Viscous deformation of unconsolidated reservoir sands - Part 2: Linear viscoelastic models

Geophysics

Volumn 69, Issue 3, 2004, Pages 742-751

  Hagin, Paul N ^a,b   Zoback, Mark D ^a  

^a STANFORD UNIVERSITY   (United States)

^b New England Research   (United States)

Author keywords

Deformation; Geophysical techniques; Modelling; Reservoirs; Sand; Viscoelasticity; Viscosity

Indexed keywords

CYCLIC LOADS; DEFORMATION; DISPERSIONS; ELASTIC MODULI; EXPONENTIAL FUNCTIONS; FORECASTING; MODELS; PETROLEUM RESERVOIRS; SAND; STRESS ANALYSIS; VISCOELASTICITY; VISCOSITY;

ATTENUATION CHARACTERISTICS; FUNCTION OF FREQUENCY; GEOPHYSICAL TECHNIQUES; LINEAR VISCOELASTICITY THEORY; PHENOMENOLOGICAL MODELING; PHENOMENOLOGICAL MODELS; SINGLE RELAXATION TIME; STANDARD LINEAR SOLID MODELS;

CREEP;

EID: 33846699435     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.1759460     Document Type: Article

References (18)

1. Abramowitz, M., and Stegun, I. A., Handbook of Mathematical Functions, Dover: 1972.
2. Biot, M. A., 1962, Mechanics of deformation and acoustic propagation in porous media: Journal of Applied Physics, 33, 1482-1498. JAPIAU 0021-8979
3. Chang, C., Moos, D., and Zoback, M. D., 1997, Anelasticity and dispersion in dry unconsolidated sands: International Journal of Rock Mechanics, 34, 402. IJRMA2 0148-9062
4. De Waal, J. A., and Smits, R. M., 1988, Prediction of reservoir compaction and surface subsidence: Field application of a new model: SPE Formation Evaluation, 347-356. SFEVEG 0885-923X
5. Dudley, J., Myers, M., Shew, R., and Arasteh, M., 1994, Measuring compaction and compressibilities in unconsolidated reservoir materials via time-scaling creep, in Eurock 94 meeting, Proceedings: Balkema, 45-54.
6. Findley, W. N., Lai, J. S., and Onaran, K., Creep and relaxation of nonlinear viscoelastic materials with an introduction to linear visoelasticity, Dover: 1976.
7. Griffiths, D. V., 1994, Coupled analysis in geomechanics, in N. D. Cristecu and G. Gioda, eds., Viscoplastic behavior of geomaterials: Spinger-Verlag, 245-318.
8. Hagin, P., and Zoback, M. D., 2004, Viscous deformation of unconsolidated reservoir sands - Part 1: Time-dependent deformation, frequency dispersion, and attenuation: Geophysics, 69, 731-741, this issue.
9. Hildebrand, F. B., Advanced calculus for applications, Prentice Hall: 1962.
10. Kosloff, D., and Scott, R. F., 1980, Finite element simulation of Wilmington oilfield subsidence: I, Linear modeling: Tectonophysics, 65, 339-368. TCTOAM 0040-1951
11. Lakes, R. S., Viscoelastic solids, CRC Press: 1999.
12. Mavko, G., and Jizba, D., 1991, Estimating grain-scale fluid effects on velocity dispersion in rocks: Geophysics, 56, 1940-1949. GPYSA7 0016-8033
13. Mavko, G., Mukerji, T., and Dvorkin, J., The rock physics handbook: Tools for seismic analysis in porous media, Cambridge University Press: 1998.
14. Moos, D., and Walker, S., 1997, Hydrocarbon detection behind casing in the Wilmington Field, CA: AAPG Bulletin, 81, 690. AABUD2 0149-1423
15. Ostermeier, R. M., 1995, Deepwater Gulf of Mexico turbidites-compaction effects on porosity and permeability: SPE Formation Evaluation, 79-85. SFEVEG 0885-923X.
16. Tschoegl, N. W., The phenomenological theory of linear viscoelastic behavior, Springer-Verlag: 1989.
17. Tutuncu, A. N., Podio, A. L., Gregory, A. R., and Sharma, M. M., 1998, Nonlinear viscoelastic behavior of sedimentary rocks, Part I: Effect of frequency and strain amplitude. Geophysics, 63, 184-194. GPYSA7 0016-8033 Geophysics
18. Wood, D. M., Soil behaviour and critical state soil mechanics, Cambridge University Press: 1990.