杜天玮^1,2,,
吴国忱^1,2,,,
吴建鲁^1,2
1. 中国石油大学(华东)地球科学与技术学院, 青岛 266580
2. 海洋国家实验室海洋矿产资源评价与探测技术功能实验室, 青岛 266071

基金项目: 国家科技重大专项（2016ZX05024-001-008）资助


详细信息

作者简介: 杜天玮, 女, 1992年生, 硕士研究生, 从事岩石物理及正演方面研究工作.E-mail:1984055727@qq.com

通讯作者: 吴国忱, 男, 1965年生, 教授, 博士生导师, 从事地球物理全波形反演方面的教学和科研工作.E-mail:guochenwu@upc.edu.cn

中图分类号: P631

收稿日期:2017-09-06
修回日期:2017-10-10
上线日期:2018-11-05

Dispersion and attenuation of P wave in a periodic layered-model with Patchy saturation for three-phase

DU TianWei^1,2,,
WU GuoChen^1,2,,,
WU JianLu^1,2
1. School of Geosciences, China University of Petroleum(East China), Qingdao 266580, China
2. Laboratory for Marine Mineral Resources, Qingdao National Laboratory for Marine Science and Technology, Qingdao 266071, China


More Information

Corresponding author: WU GuoChen,E-mail:guochenwu@upc.edu.cn

MSC: P631

--> Received Date: 06 September 2017
Revised Date: 10 October 2017
Available Online: 05 November 2018


摘要
摘要:本文基于White周期层状模型，将传统两相流体（气，水）模型扩展至三相流体（油、气、水）周期层状模型，在Biot理论框架下将其延伸至高频，研究介观尺度地震频带下纵波在三相Patchy模型中的传播规律.应用孔隙介质弹性波波动方程解耦方法，结合等效边界条件，得到Biot1956年理论框架下的纵波速度频散与衰减的解析解.利用频率域有限差分方法，将Biot1941年、1956年理论方程中的微分算子离散化，正演得到纵波速度频散与衰减的数值解，结合由Biot-Gassmann-Hill公式和Biot-Gassmann-Wood公式计算得到的纵波速度上下限，证明了三相流体模型解析解的正确性.随后，研究了三种流体排列顺序对于纵波速度频散和衰减的影响.从受力分析角度来看，油层抵消部分水流对气层的力，使其受力减小，反之水流促进油流入气层，气层受到叠加力，因此改变流体顺序后气层受力情况不同，造成纵波频散和衰减结果有所差异.最后研究了含气饱和度变化对于纵波速度频散和衰减影响.
关键词: WIFF/
介观尺度/
孔隙介质/
White模型/
Biot理论/
衰减

Abstract:Based on the White periodic layered-model, this work extended the traditional two-fluid (gas, water) model to a three-fluid (oil, gas, water) periodic layered-model, and further extended it to high frequency under the Biot theory framework, and studied P-wave's propagation law in this three-fluid model with Patchy saturation at the mesoscale of the seismic frequency band. Using the poroelastic equation uncoupled method and combining with equivalent boundary conditions, we derived the analytical solution of P-wave velocity dispersion and attenuation under the framework of the Biot1956 theory. Employing finite difference method in the frequency domain, we also derived the numerical solution of P-wave velocity dispersion and attenuation under the framework of the Biot1956 and Biot1941 theory. Combining the Biot-Gassmann-Hill and Biot-Gassmann-Wood equations, the upper and lower limits of calculated P-wave velocity were obtained, proving the correctness of analytical solution from the three-fluid model. Furthermore, the effect of three fluid's order on the P-wave velocity and attenuation was analyzed. From the force point of view, oil can offset part of force produced by water, but water can promote oil flowing into the gas layer, forming a superimposed force, so changing the fluids' order can lead to different forces to the gas layer, resulting in different P-wave dispersion and attenuation. Finally, the effect of gas saturation on the P-wave velocity dispersion and attenuation was studied.
Key words:WIFF/
Mesoscale scale/
Porous media/
White model/
Biot theory/
Attenuation



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