Lithologic Reservoirs ›› 2018, Vol. 30 ›› Issue (5): 82-90.doi: 10.12108/yxyqc.20180510

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Inversion of rock physics parameters based on KT model fluid substitution

PENG Da1,2, XIAO Fusen1, RAN Qi1, XIE Bing1, CHEN Xiao1, ZHANG Fuhong1, CHEN Kang1, XU Xiang1   

  1. 1. Research Institute of Exploration and Development, PetroChina Southwest Oil & Gas Company, Chengdu 610015, China;
    2. Post-Doctoral Mobile Station, Southwest Petroleum University, Chengdu 610500, China
  • Received:2017-12-15 Revised:2018-03-02 Online:2018-09-14 Published:2018-09-14

Abstract: There are many rock physics parameters in rock physics model,some parameters are directly obtained from log data or lab data,and the others are indirectly obtained by inversion,such as mineral matrix elastic modulus and pore geometry. It's important to investigate estimation methods for these rock physics parameters. For the sandstone reservoir,three different pore aspect ratios were used to describe the pore structure of sandstone,Biot's coefficient was used to determine the variation range of mineral matrix elastic modulus,and combined with simulated annealing simulated annealing algorithm,an inversion method for estimating rock physics parameters based on KT model fluid substitution was proposed. The mineral matrix bulk and shear modulus of 42 sandstone samples were inversed,and their pore aspect ratio spectrum were inversed simultaneously. The results show that:pore aspect spectrum has a great effect on rock elastic properties;pore aspect spectrum can be used to depict pore structure and diagenesis;using KT model with three pore aspect ratios to carry out fluid substitution simulation has a good adaptability;percentages of crack pores have a high sensitivity to rock elastic modulus.

Key words: KT model, fluid substitution, rock physics parameters, mineral matrix elastic modulus, pore aspect ratios spectrum

CLC Number: 

  • P315
[1] BIOT M A. Theory of propagation of elastic waves in a fluid saturated porous solid. Ⅰ:Low frequency range,and Ⅱ:Higherfrequency range. Journal of the Acoustical Society of America, 1956,28(2):168-196.
[2] GASSMANN F. Elastic waves through a packing of spheres. Geophysics,1951,16(4):673-682.
[3] AMENT W. Sound propagation in gross mixtures. Journal of the Acoustical Society of America,1953,25(4):638-641.
[4] ESHELBY J D. The determination of the elastic field of an ellipsoidal inclusion,and related problems. Proceedings of the Royal Society of London,1957,A241:376-396.
[5] WALSH J B. The effect of cracks on the compressibility of rock. Journal of Geophysical Research,1965,70(2):381-389.
[6] WU T T. The effect of inclusion shape on the elastic moduli of a two-phase material. International Journal of Solids and Structures,1966,2(1):1-8.
[7] KUSTER G T,TOKSöZ M N. Velocity and attenuation of seismic waves in two-phase media. Geophysics,1974,39(5):587-606.
[8] O'CONNELL R J,BUDIANSKY B. Seismic velocities in dry and saturated cracked solids. Journal of Geophysical Research, 1974,79(35):4626-4627.
[9] BERRYMAN J G. Long-wavelength propagation in composite elastic media. Journal of the Acoustical Society of America, 1980,68(6):1809-1831.
[10] ZIMMERMAN R W. The elastic moduli of a solid with spherical pores:New self-consistent method. International Journal of Rock Mechanics and Mining Sciences,Geomechanics Abstracts, 1984,21(6):339-343.
[11] WALTON K. The effective elastic moduli of a random packing of spheres. Mech Phys Solids,1987,35(2):213-226.
[12] DIGBY P J. The effective elastic moduli of porous granular rocks. Journal of Applied Mechanics,1981,48(4):803-808.
[13] NORRIS A N,JOHNSON D L. Nonlinear elasticity of granular media. Physica B Physics of Condensed Matter,2000,279(1):134-138.
[14] MINDLIN R D. Compliance of elastic bodies in contact. Journal of Applied Mechanics,1949,16(3):259-268.
[15] DVORKIN J,NUR A,YIN H. Effective properties of cemented granular material. Mechanics of Materials,1994,18(4):351-366.
[16] WANG Z J. Fundamentals of seismic rock physics. Geophysics, 2001,66(2):398-412.
[17] MAVKO G,MUKERJI T,DVORKIN J. The rock physics handbook. Cambridge:Cambridge University Press,1998:260-263.
[18] VOIGT W. Textbook of crystal physics. Leipzig:Teubner,1910:100-105.
[19] REUSS A. Calculation of the yield point from mixed crystals. Math Mech,1929,9(5):49-58.
[20] HILL R. The elastic behavior of crystalline aggregate. Proceedings of the Physical Society,1952,65(5):349-354.
[21] HASHIN Z,SHTRIKMAN S. A variational approach to the elastic behavior of multiphase materials. Journal of the Mechanics & Physics of Solids,1963,11(2):127-140.
[22] 云美厚,易维启,庄红艳.砂岩的弹性模量与孔隙率、泥质含量、有效压力和温度的经验关系.石油地球物理勘探,2001, 36(3):308-314. YUN M H,YI W Q,ZHUANG H Y. Empirical relationship among elastic modulus,porosity,clay content,effective pressure and temperature in dry core sample of sandstone. Oil Geophysical Prospecting,2001,36(3):308-314.
[23] 张金强,曲寿利,孙建国,等.一种碳酸盐岩储层中流体替换的实现方法.石油地球物理勘探,2010,45(3):406-409. ZHANG J Q,QU S L,SUN J G,et al. A fluid substitution realization method in carbonate reservoir. Oil Geophysical Prospecting,2010,45(3):406-409.
[24] LIN K,XIONG X J,YANG X,et al. Self-adapting extraction of matrix mineral bulk modulus and verification of fluid substitution. Applied Geophysics,2011,8(2):110-116.
[25] 胡晓丽,谭大龙.孔隙形状对AVO响应影响的研究.岩性油气藏,2010,22(3):114-117. HU X L,TAN D L. Influence of pore shape on AVO response. Lithologic Reservoirs,2010,22(3):114-117.
[26] 刘航宇,田中元,徐振永.基于分形特征的碳酸盐岩储层孔隙结构定量评价.岩性油气藏,2017,29(5):97-105. LIU H Y,TIAN Z Y,XU Z Y. Quantitative evaluation of carbonate reservoir pore structure based on fractal characteristics. Lithologic Reservoirs,2017,29(5):97-105.
[27] 葛小波,李吉君,卢双舫,等. 基于分形理论的致密砂岩储层微观孔隙结构表征——以冀中坳陷致密砂岩储层为例.岩性油气藏,2017,29(5):106-112. GE X B,LI J J,LU S F,et al. Fractal characteristics of tight sandstone reservoir using mercury intrusion capillary pressure:a case of tight sandstone reservoir in Jizhong Depression. Lithologic Reservoirs,2017,29(5):106-112.
[28] 闫建平,梁强,耿斌,等.低渗透砂岩微孔特征与孔隙结构类型的关系——以东营凹陷南斜坡沙四段为例.岩性油气藏, 2017,29(3):18-26. YAN J P,LIANG Q,GENG B,et al. Relationship between micropore characteristics and pore structure of Low permeability sandstone:a case of the fourth member of Shahejie Formation in southern slope of Dongying Sag. Lithologic Reservoirs,2017, 29(3):18-26.
[29] BERRYMAN J G. Mixture theories for rock properties. Washington,D C:American Geophysical Union,1995:205-228.
[30] CHENG C H,TOKSöZ M N. Inversion of seismic velocities for the pore aspect ratio spectrum of a rock. Journal of Geophysical Research,1979,84(B13):7533-7543.
[31] KRIEF M,GARAT J,STELLINGWERFF J,et al. A petrophysical interpretation using the velocities of P and S waves(fullwaveform sonic). The Log Analyst,1990,31(6):355-369.
[32] 林凯,贺振华,熊晓军,等.基于基质矿物模量自适应提取横波速度反演方法.石油地球物理勘探,2013,48(2):262-267. LIN K,HE Z H,XIONG X J,et al. Inversion of shear wave velocity based on self-adapting extraction of matrix modulus. Oil Geophysical Prospecting,2013,48(2):262-267.
[33] SALEH A A,CASTAGNA J P. Revisiting the Wyllie time average equation in the case of near spherical pores. Geophysics,2004, 69(1):45-55.
[34] ZHANG J J,BENTLEY L R. Pore geometry and elastic moduli in sandstones. The Crewes Research Report,2003,15(1):1-20.
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