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基于Kelvin-Voigt黏弹性骨架的含非饱和流体孔隙介质BISQ模型(英文)
引用本文:聂建新,巴晶,杨顶辉,晏信飞,袁振宇,乔海鹏.基于Kelvin-Voigt黏弹性骨架的含非饱和流体孔隙介质BISQ模型(英文)[J].应用地球物理,2012,9(2):213-222.
作者姓名:聂建新  巴晶  杨顶辉  晏信飞  袁振宇  乔海鹏
作者单位:北京理工大学爆炸科学与技术国家重点实验室;中国石油勘探开发研究院石油物探技术研究所;清华大学数学科学系;中国石油大学(华东)地球科学学院
基金项目:supported by the National Natural Science Foundation of China (No. 11002025, 40114066);the National Basic Research Program of China (973 Program) (No.2007CB209505);the RIPED Youth Innovation Foundation (No. 2010-A-26-01)
摘    要:本文综合考虑了在波传播过程中孔隙介质的三种重要力学机制——"Biot流动机制一squirt流动机制-固体骨架黏弹性机制",借鉴等效介质思想,将含水饱和度引入波动力学控制方程,并考虑了不同波频率下孔隙流体分布模式对其等效体积模量的影响,给出了能处理含粘滞性非饱和流体孔隙介质中波传播问题的黏弹性Biot/squirt(BISQ)模型。推导了时间-空间域的波动力学方程组,由一组平面谐波解假设,给出频率-波数域黏弹性BISQ模型的相速度和衰减系数表达式。基于数值算例分析了含水饱和度、渗透率与频率对纵波速度和衰减的影响,并结合致密砂岩和碳酸盐岩的实测数据,对非饱和情况下的储层纵波速度进行了外推,碳酸盐岩储层中纵波速度对含气饱和度的敏感性明显低于砂岩储层。

关 键 词:BISQ模型  黏弹性  含水饱和度  碳酸盐岩  致密砂岩

BISQ model based on a Kelvin-Voigt viscoelastic frame in a partially saturated porous medium
Jian-Xin Nie,Jing Ba,Ding-Hui Yang,Xin-Fei Yan,Zhen-Yu Yuan,Hai-Peng Qiao.BISQ model based on a Kelvin-Voigt viscoelastic frame in a partially saturated porous medium[J].Applied Geophysics,2012,9(2):213-222.
Authors:Jian-Xin Nie  Jing Ba  Ding-Hui Yang  Xin-Fei Yan  Zhen-Yu Yuan  Hai-Peng Qiao
Institution:1. State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing, 100081, China
2. Research Institute of Petroleum Exploration & Development, PetroChina, Beijing, 100084, China
3. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China
4. School of Geosciences, China University of Petroleum, Qingdao, 266555, China
Abstract:Taking into account three important porous media mechanisms during wave propagation (the Biot-flow, squirt-flow, and solid-skeleton viscoelastic mechanisms), we introduce water saturation into the dynamic governing equations of wave propagation by analyzing the effective medium theory and then providing a viscoelastic Biot/squirt (BISQ) model which can analyze the wave propagation problems in a partially viscous pore fluid saturated porous media. In this model, the effects of pore fluid distribution patterns on the effective bulk modulus at different frequencies are considered. Then we derive the wave dynamic equations in the time-space domain. The phase velocity and the attenuation coefficient equations of the viscoelatic BISQ model in the frequency-wavenumber domain are deduced through a set of plane harmonic solution assumptions. Finally, by means of numerical simulations, we investigate the effects of water saturation, permeability, and frequency on compressional wave velocity and attenuation. Based on tight sandstone and carbonate experimental observed data, the compressional wave velocities of partially saturated reservoir rocks are calculated. The compressional wave velocity in carbonate reservoirs is more sensitive to gas saturation than in sandstone reservoirs.
Keywords:BISQ model  phase velocity  attenuation coefficient  viscoelasticity  water saturation  carbonate  tight sandstone
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