共查询到16条相似文献,搜索用时 140 毫秒
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考虑各向异性油藏渗透率张量的表征,利用Green函数和拉普拉斯变换建立裂缝流动的一维单元,裂缝的流量分布采用节点线性插值,裂缝内的流动处理为线性积分,耦合地层与人工裂缝的流动,建立有限导流裂缝井底压力的求解方法.结果表明:多裂缝压裂水平井存在压裂裂缝线性流、地层线性流、系统径向流3种流动形态,压裂裂缝条数越多,相同的生产时间,无因次井底压降越小;裂缝条数对流动影响明显.随着裂缝条数的增加,压降变化减小;裂缝长度和导流能力有相似的变化.人工裂缝与井筒角度越大,产能越大,当裂缝垂直于井筒时,产量最大;地层最大渗透率方向垂直于人工裂缝时产量最大,平行裂缝时产量最小.当人工裂缝垂直于井筒,并同时垂直于地层最大渗透率方向时,达到最大产量值. 相似文献
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针对岩石脆性系数高且发育天然裂缝的储层,提出表征水平井体积压裂形成裂缝网络的三种基本模式,并将渗流过程划分为油藏流动和缝网内部流动.在此基础上,利用势叠加原理导出油藏流动控制方程,利用有限差分方法建立缝网内部有限导流等式;其次,采用星三角变换法处理人工缝与天然缝的交汇流动;最后,耦合两部分流动矩阵方程得到水平井体积压裂缝网渗流数学模型.该模型表明:当水平井改造段长度一定时,压裂段数与段内分簇数是决定产能的最主要因素,其次是人工裂缝半长和人工缝导流能力,而天然裂缝密度和导流能力对产量影响较小.实例应用表明,实际产油量与模型计算值一致,误差较小. 相似文献
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高速通道压裂是近年在非常规致密油气资源开采中出现的新工艺, 已在世界范围内推广实施, 并取得了良好的增产效果. 该技术可使支撑剂在人工压裂缝中形成簇团式分布, 从而形成油气高速流动通道, 提高裂缝的导流能力. 但目前对于高速通道压裂裂缝高导流能力的形成机理及其影响因素尚不清楚. 对此, 本文从流体力学理论出发, 首先将高速通道压裂裂缝内形成的支撑剂簇团视为渗流区域, 簇团间的大通道视为自由流动区域; 然后基于Darcy-Brinkman方程建立了裂缝内的流动数学模型, 采用均匀化理论对该流动数学模型进行了尺度升级, 推导得到了高速通道压裂裂缝的渗透率, 揭示了其高导流能力的形成机理; 并以此为基础, 分析了不同支撑剂簇团形状、大小以及分布方式等因素对其导流能力的影响, 可为高速通道压裂工艺参数设计与优化提供基础. 相似文献
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针对压裂过程中出现的不对称垂直裂缝问题,基于渗流力学原理,根据点源函数和Green函数基本理论建立三种不同外边界条件下不对称有限导流垂直裂缝试井解释数学模型.采用Laplace积分变换和Stehfest数值反演获得典型特征曲线.研究表明:典型特征曲线分为四个流动阶段,井储阶段、压力导数曲线斜率为1/4的双线性流阶段、压力导数曲线斜率为1/2的线性流阶段及0.5水平线的径向流阶段;不对称因子主要影响双线性流阶段结束的时间,不对称因子越大,双线性流阶段结束的越早;裂缝的导流能力越大,不对称因子对特征曲线的影响越不明显;不对称因子越大,裂缝流量分布越不对称.为不对称有限导流垂直裂缝的试井分析提供理论依据. 相似文献
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低渗透油藏压裂水平井井筒与油藏耦合的非稳态模型 总被引:5,自引:1,他引:4
推导低渗透各向异性油藏压裂水平井井筒与盒式油藏耦合的非稳态模型,并给出求解方法.模型考虑摩阻和加速度的影响,并可以使用不同类型的约束条件.实例计算表明,压裂水平井的流动可分为非稳态阶段和拟稳态阶段.在非稳态阶段,各条裂缝的产量相差不大,总产量随着裂缝条数的增加呈线性增加;在拟稳态阶段,两端裂缝产量高于中部裂缝的产量.受摩阻和加速度压降的影响,空间上位置对称的裂缝在流量上呈现不对称性.井筒内压力损失的存在将使水平井的产量降低,并使井筒内的压力分布不均匀.在最小井底流压的基础上固定流量时,裂缝条数越多,稳产期也越长. 相似文献
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本文基于井筒与地层间能量平衡原理, 将井筒钻井液划分成不同径向单元网格, 建立了考虑径向温度梯度条件下钻井液层间温度模型; 同时引入钻井液轴向导热项, 建立了钻井液轴向导热温度模型, 将数学模型应用隐式有限差分法离散与求解. 计算结果表明: 钻井液径向温度梯度对井筒径向与轴向温度产生的误差分别为0.15 ℃和0.2 ℃左右; 而钻井液轴向导热对井筒温度分布几乎不产生影响. 因此, 通过建立的数学模型进行系统分析表明, 在建立井筒-地层耦合瞬态传热模型时可忽略两者对井筒温度分布的影响. 基于数学建模方法验证了以前学者模型假设条件的正确性, 为油气井与地热井井下温度分布规律深入研究奠定了可靠的理论基础.
关键词:
径向温度梯度
轴向导热
井筒温度
瞬态传热模型 相似文献
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A new finite volume-based numerical algorithm for predicting incompressible and compressible multi-phase flow phenomena is presented. The technique is equally applicable in the subsonic, transonic, and supersonic regimes. The method is formulated on a non-orthogonal coordinate system in collocated primitive variables. Pressure is selected as a dependent variable in preference to density because changes in pressure are significant at all speeds as opposed to variations in density, which become very small at low Mach numbers. The pressure equation is derived from overall mass conservation. The performance of the new method is assessed by solving the following two-dimensional two-phase flow problems: (i) incompressible turbulent bubbly flow in a pipe, (ii) incompressible turbulent air–particle flow in a pipe, (iii) compressible dilute gas–solid flow over a flat plate, and (iv) compressible dusty flow in a converging diverging nozzle. Predictions are shown to be in excellent agreement with published numerical and/or experimental data. 相似文献
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A phase-field model coupling with velocity field is employed to study the effect of boundary heat flux on the microstructure formation of a Ni-40.8%Cu alloy with liquid flow during the solidification, and an anti-trapping current is introduced to suppress the solute trapping due to the larger interface width used in simulations than a real solidifying material. The effect of the flow field coupling with boundary heat extractions on the microstructure formation as well as distributions of concentration and temperature fields are analyzed and discussed. The forced liquid flow can significantly affect the heat and solute diffusions, thus influencing morphology formation, concentration and temperature distributions during the solidification. The solute segregation and concentration diffusion are changed by boundary heat extractions, and the morphology, concentration and temperature distributions are significantly influenced by increasing the heat extraction, which relatively makes the effect of liquid flow constrained. By increasing the initial velocity of liquid flow, the lopsided rate of the primary dendrite arm is enlarged and the growth manner of dendrite arms gets changed, and the transition of the microstructure from dendrite to cellular moves to the large heat extraction direction. Therefore, there exists the competition between the heat flux, temperature gradient and forced liquid flow that finally determines the microstructure formation during directional solidification. 相似文献
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根据气液段塞流气弹区相界面结构特征将气弹分为气弹头、气弹体、水跃面和气弹尾四部分,并根据各自的流动和界面结构特征分别进行模化,建立了描述不同倾角的圆管内气液段塞流气弹区相界面结构的一维理论模型.该模型的计算结果表明气液混合Froude数、管道倾角和气弹长度显著影响气液段塞流气弹区相界面结构,计算与实验结果吻合良好. 相似文献
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Strong self-sustained acoustic oscillations may occur in a gas pipe network under certain gas flow velocities within the network. The pipe network under consideration consists of a main pipe, with a variable mean airflow, with two closed coaxial side branches of variable but equal length joined to the main pipe. Coupling between resonant acoustic standing waves and instabilities of the shear layers separating the flow in the main pipe from the stagnant gas in the closed side branches leads to strong acoustic oscillations at a frequency corresponding to the half-wavelength acoustic mode defined by the total side-branch length. An acoustic damper consisting of a variable acoustic resistance and compliance is used to dissipate power from the resonating mode. The response of the aeroacoustically driven resonator to variable damping will be examined for different fluid flow regimes as well as side-branch geometries. 相似文献