共查询到20条相似文献,搜索用时 46 毫秒
1.
The nonlinear effects of unsteady multi-scale shale gas percolation,such as desorption,slippage,diffusion,pressure-dependent viscosity,and compressibility,are investigated by numerical simulation.A new general mathematical model of the problem is built,in which the Gaussian distribution is used to describe the inhomogeneous intrinsic permeability.Based on the Boltzmann transformation,an efficient semi-analytical method is proposed.The problem is then converted into a nonlinear equation in an integral form for the pressure field,and a related explicit iteration scheme is constructed by numerical discretization.The validation examples show that the proposed method has good convergence,and the simulation results also agree well with the results obtained from both numerical and actual data of two vertical fractured test wells in the literature.Desorption,slippage,and diffusion have significant influence on shale gas flows.The accuracy of the usual technique that the product of viscosity and compressibility is approximated as its value at the average formation pressure is examined. 相似文献
2.
李笑萍 《应用数学和力学(英文版)》1993,14(12):1133-1141
In this paper,the new model of the real gas filtration problem has been presented multi-layered gas reservoir,when a gas well output and wellbore storage may be variable,and have obtained the exact solutions of pressure distribution for each reservoir bed under three kinds of typical out-boundary conditions.As a special case,according to the new model have also obtained the exact solutions of presssure distribution in homogeneous reservoir and is given important application in gas reservoir development. 相似文献
3.
基于REV尺度格子Boltzmann方法的页岩气流动数值模拟 总被引:1,自引:0,他引:1
结合页岩扫描电镜图像,提出页岩气藏物理模型,采用表征单元体积(representative elementaryvolume, REV) 尺度格子Boltzmann 方法,考虑滑脱效应,模拟页岩气在页岩气藏中的流动. 模拟结果表明,页岩气主要沿着天然裂缝窜进,但在有机质和无机质中也存在缓慢的流动,且有机质中的流速要略大于无机质中的流速. 通过改变地层压力,研究地层压力对页岩气渗流特性的影响. 研究结果表明,整个流场的速度和渗透率均随着地层压力的下降而增加. 相似文献
4.
A unified mathematical model is established to simulate the nonlinear unsteady percolation of shale gas with the consideration of the nonlinear multi-scale effects such as slippage, diffusion, and desorption. The continuous inhomogeneous models of equivalent porosity and permeability are proposed for the whole shale gas reservoir including the hydraulic fracture, the micro-fracture, and the matrix regions. The corresponding semi-analytical method is developed by transforming the nonlinear partial differential governing equation into the integral equation and the numerical discretization. The non-linear multi-scale effects of slippage and diffusion and the pressure dependent effect of desorption on the shale gas production are investigated. 相似文献
5.
填埋气体迁移气-热-力耦合动力学模型的研究 总被引:8,自引:1,他引:8
基于连续介质力学—势弹性力学原理,运用多场耦合理论建立了填理场中可压缩垃圾气体迁移耦合的动力学模型,并采用摄动法及积分变换法对该强非线性数学模型进行拟解析求解。通过算例对比分析,探讨了耦侵动力场中气压、温度和应力变化对可压缩气体迁移的影响,得出了垃圾气体迁移过程中的孔隙压力分布规律。结果表明,三场耦合作用与非耦合作用相对差别较大,耦合效应不能忽略。这为定量化研究垃圾气体在填埋场中的扩散状况以及污染气体的排放和收集、防止二次污染提供了可靠的理论依据。 相似文献
6.
为预先评估外加湍流工况下天然气的爆炸超压峰值,通过揭示外加湍流对天然气爆炸火焰形态、火焰前锋速度和爆炸超压的影响规律,建立了耦合外加湍流的天然气爆炸超压峰值预测模型。结果表明:外加湍流可使火焰加速传播,且随着外加湍流强度的增加,火焰前锋速度逐渐增加;随着外加湍流强度的增加,爆炸超压峰值和最大升压速率逐渐增加;随着压力监测点和点火位置间距的增加,爆炸超压峰值和最大升压速率整体呈减小的变化趋势。外加湍流工况下天然气的爆炸超压预测必须考虑火焰的加速特征,实验测得爆炸超压峰值介于层流火焰模型和湍流火焰模型计算的爆炸超压峰值之间。
相似文献7.
球形容器内气体的泄爆过程 总被引:2,自引:0,他引:2
为了得到球形容器内可燃气体的泄爆强度产生机理以及燃烧火焰与压力传播的基本规律,从流体力学和化学反应动力学守恒出发,采用-湍流模型和EBU-Arrhenius燃烧模型,利用SIMPLE算法对带泄爆导管的球形容器二维空间内甲烷-空气预混气体的泄爆过程内外场进行了数值计算,获得了气体燃烧过程中火焰和压力传播特性以及气体流动特性,能够比较清晰地反映泄爆的整个过程。研究表明,燃烧火焰在泄爆过程中发生湍流,传播得到了极大的加速,泄爆导管对于容器内的高压气体泄放有很大的约束作用。 相似文献
8.
IntroductionThetransportofcontaminantsinunsaturatedzonehascausedmuchattention .Inearly1960s,contaminationproblemsofsoilandgroundwaterhadbeenstudiedathomeandabroad[1].Andinrecentyears ,thetransformationandtransportationofcontaminantshavebeendeeplystudiedinthefieldsofhydrogeology ,petroleumengineering ,environmentalengineeringandsoon[2 ,3].Somecontaminanttransportmodelshavebeenpresentedsofar.Forexample ,Paker[4 ]etal.presentedaconstitutivemodelgoverningparametersofwater,gasandcontaminantswhenth… 相似文献
9.
为了研究垃圾填埋场内部生物降解产生的气体(以甲烷为主) 和氧气等在非饱和覆盖层中的运移规律,建立了气体在成层非饱和覆盖层中的一维扩散模型. 该模型考虑了覆盖层含水量瞬态变化和气体扩散的耦合作用. 采用有限元多物理场耦合分析软件COMSOL Multiphysics 4.3进行求解. 其计算结果与前人实验结果能符合得很好. 研究结果表明,对典型垃圾填埋场中厚度为1m的非饱和黏土覆盖层,含水量变化对覆盖层中气体污染物的扩散运移有显著影响. 与含水量稳态变化情况相比,20 d到100 d的运移时间内同一覆盖层深度处耦合含水量作用下,气体相对浓度可以相差接近8倍. 含水量是气体在非饱和覆盖层中不稳定运移的重要影响因素. 相似文献
10.
基于两流体模型、酸性气体和钻井液状态方程,考虑酸性气体与钻井液相间虚拟质量力、粘性剪切力、相间动量交换及狭义相间阻力等条件,建立酸性气体与钻井液两相中压力波传播速度的数学模型,依据小扰动原理,对波速模型求解,得到关于波数K的波速方程。结果表明,在一定范围内,随空隙率、频率的增大,虚拟质量力对波速的影响显著增强;在高空隙率下,压强增大,虚拟质量力对波速的影响减弱;增大流体的密度或不可压缩性,均可使两相压力波速增大;延长气液交换时间或减小波动频率使相间有足够时间进行动量交换,两相压力波波速随之减小。 相似文献
11.
Relative permeability of gas gains great significance in exploring unconventional gas. This paper developed a universal relative permeability model of gas, which is applicable for unconventional gas reservoirs such as coal, tight sandstone and shale. The model consists of the absolute relative permeability of gas and the gas slippage permeability. In the proposed model, the effects of water saturation and mean pore pressure on gas slippage permeability are taken into account. Subsequently, the evaluation of the model with existing model is done and then the validation of the model is made with data of tight sandstones, coals and shales from published literatures. The modeling results illustrate that a strong power-law relationship between relative permeability of gas and water saturation and the contribution of gas slippage permeability to relative permeability is determined by water saturation and mean pore pressure simultaneously. Furthermore, a sensitivity analysis of the impact of the parameters in the model is conducted and their effects are discussed. 相似文献
12.
Dimitrios E. Panayotounakos Anastasia B. Sotiropoulou Nikos B. Sotiropoulos Manos Manios 《International Journal of Non》2007,42(1):157-163
Two kinds of second-order non-linear ordinary differential equations (ODEs) appearing in mathematical physics and non-linear mechanics are analyzed in this paper. The one concerns the Kidder equation in porous media and the second the gas pressure diffusion equation. Both these equations are strongly non-linear including quadratic first-order derivatives (damping terms). By a series of admissible functional transformations we reduce the prescribed equations to Abel's equations of the second kind of the normal form that they do not admit exact analytic solutions in terms of known (tabulated) functions. According to a mathematical methodology recently developed concerning the construction of exact analytic solutions of the above class of Abel's equations, we succeed in performing the exact analytic solutions of both Kidder's and gas pressure diffusion equations. The boundary and initial data being used in the above constructions are in accordance with each specific problem under considerations. 相似文献
13.
14.
采用非平衡分子动力学模拟方法,研究了纳米尺度下十六烷润滑薄膜的分层现象和速度滑移现象,重点考察了剪切速度对速度滑移现象的影响规律,并对其中的微观机理作出了解释.研究结果表明:在铁壁面的限制情况下润滑薄膜出现了分层现象,当润滑薄膜厚度超过50?时,其中间区域呈现出体相均质流体的特征.润滑薄膜层间滑移和界面滑移的临界剪切速度分别为5.5和7.5?/ps,随着剪切速度增加,界面滑移程度增强,而层间滑移程度减弱.润滑薄膜第1和2层十六烷分子层间桥接分子数目决定层间滑移程度,随着剪切速度增加,桥接分子数目也相应增多,层间滑移程度随之减弱. 相似文献
15.
Feng CaoTieyu Gao Songshan LiZiwen Xing Pengcheng Shu 《Experimental Thermal and Fluid Science》2011,35(1):219-225
This paper presents the results of an experimental investigation of pressure distribution inside working chamber of a twin screw compressor for multiphase duties. A mathematical model for describing the pressure distribution inside working chamber is proposed. By means of a small pressure transducer embedded into the groove at the root of the rotor, the pressure distributions of a multiphase compressor under various running conditions have been recorded successfully to verify the model. It is found that the pressure curve during the discharge process has a higher level under the conditions of the lower gas void fraction, higher discharge pressure, higher rotational speed and higher inlet pressure. The pressure distribution calculated by model in this paper shows good agreement with the data recorded by a small pressure sensor in a prototype multiphase compressor at the high gas void fractions under different operating conditions. 相似文献
16.
Tao Zhang Xiangfang Li Jing Li Dong Feng Keliu Wu Juntai Shi Zheng Sun Song Han 《Transport in Porous Media》2018,122(2):305-331
A reliable gas–water relative permeability model in shale is extremely important for the accurate numerical simulation of gas–water two-phase flow (e.g., fracturing fluid flowback) in gas-shale reservoirs, which has important implication for the economic development of gas-shale reservoir. A gas–water relative permeability model in inorganic shale with nanoscale pores at laboratory condition and reservoir condition was proposed based on the fractal scaling theory and modified non-slip boundary of continuity equation in the nanotube. The model not only considers the gas slippage in the entire Knudsen regime, multilayer sticking (near-wall high-viscosity water) and the quantified thickness of water film, but also combines the real gas effect and stress dependence effect. The presented model has been validated by various experiments data of sandstone with microscale pores and bulk shale with nanoscale pores. The results show that: (1) The Knudsen diffusion and slippage effects enhance the gas relative permeability dramatically; however, it is not obviously affected at high pressure. (2) The multilayer sticking effect and water film should not be neglected: the multilayer sticking would reduce the water relative permeability as well as slightly decrease gas relative permeability, and the film flow has a negative impact on both of the gas and water relative permeability. (3) The increased fractal dimension for pore size distribution or tortuosity would increase gas relative permeability but decrease the water relative permeability for a given saturation; however, the effect on relative permeability is not that notable. (4) The real gas effect is beneficial for the gas relative permeability, and the influence is considerable when the pressure is high enough and when the nanopores of bulk shale are mostly with smaller size. For the stress dependence, not like the intrinsic permeability, none of the gas or water relative permeability is sensitive to the net pressure and it can be ignored completely. 相似文献
17.
We study the deformation of a crack between a soft elastomer and a rigid substrate with finite interfacial slippage. It is assumed that slippage occurs when the interfacial shear traction exceeds a threshold. This leads to a slip zone ahead of the crack tip where the shear traction is assumed to be equal to the constant threshold. We perform asymptotic analysis and determine closed-form solutions describing the near-tip crack opening displacement and the corresponding stress distributions. These solutions are consistent with numerical results based on finite element analysis. Our results reveal that slippage can significantly affect the deformation and stress fields near the tip of the interface crack. Specifically, depending on the direction of slippage, the crack opening profile may appear more blunted or sharpened than the parabola arising from for the case of zero interfacial shear traction or free slippage. The detailed crack opening profile is determined by the constant shear traction in the slip zone. More importantly, we find that the normal stress perpendicular to the interface can increase or decrease when slippage occurs, depending on the direction of slippage and the shear traction in the slip zone. 相似文献
18.
We study the boundary-layer approximation of the classical mathematical model that describes the discharge of a laminar hot
gas in a stagnant colder atmosphere of the same gas. We prove the existence and uniqueness of solutions to a nondegenerate
problem (without zones of stagnation of gas temperature or velocity). The asymptotic behavior of these solutions is also studied
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 4, pp. 192–205, July–August, 2008. 相似文献
19.
The gas quenching is a modern, effective processing technology. On the basis of nonlinear surface heat-transfer coefficient obtained by Cheng during the gas quenching, the coupled problem between temperature and phase transformation during gas quenching in high pressure was simulated by means of finite element method. In the numerical calculation, the thermal physical properties were treated as the functions of temperature and the volume fraction of phase constituents. In order to avoid effectual "oscillation" of the numerical solutions under smaller time step, the Norsette rational approximate method was used. 相似文献
20.
Shale can act as an unconventional gas reservoir with low permeability and complex seepage characteristics. Study of the apparent permeability and percolation behavior of shale gas is important in understanding the permeability of shale reservoirs, to evaluate formation damage, to develop gas reservoirs, and to design wells. This study simulated methane percolation at 298.15 K under inlet pressures ranging from 0.2 to 4 MPa and a constant outlet pressure of 0.1 MPa to investigate shale gas percolation behavior and apparent permeability. Five representative shale cores from the Carboniferous Hurleg and Huitoutala formations in the eastern Qaidam Basin, China, were analyzed. Each experiment measured the volume flow rate of methane and the inlet pressure. Pseudopressure approach was used to analyze high-velocity flow in shale samples, and apparent permeability at different pressures was calculated using the traditional method. A nonlinear apparent permeability model that considers diffusion and slippage is established from theory and experimental data fitting, and the shale gas flow characteristics affected by slippage and diffusion are analyzed. The results indicate that the pseudopressure formulation that considers the effect of gas properties on high-velocity flow produces a more accurate linear representation of the experimental data. The apparent gas permeability of shale consists of contributions from Darcy permeability, slippage, and diffusion. The apparent permeability and gas flow behavior in the studied shales strongly depended on pressure. The diffusion contribution increased greatly as pressure decreased from 2 to 0.2 MPa, and the smaller the shale permeability, the greater the relative contribution of diffusion flow. At pressures greater than 2 MPa, slip flow contributes \(\sim \)20% of the total flux, Darcy flow contributes up to 70%, and diffusion makes only a minor contribution. This study provides useful information for future studies of the mechanism of shale gas percolation and the exploration and development of Qaidam Basin shale gas specifically. 相似文献