A.R., W i l l i s , R.M. J r . , and C l e a r y , M.P.: "Improvement of H y d r a u l i c F r a c t u r e P r e d i c t i o n s by Real-Time H i s t o r y Matching on Observed P r e s s u r e s , " SPE paper 15264, 1986 SPE Unconventional Gas Technology Symposium, L o u i s v i l l e , May 18-21. Vandanme, L., J e f f r e y , R.G., and Curran, J.H.: " P r e s s u r e D i s t r i b u t i o n i n Three-Dimensional H y d r a u l i c F r a c t u r e s , " SPE paper 15265, 1986 SPE Unconventional Gas Technology Symposium, L o u i s v i l l e , May 18-21. E l b e I , J.L.: "Designing H y d r a u l i c F r a c t u r e s f o r E f f i c i e n t Reserve Recovery," SPE paper 15231, 1986 SPE Unconventional Gas Technology Symposium, L o u i s v i l l e , May 18-21. M o l t e , K.G.: " F l u i d Flow C o n s i d e r a t i o n s i n H y d r a u l i c F r a c t u r i n g , " SPE Paper 18537, 1988 SPE E a s t e r n Regional Meeting, C h a r l e s t o n , November 1-4. McLeod, H.O., J r . : "The E f f e c t of P e r f o r a t i n g C o n d i t i o n s on Well Performance," SPE paper 10649, 1982 SPE Formation Damage C o n t r o l Symposium, L a f a y e t t e , March 24-25. J o p l i n g , M.W. and K e t c h e r , N.W.: "Real Time Decision-Making Through Use of a Log/Log P l o t During a Frac Job," SPE paper 16223, 1987 SPE P r o d u c t i o n Operations Symposium, Oklahoma C i t y , March 8-10. C i p o l l a , C.L. and Lee, S . J . : "The E f f e c t of Excess Propped F r a c t u r e Height on Well P r o d u c t i v i t y , " SPE paper 16219, 1987 SPE P r o d u c t i o n Operations Symposium, Oklahoma C i t y , March 8-10. Lee, W.S.: "Study of the E f f e c t s of F l u i d Rheology on M i n i f r a c A n a l y s i s , " SPE paper 16916, 1987 SPE Annual T e c h n i c a l Conference and E x h i b i t i o n , D a l l a s , September 27-30.

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In Oil-Field Chemistry; Borchardt, J., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 1989.

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McDaniel, B.W. and P a r k e r , M.A.: "Accurate Design of F r a c t u r i n g Treatment Requires C o n d u c t i v i t y Measurements a t Simulated R e s e r v o i r C o n d i t i o n s , " SPE paper 17541, 1988 SPE Rocky Mountain Regional Meeting, Casper, May 11-13. McLeod, H.O. J r . : "The E f f e c t of P e r f o r a t i n g C o n d i t i o n s on Well Performance," SPE paper 10649, 1982 SPE Formation Damage C o n t r o l Symposium, L a f a y e t t e , March 24-25. McDaniel, B.W.: "Use o f Wet Gas Flow f o r Long Term F r a c t u r e C o n d u c t i v i t y Measurements i n t h e Presence of Gel F i l t e r Cakes," SPE paper 17543, 1988 Rocky Mountain Regional SPE Meeting, May 11-13.

In Oil-Field Chemistry; Borchardt, J., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 1989.

HARMS Appendix •

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Schlottnan,

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II

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t h e E a s t Texas C o t t o n V a l l e y S a n d s , " SPE paper 10133, 1981 E x h i b i t i o n of AIME, San A n t o n i o , O c t o b e r •

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S h o r t C o u r s e , Lubbock,

Conway, M.W. and H a r r i s , Fracturing

Stimulation

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L . E . : "A L a b o r a t o r y and F i e l d E v a l u a t i o n of a T e c h n i q u e f o r

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and W i l l i s ,

1984

Anaheim, May 2 0 - 2 4 .

F r e c k , J . and G o t t s c h l i n g , J . : "A F i e l d and L a b o r a t o r y S t u d y of P o l y s a c c h a r i d e s i n Treatments,"



10964,

P a y n e , K . L . , and Harms, S . D . : "Recent Developments AIChE N a t i o n a l



for

P a i , V . J . : " P r e d i c t i n g , P r e v e n t i n g and Remedying H y d r a u l i c F r a c t u r i n g S c r e e n O u t s , " 1984 P r o c . Annu. Southwest.



Fracture Design

SPE Annual T e c h n i c a l C o n f e r e n c e and

5-7.

K.:

Pet.

S h o r t C o u r s e , Lubbock,

Fracturing

141-156.

" F r a c t u r e E x e c u t i o n - An E s s e n t i a l P a r t of E v e r y F r a c t u r e D e s i g n , "

paper No. 8 6 - 3 7 - 7 0 , 1986 Annual T e c h n i c a l M e e t i n g of the P e t r o l e u m S o c i e t y o f CIM, C a l g a r y , June 8-11. •

Zigrye,

J . L . , O s b o r n e , M.W.,

and Westbrook,

G . H . : " F i e l d A n a l y s i s and Flow Loop T e s t s D i a g n o s e

Problems w i t h D e l a y e d A c t i o n C r o s s l i n k e d F r a c t u r i n g F l u i d S y s t e m s , " SPE paper 15633, 1986 Annual T e c h n i c a l C o n f e r e n c e and E x h i b i t i o n o f •

Hodge, R.

M. and B a r a n e t ,

Fracturing Antonio, •

Pet.

1987

I n t e r n a t i o n a l Symposium on O i l f i e l d

Chemistry,

Lescarboura, J . A . , Sifferman,

Polymers,"

721-730.

T.R.

P r e s s u r i z e d Flow L o o p , "

Exhibition,

San

4-6.

E n g . J . . December 1981,

a Heated, •

16249,

5-8.

F i e l d Methods t o D e t e r m i n e C r o s s l i n k Times of

T y s s e e , D . A . and V e t t e r , O . J . : " C h e m i c a l C h a r a c t e r i z a t i o n Problems of W a t e r - S o l u b l e Soc.



F l u i d s , " SPE paper

February

t h e S P E , New O r l e a n s , O c t o b e r

S . E . : " E a v l u a t i o n of

and Wahl,

H.A.:

SPE paper

New O r l e a n s , September

" E v a l u a t i o n of

10962,

1982

Frac F l u i d S t a b i l i t y Using

SPE Annual

T e c h n i c a l C o n f e r e n c e and

26-29.

G a r d n e r , D . C . and E i k e r t s , J . V . : " E f f e c t s of Shear and Proppant on the V i s c o s i t y of C r o s s l i n k e d F r a c t u r i n g F l u i d s , " SPE paper 11066, 1982 SPE Annual F a l l T e c h n i c a l C o n f e r e n c e and E x h i b i t i o n , New O r l e a n s , September



McLeod,

H.O.,

Jr.:

"A

26-29. Simplified

Approach

to

Design

of

Fracturing

Treatments

Using

High

V i s c o s i t y C r o s s l i n k e d F l u i d s , " SPE/DOE paper 11614, 1983 SPE/DOE Symposium on Low P e r m e a b i l i t y , Denver, •

March

Gardner,

D.C.

14-16. and

Eikerts,

J.V.:

"Rheological

Characterization

of

C r o s s l i n k e d and

Delayed

C r o s s l i n k e d F r a c t u r i n g F l u i d s U s i n g a C l o s e d - L o o p P i p e V i s c o m e t e r , " SPE paper 12028, 1983 SPE Annual T e c h n i c a l C o n f e r e n c e and E x h i b i t i o n , •

Fluids • •



- E v a l u a t i o n M e t h o d , " SPE P r o d . E n g . ( J a n u a r y (1986):

Graves,

and F e l l i n ,

G.

E.:

"Automated

P r e s e n t e d at

L u b b o c k , March 6 ,

1986.

King,

M.T.,

C o n s t i e n , V . G . , and

Fellin,

Ely,

Oil

Gas J . ( F e b r u a r y

Facilitates

Acid

Fracturing

Fluid

"Automated

Rheology L a b o r a t o r y .

2,"

American

114-122.

1985),

Houston, October

Conditions

of

Temperature Dallas,

17199,

1988

II:

and

Shear,"

September

SPE paper

of

Fracturing

16915,

1987

F l u i d V i s c o s i t y at

SPE Annual

Technical

27-30.

"The C h a r a c t e r i z a t i o n o f a D r i l l i n g

IADC/SPE D r i l l i n g

2-5.

Improved w i t h F i e l d Rheology

47-51.

J . W . , H a s k e t t , S . E . , H o l d i t c h , S . A . : " F i e l d Measurement

Conference, D a l l a s ,

F l u i d A d d i t i v e , " IADC/SPE

F e b r u a r y 28-March

2.

C r a i g i e , L . J . : "A New Method f o r D e t e r m i n i n g the Rheology o f C r o s s l i n k e d F r a c t u r i n g F l u i d s u s i n g Shear

History

Denver,

March

Simulation,"

Matthews, T . M . : 2625,

1969

SPE/DOE paper

11635,

1983

SPE/DOE Symposium on Low

Permeability,

14-16.

Emulsion Frac F l u i d s ( R e f .



4,

E n g l a n d , A . A . and D a v i s , N . , paper



E.L.:

(1986):

SPE Annual T e c h n i c a l C o n f e r e n c e and E x h i b i t i o n ,

C o n f e r e n c e and E x h i b i t i o n ,



Rheology Equipment

the SPE Computer T e c h n o l o g y Symposium, Texas Tech U n i v e r s i t y ,

S h a h , S . N . , L e e , Y . N . , and J e n s e n , D . G . : " F r a c Treatment Q u a l i t y

In-Situ •

1 . " American C h e m i c a l S o c i e t y Symposium

S a u c i e r , R . J . : "A F i e l d Development Program i n H y d r a u l i c F r a c t u r e S t i m u l a t i o n , " SPE paper 18257,

Unit," •

5-8.

55-61.

105-113.

Characterization,"

1988 •

1986)

C o n s t i e n , V . G . , e t a l . : "Automated Rheology L a b o r a t o r y . S e r i e s 313

C h e m i c a l S o c i e t y Symposium S e r i e s . 313 •

San F r a n c i s c o , O c t o b e r

S h a h , S . N . and W a t t e r s , L . T . : "Time and Shear E f f e c t s on R h e o l o g i c a l P r o p e r t i e s of C r o s s l i n k e d

342)

" F i e l d Use of

SPE Annual M e e t i n g ,

'Superfrac' Denver,

- A New H y d r a u l i c

September 2 8 - 0 c t o b e r

F r a c t u r i n g T e c h n i q u e , " SPE paper 1.

S i n c l a i r , A . R . : "Rheology of V i s c o u s F r a c t u r i n g F l u i d s , " J . P e t .

T e c h n o l . ( J u n e 1970)

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