P-wave velocity prediction in porous medium with liquid-pocket patchy saturation
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- 作者：Jiawei Liu ; Weitao Sun ; Jing Ba
- 关键词：White’s model ; porous medium ; P ; wave dispersion ; liquid pocket
- 刊名：Applied Mathematics and Mechanics
- 出版年：2015
- 出版时间：November 2015
- 年：2015
- 卷：36
- 期：11
- 页码：1427-1440
- 全文大小：512 KB
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Weitao Sun (1)
Jing Ba (2)
1. Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing, 100084, China
2. Department of Computational Geophysics, Xi’an Jiaotong University, Xi’an, 710049, China - 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Applications of Mathematics
Mechanics
Mathematical Modeling and IndustrialMathematics
Chinese Library of Science - 出版者：Shanghai University, in co-publication with Springer
- ISSN：1573-2754
文摘
It becomes increasingly clear that non-uniform distribution of immiscible fluids in porous rock is particularly relevant to seismic wave dispersion. White proposed a patchy saturation model in 1975, in which spherical gas pockets were located at the center of a liquid saturated cube. For an extremely light and compressible inner gas, the physical properties can be approximated by a vacuum with White’s model. The model successfully analyzes the dispersion phenomena of a P-wave velocity in gas-watersaturated rocks. In the case of liquid pocket saturation, e.g., an oil-pocket surrounded by a water saturated host matrix, the light fluid-pocket assumption is doubtful, and few works have been reported in White’s framework. In this work, Poisson’s ratio, the bulk modulus, and the effective density of a dual-liquid saturated medium are formulated for the heterogeneous porous rocks containing liquid-pockets. The analysis of the difference between the newly derived bulk modulus and that of White’s model shows that the effects of liquid-pocket saturation do not disappear unless the porosity approaches zero. The inner pocket fluid can no longer be ignored. The improvements of the P-wave velocity predictions are illustrated with two examples taken from experiments, i.e., the P-wave velocity in the sandstone saturated by oil and brine and the P-wave velocity for heavy oils and stones at different temperatures.