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 ...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.展开更多
To simultaneously take into account the Biot-flow mechanism, the squirt-flow mechanism, and the frame-viscoelasticity mechanism, a generalized viscoelastic BISQ （Biot/squirt） model is developed for wave propagation ...To simultaneously take into account the Biot-flow mechanism, the squirt-flow mechanism, and the frame-viscoelasticity mechanism, a generalized viscoelastic BISQ （Biot/squirt） model is developed for wave propagation in clay-bearing sandstones based on Dvorkin＇s elastic BISQ model. The present model is extended to a wide range of permeabilities （k 〉 0.05 mD） by introducing a dimensionless correction factor for viscoelastic parameters, defined as a function of the permeability and the clay content. We describe the frame＇s stress-strain relationship of the clay-bearing sandstones by the differential constitutive equations of generalized viscoelasticity and then derive the viscoelastic-wave dynamic equations. With the assumption of a plane-wave solution, we finally yield the phase velocities and the attenuation coefficients by solving the dynamic wave equations in the frequency and wave number domain. The comparison of numerical results and experimental data shows that the generalized viscoelastic BISQ model is applicable for modeling the wave propagation in most of the sandstones mainly bearing kaolinite clay.展开更多
Biot theory research has been extended to the multi-scale heterogeneity in actual rocks. Focused on laboratory frequency bandwidth studies, we discuss the relationships between double-porosity and BISQ wave equations,...Biot theory research has been extended to the multi-scale heterogeneity in actual rocks. Focused on laboratory frequency bandwidth studies, we discuss the relationships between double-porosity and BISQ wave equations, analytically derive the degeneration method for double-porosity＇s return to BISQ, and give three necessary conditions which the degeneration must satisfy. By introducing dynamic permeability and tortuosity theory, a full set of dynamic double-porosity wave equations are derived. A narrow band approximation is made to simplify the numerical simulation for dynamic double-porosity wavefields. Finally, the pseudo-spectral method is used for wave simulation within the laboratory frequency band （50 kHz）. Numerical results have proved the feasibility for dynamic double-porosity＇s description of squirt flow and the validity of the quasi-static approximation method.展开更多
Al/KClO_4点火器的输出性能是火工分离装置总体设计的关键参数。为了更准确地描述Al/KClO_4点火器的输出性能,通过修正经典内弹道方程组假设,引入火药力修正系数,建立了改进Al/KClO_4内弹道分析模型。编写Matlab数值求解算法,计算了密...Al/KClO_4点火器的输出性能是火工分离装置总体设计的关键参数。为了更准确地描述Al/KClO_4点火器的输出性能,通过修正经典内弹道方程组假设,引入火药力修正系数,建立了改进Al/KClO_4内弹道分析模型。编写Matlab数值求解算法,计算了密闭爆发器内Al/KClO_4点火器压力峰值、压力上升时间和单位面积冲量等参数,结合实验分析了这些参数随药量和空腔容积的变化规律,计算结果与实验结果吻合较好。研究表明,Al/KClO_4点火器产生的压力峰值随药量的增加而增大,随空腔容积的增加而减小,在小容腔(<5 m L)范围内,空腔容积增加1倍,压力峰值下降约40%.展开更多
基金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)
文摘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.
基金supported by the National Science Fund for Distinguished Young Scholars of China (Grant No. 40725012)the National Hi-tech Research and Development Program of China(863 Program) (Grant No. 2006AA06Z240)the National Basic Research Program of China (973 program)(Grant No. 2007CB209505).
文摘To simultaneously take into account the Biot-flow mechanism, the squirt-flow mechanism, and the frame-viscoelasticity mechanism, a generalized viscoelastic BISQ （Biot/squirt） model is developed for wave propagation in clay-bearing sandstones based on Dvorkin＇s elastic BISQ model. The present model is extended to a wide range of permeabilities （k 〉 0.05 mD） by introducing a dimensionless correction factor for viscoelastic parameters, defined as a function of the permeability and the clay content. We describe the frame＇s stress-strain relationship of the clay-bearing sandstones by the differential constitutive equations of generalized viscoelasticity and then derive the viscoelastic-wave dynamic equations. With the assumption of a plane-wave solution, we finally yield the phase velocities and the attenuation coefficients by solving the dynamic wave equations in the frequency and wave number domain. The comparison of numerical results and experimental data shows that the generalized viscoelastic BISQ model is applicable for modeling the wave propagation in most of the sandstones mainly bearing kaolinite clay.
基金supported by the National Basic Research Program of China (973 Program, 2007CB209505)the International Cooperative Project of the Ministry of Science and Technology of China (2006DFB62030)
文摘Biot theory research has been extended to the multi-scale heterogeneity in actual rocks. Focused on laboratory frequency bandwidth studies, we discuss the relationships between double-porosity and BISQ wave equations, analytically derive the degeneration method for double-porosity＇s return to BISQ, and give three necessary conditions which the degeneration must satisfy. By introducing dynamic permeability and tortuosity theory, a full set of dynamic double-porosity wave equations are derived. A narrow band approximation is made to simplify the numerical simulation for dynamic double-porosity wavefields. Finally, the pseudo-spectral method is used for wave simulation within the laboratory frequency band （50 kHz）. Numerical results have proved the feasibility for dynamic double-porosity＇s description of squirt flow and the validity of the quasi-static approximation method.
文摘Al/KClO_4点火器的输出性能是火工分离装置总体设计的关键参数。为了更准确地描述Al/KClO_4点火器的输出性能,通过修正经典内弹道方程组假设,引入火药力修正系数,建立了改进Al/KClO_4内弹道分析模型。编写Matlab数值求解算法,计算了密闭爆发器内Al/KClO_4点火器压力峰值、压力上升时间和单位面积冲量等参数,结合实验分析了这些参数随药量和空腔容积的变化规律,计算结果与实验结果吻合较好。研究表明,Al/KClO_4点火器产生的压力峰值随药量的增加而增大,随空腔容积的增加而减小,在小容腔(<5 m L)范围内,空腔容积增加1倍,压力峰值下降约40%.
