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Perubahan parameter fisis terkait dengan proses perusakan

HUBUNGAN ANTARA SIFAT-SIFAT FISIKA BATUAN

5. Perubahan parameter fisis terkait dengan proses perusakan

Perusakan berhubungan dengan perubahan keadaan internal batuan. Perubahan

pre dan post perusakan adalah subjek studi tentang proses perusakan dan masalah

prediksi gempabumi. Volarovich dan Budnikov (1979) telah menyelidiki perubahan kecepatan gelombang P dan S selama dilakukan eksperimen tekanan uniaksial pada plagiogranit dan genis. Kecepatan yang didapat dari observasi ditunjukkan pada gambar 4.11 dalam grafik vp/vs vs vs.

Gambar 4.11 Analisa perubahan rasio vp/vs selama proses perusakan

Grid: perhitungan model dengan struktur internal untuk sudut struktur yang berbeda-beda () dan parameter pertalian (f); faktor empiris A adalah 7800 m/s

Titik: data eksperimen (dari Volarovich dan Budnikov, 1979); anak panah menunjukkan arah kenaikan tekanan (dari 0 sampai sekitar 0.8 Gpa pada saat terjadi perusakan)

o adalah plagiogranit dan

67 Pada fase pre-perusakan data mengikuti loop perubahan struktur dan pertalian yang dominan. Perubahan struktur mungkin adalah perubahan pada sistem perusakan aktif arah utama dibawah kondisi 3 tekanan. Perubahan pertalian dengan naiknya nilai parameter f dapat diinterpretasikan sebagai hilangnya hubungan mekanik antara butir dan mineral disepanjang retakan dan kerusakan lainnya. Fenomena ini mungkin berhubungan dengan dilatasi. Contoh ini menunjukkan bahwa konsep sebuah model termasuk struktur dan pertalian mungkin cocok untuk menganalisa fenomena kerusakan.

Gambar 4.12. Perubahan kecepatan gelombang longitudinal dan transversal pada lempeng tektonik aktif daerah California. Data dari Aggarwal et al. (1973)

a) data vp dan vs observasi dan rasio; anak panah menunjukkan kejadian dengan magnitudo M>4 b) hasil perhitungan vp/vs vs vs dan data observasi dari gambar 10.27a (hanya 2 loop yang diplot), A

68 Penelitian seismologi untuk gelombang longitudinal dan transversal (Gambar 4.12a) lebih dari periode 11 tahun ditunjukkan pada grafik vp/vs vs vs (gambar 4.12b dan 4.12c). Juga ditunjukkan tipikal-tipikal loop gempabumi. Loop yang lebih kecil berhubungan dengan magnitudo yang kecil pada tahun 1964 dan loop yang besar berhubungan dengan gempabumi San Fernando pada tahun 1971.

Dapat diperhatikan pula perubahan resistivitas elektrik dapat diinterpretasikan karena perubahan orientasi retakan aktif dengan tipe model seperti ini (Schon, 1983). REFERENSI

Akbar, N., Dvorkin, D., and Nur, A., 1993, Relating P-wave attenuation to permeability.

Geophysics, vol. 58, 20-29.

Allen, J.L., and Peddy, C.P., 1993. Amplitude variation with offset: Gulf coast case studies. Edited by Franklyn K. Levin, SEG, v. 4: Tulsa, Oklahoma, USA.

Alterman, Z. S., dan Karal, F. C., Jr., 1968, Propagation of elastic waves in layered media by finite-difference methods. Bull. Seism. Soc. Am, 58, 367-398.

Assefa, S., McCann, C., and Sothcott, J., 1999, Attenuation of P- and S- waves in limestones. Geophysical Prospecting, vol. 47, p. 359-392.

Badiey, M., and Yamamoto, T., 1985, Propagation of acoustic normal modes in a homogeneous ocean overlaying layered anisotropic porous beds. J.Acoust Soc. Am., vol.77, 954 – 961.

Berryman, G.J. and Milton, G., 1991, Exact results for generalized Gassmann’s Equation in composite porous media with two constituents. Geophysics, vol 56, no. 12, 1950-1960.

Best, A.I., McCann, C., and Sothcott, J., 1994, The relationships between the velocities, attenuations, and petrophysical properties of reservoir sedimentary rocks.

Geophysical Prospecting, vol. 42, 151-178.

Best, A.I., 1997, The effect of pressure on ultrasonic velocity and attenuation in near-surface sedimentary rocks.Geophysical Prospecting, 45, p.345-364.

Best, A.I., and Sams, M.S., 1997, Compressional wave velocity and attenuation at ultrasonic and sonic frequencies in near-surface sedimentary rocks.Geophysical

Prospecting, vol. 45, 327-344.

Biot, M. A., 1956a, Theory of elastic waves in a fluid-saturated porous solid, part I: Low-frequency range. J. Acoust. Soc. Am. vol.28, 168-178.

Biot, M. A., 1956b, Theory of propagation of elastic waves in fluid-saturated porous solid, part II: Higher frequency range. J. Acoust. Soc. Am. vol.28, 179-191.

Biot, M. A., 1962,Theory of acoustic propagation in porous dissipative media. J. Acoust.

Soc. Am. vol.34, 1254-1264.

Castagna, J.P., Batzle, M.L., and Kan, T.K., 1993, Rock physics – The link between rock properties and AVO response, in Offset-Dependent Reflectivity-Theory and Practice of AVO Analysis, J.P. Castagna and Backus, eds. Investigations in Geophysics, No.8, SEG, Tulsa, Oklahoma, 3-36.

69 Castagna, J.P., Batzle, M.L., and Eastwood, R.L., 1985, Relationships between compressional-wave and shear-wave velocities in clastic silicate rocks. Geophysics, vol.50, 571-581.

Carcione, J.M. and Seriani, G., 1998, Seismic and ultrasonic velocities in permafrost.

Geophysical Prospecting, vol. 46, 441-454.

de la Cruz, V., and Spanos, T.J.T., 1985, Seismic wave propagation in a porous medium.

Geophysics, vol. 50, 1556-1565.

Domenico, S.N., 1977, Elastic properties of unconsolidated porous sand reservoirs.

Geophysics, vol. 42, 1339-1368.

Domenico, S. N., 1976, Effect of brine-gas mixture on velocity in an unconsolidated sand reservoir. Geophysics, vol.42, 882-894.

Dunn Keh-Jim, Gerald A. LaTorraca and David J. Bergman, 1999, Permeability relation with other petrophysical parameters for periodic porous media. Geophysics, vol.64, 470-478.

Dutta, N.C., and Ode, H., 1979a, Attenuation and dispersion of compressional waves in fluid-filled porous rocks with partial gas saturation (White model) – Part I : Biot theory. Geophysics, vol.44, 1777-1788.

Dutta, N.C., and Ode, H., 1979b, Attenuation and dispersion of compressional waves in fluid-filled porous rocks with partial gas saturation (White model) – Part II : Results. Geophysics, vol.44, 1789-1805.

Dvorkin, J., and Nur, A., 1993, Dynamic poroelasticity: A unified model with the squirt and the Biot mechanisms. Geophysics, vol. 58, 524-533.

Dvorkin, J., Nolen-Hoeksema, R., and Nur, A., 1994, The squirt-flow mechanism Macroscopic description. Geophysics, vol. 59, 428-438.

Dvorkin, J., Mavko, G, and, Nur, A., 1995, Squirt flow in fully saturated rocks. Geophysics, vol. 60, 97-107.

Futterman, W. I., 1962, Dispersive Body Waves. Journ. Geoph. Res., vol.67, 5279-5291. Ganley, D.C., 1981, A method for calculating synthetic seismograms which include the

effect of absorption and dispersion. Geophysics, vol.46, 1100 – 1107.

Gardner, G.H.F, Gardner, L.W., and Gregory, A.R., 1974, Formation velocity and density – The diagnostic basic for stratigraphic traps. Geophysics, vol.39, 770-780. Gassmann, F., 1951, Elastic waves through a packing of spheres. Geophysics, vol.16,

673-685.

Geertsma, J., 1961. Velocity-log interpretation: The effect of rock bulk compressibility. AIME, v.1: 235-248.

Geertsma, I. , and Smit, D.C., 1961, Some aspects of elastic wave propagation in fluid-saturated porous solids. Geophysics, vol. 26, 169-181.

Gibson, R.L. Jr and Toksoz M.N., 1990, Permeability estimation from velocity anisotropy in fracture rock. Journ. Geoph. Res., vol. 95, No. B10, 15643-15655.

Grant, F. S., and West, G. F., 1965, Interpretation Theory in Applied Geophysics. Mc Graw Hill Book Co. Inc, New York.

Gueguen, Y., and Palciauskas, V., 1994, Introduction to the Physics of Rocks. Princeton University Press. Princeton.

Han, D., Nur, A., and Morgan, D., 1986, Effects of porosity and clay content on wave velocities in sandstones. Geophysics, vol.51, 2093-2107.

Hassanzadeh, S., 1991, Acoustic modeling in fluid-saturated porous media. Geophysics, vol. 56, 424-435.

70 Hovem, J.M., and Ingram, G.D., 1979, Viscous attenuation of sound in saturated sand. J.

Acoust. Soc. Am., vol.66, 1807-1812.

Huang, Z., Shimeld, J., Williamson, M., and Katsube, J., 1996, Permeability prediction with artificial neural network modeling in the Venture gas field, offshore eastern Canada.. Geophysics, vol. 61, 422-436.

Johnston, D. H., Toksz, M. N., Timur, A., 1979, Attenuation os seismic wave in dry and saturated rocks (II. Mechanisms). Geophysics, vol.44, 691-711.

Johnston, D. H., and Toksz, M. N., 1981, Seismic wave attenuation. SEG Geophysics reprint series No.2, Tulsa, Oklahoma.

Keller, T., Motschmann, U., and Engelhard, L., 1999, Modeling the poroelasticity of rocks and ice. Geophysical Prospecting, vol. 47, 509-526.

Klimentos, T., 1991, The effects of porosity-permeability-clay content on the velocity of compressional waves. Geophysics, vol.56, 1930-1939.

Klimentos, T. And McCann, C., 1990, Relationships among compressional wave attenuation, porosity, clay content, and permeability in sandstone. Geophysics, vol.55, 998-1014.

Knight, R, Jack Dvorkin and Amos Nur, 1998, Acoustic signatures of partial saturation.

Geophysics, vol. 63, 132-138.

Mavko, G., Mukerji, T., and Dvorkin, J., 1998, The rocks physics Handbook: Tool for Seismic Analysis in Porous media, Cambridge Univ. Press, USA.

Mavko, G., and Mukerji, T., 1998, Bounds on low-frequency seismic velocities in partially saturated rocks. Geophysics, vol. 63, 918-924.

Mavko, D., and Nur, A., 1975, Melt squirt in the astenosphere. Journ. Geoph. Res., vol.80, 1444-1448.

Mavko, G., and Nur, A., 1979, Wave attenuation in partially saturated rocks. Geophysics, 44, 161-178.

Mavko, G., and Jizba, D., 1991, Estimating grain-scale fluid effects on velocity dispersion in rocks. Geophysics, vol.56, 1940-1949.

McCann, C., and McCann, D.M., 1985, A Theory of compressional wave attenuation in noncohesive sediments. Geophysics, vol.50, 1311-1317.

Mulyadi, dan Munadi, S., 2000, Saturasi dan Permeabilitas dari log sonik. Prosiding HAGI, PIT ke 25, Bandung, 219-223.

Munadi, S., 1998, Laporan penelitian tentang reservoir geophysics. Lemigas, Jakarta. Pickett, G.R., 1963, Acoustic character log and their applications in formation evaluation.

Journ. Petr. Technol., 659-667.

Rafavich, F., Kendall, C.H.St.C., and Todd, T.P., 1984, The relationship between acoustic properties and the petrographic character of carbonate rocks. Geophysics, vol. 49,1632-1636.

Saar, M.O., and Manga, M., 1999, Permeability-porosity relationship in vesicular basalts.

Geophysical Research Letters, vol. 26, 111-114.

Santoso, D., Alfian, B., Alam, S., Sulistiyono, Hendarajaya, L., and Munadi, S., 1995, Estimation of limestone reservoir porosity by seismic attribute and AVO analysis.

Exploration Geophysics, vol.26, 437-443.

Santoso, D., Kadir, W.G.A., and Alawiyah, S., 1999, Delineation of reservoir boundary using AVO analysis. Submitted on Exploration Geophysics.

Schon, J.H., 1998, Physical properties of rocks, fundamentals and principles of petrophysics. Handbook of geophysical exploration. Section 1, Seismic exploration, Pergamon, Netherland.

71 Sen, P.N., Straley, C., Kenyon, W.E., and Whittingham, M.S., 1990, Surface-to-volume ratio, charge density, nuclear magnetic relaxation, and permeability in clay-bearing sandstone. Geophysics, vol.55, 61-69.

Sheriff, R.E., and Geldart, L.P., 1995, Exploration Seismology. 2nd edition, Cambridge University Press.

Smith, G.C., and Gidlow, P.M., 1987, Whited stacking for rock property estimation and detection of gas. Geophysical Prospecting, vol.35, 993-1014.

Stoll, R.D., 1974, Acoustic waves in saturated sediments. Physics of sound in marine sediments, Plenum Press, 19-39.

Subiyanto, B., 1996, Amplitude versus offset processing and analysis. Thesis, The university of Tulsa, USA.

Tosaya, C., and Nur, A., 1982, Effects of diagenesis and clays on compressional velocities in rocks. Geophysical Research Letters , vol.9, 5-8.

Turgut, A., and Yamamoto, T., 1988, Synthetic seismograms for marine sediments and determination of porosity and permeability. Geophysics, vol. 53, 1056-1067.

Turgut, A., and Yamamoto, T., 1990, Measurements of acoustic wave velocities and attenuation in marine sediments. J. Acoust. Soc. Am., vol.87, 2376 – 2383.

Turgut, A., 2000, Approximate expressions for viscous attenuation in marine sediments: Relating Biot’s “critical’ and “peak” frequencies. J. Acoust. Soc. Am., 108(2), 513 – 518.

White, J.E., 1975, Computed seismic speeds and attenuation in rocks with partial gas saturation. Geophysics, vol.40, 224-232.

White, J.E., 1986, Biot-Gardner theory of extensional waves in porous rods. Geophysics, vol.51, 742-745.

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