Stochastic Analysis of Reactive Solute Transport in Heterogeneous,Fractured Porous Media: A Dual-Permeability Approach

A nonlocal, first-order, Eulerian stochastic theory is developed for reactive chemical transport in a heterogeneous, fractured porous medium. A dual-permeability model is adopted to describe the flow and transport in the medium, where the solute convection and dispersion in the matrix are considered. The chemical is under linear nonequilibrium sorption and first-order degradation. The hydraulic conductivities, sorption coefficients, degradation rates in both fracture and matrix regions, and interregional mass transfer coefficient are all assumed to be random variables. The resultant theory for mean concentrations in both regions is nonlocal in space and time. Under spatial Fourier and temporal Laplace transforms, the mean concentrations are explicitly expressed. The transformed results are then numerically inverted to the real space via Fast Fourier Transform method. The theory developed in this study generalizes the stochastic studies for a reactive chemical transport in a one-domain flow field (Hu et al., 1997a) and in a mobile/immobile flow field (Huang and Hu, 2001). In comparison with one-domain transport, the dual-permeability model predicts a larger second moment in the longitudinal direction, but smaller one in the transverse direction. In addition, various simplification assumptions have been made based on the general solution. The validity of these assumptions has been tested via the spatial moments of the mean concentration in both fracture and matrix regions.     

Near infrared and Raman spectroscopy as Process Analytical Technology tools for the manufacturing of silicone-based drug reservoirs

Using near infrared (NIR) and Raman spectroscopy as PAT tools, 3 critical quality attributes of a silicone-based drug reservoir were studied. First, the Active Pharmaceutical Ingredient (API) homogeneity in the reservoir was evaluated using Raman spectroscopy (mapping): the API distribution within the industrial drug reservoirs was found to be homogeneous while API aggregates were detected in laboratory scale samples manufactured with a non optimal mixing process. Second, the crosslinking process of the reservoirs was monitored at different temperatures with NIR spectroscopy. Conformity tests and Principal Component Analysis (PCA) were performed on the collected data to find out the relation between the temperature and the time necessary to reach the crosslinking endpoints. An agreement was found between the conformity test results and the PCA results. Compared to the conformity test method, PCA had the advantage to discriminate the heating effect from the crosslinking effect occurring together during the monitored process. Therefore the 2 approaches were found to be complementary. Third, based on the HPLC reference method, a NIR model able to quantify the API in the drug reservoir was developed and thoroughly validated. Partial Least Squares (PLS) regression on the calibration set was performed to build prediction models of which the ability to quantify accurately was tested with the external validation set. The 1.2% Root Mean Squared Error of Prediction (RMSEP) of the NIR model indicated the global accuracy of the model. The accuracy profile based on tolerance intervals was used to generate a complete validation report. The 95% tolerance interval calculated on the validation results indicated that each future result will have a relative error below ±5% with a probability of at least 95%. In conclusion, 3 critical quality attributes of silicone-based drug reservoirs were quickly and efficiently evaluated by NIR and Raman spectroscopy.     

Modelling and optimization of parallel reservoirs having nonlinear storage curves under critical water conditions for long-term regulation

This paper deals with the problem of parallel reservoirs having nonlinear storage-elevation curves (quadratic functions) for long-term regulation under critical water conditions using the minimum norm formulation. To overcome these nonlinearities, we introduce a set of pseudo-state variables. A set of optimizing equations is obtained. The proposed method is efficient in computing time and in calculating the expected benefits of generation from the system during the critical period. Numerical results are reported for a real system in operation consisting of two rivers; each river has two reservoirs in series.This work was supported by the National Research Council of Canada, Grant No. A4146. The authors would like to acknowledge data obtained from B. C. Hydro.     

低渗透非均质油藏油水两相渗流敏感系数理论模型

本文研究了低渗透油藏低速非达西油水两相渗流的反问题，建立了基于动态信息的油藏敏感系数计算模型，给出了井底压力和水油比关于渗透率和孔隙度的敏感系数的有效算法，为油藏数值模自动拟合和油藏精细描述算法提供了理论基础。     

稠油储层核磁共振孔隙度校正方法

受原油粘度的影响,利用核磁共振（NMR）测井获取的稠油储层的测井NMR孔隙度远低于地层的真实孔隙度,给稠油储层评价和NMR测井技术的应用带来极大挑战.为提高稠油储层孔隙度计算精度,必须对测井NMR孔隙度进行稠油校正.本研究选取我国南海东部盆地某油田韩江组10块代表性岩心样品,分别开展了原始状态、饱含稠油、残余油和饱含水状态的NMR实验.研究了孔隙含油相对体积对岩心NMR孔隙度的影响,并建立了基于地层深测向电阻率分类的岩心NMR孔隙度校正模型.将基于实验结果建立的岩心NMR孔隙度校正模型推广到实际地层,对目标区域A14井稠油储层实测测井NMR孔隙度进行处理的结果表明：本文提出的方法能够有效地校正孔隙含稠油对实测测井NMR孔隙度的影响,得到地层的真实孔隙度;校正前、后的稠油储层测井NMR孔隙度与常规气驱法测量的岩心孔隙度之间的相对误差由11.19%降低到4.84%.     

Study on frequency optimization and mechanism of ultrasonic waves assisting water flooding in low-permeability reservoirs

Water flooding is one of widely used technique to improve oil recovery from conventional reservoirs, but its performance in low-permeability reservoirs is barely satisfactory. Besides adding chemical agents, ultrasonic wave is an effective and environmental-friendly strategy to assist in water flooding for enhanced oil recovery (EOR) in unconventional reservoirs. The acoustic frequency plays a dominating role in the EOR performance of ultrasonic wave and is usually optimized through a series of time-consuming laboratory experiments. Hence, this study proposes an unsupervised learning method to group low-permeability cores in terms of permeability, porosity and wettability. This grouping algorithm succeeds to classify the 100 natural cores adopted in this study into five categories and the water flooding experiment certificates the accuracy and reliability of the clustering results. It is proved that ultrasonic waves can further improve the oil recovery yielded by water-flooding, especially in the oil-wet and weakly water-wet low-permeability cores. Furthermore, we investigated the EOR mechanism of ultrasonic waves in the low-permeability reservoir via scanning electron microscope observation, infrared characterization, interfacial tension and oil viscosity measurement. Although ultrasonic waves cannot ameliorate the components of light oil as dramatically as those of heavy oil, such compound changes still contribute to the oil viscosity and oil-water interfacial tension reductions. More importantly, ultrasonic waves may modify the micromorphology of low-permeability cores and improve the pore connectivity.     

低渗岩心驱替过程中的压力分布特征研究

考虑低渗岩心的应力敏感性,通过实验和数值计算,研究了一维水驱油过程中,压力的分布及变化规律,并对其影响因素进行了分析. 结果表明：压力分布由于受到应力敏感性的影响而显示出明显的非线性特征,在前缘面处存在一个明显的分界点;应力敏感性程度、黏度比对压力分布的影响较大.     

页岩气藏压裂缝网扩展数值模拟

为探究页岩气藏水力压裂复杂裂缝网络的形成机理,开展了缝网扩展的数值模拟研究.考虑应力阴影和天然裂缝作用,建立了井筒和裂缝中流体流动模型,利用位移不连续方法求解应力与位移不连续量,然后构建了压力与裂缝宽度的迭代方程,并采用牛顿迭代法求解.通过比较数值解经典模型解析解,验证了模型和迭代解法的正确性.多簇裂缝同步扩展时裂缝间距越小,压裂液分配到各条裂缝越不均匀,靠近井筒跟部的裂缝的分流量越大,从而裂缝宽度越大;考虑天然裂缝作用时,逼近角越小或者应力各向异性越弱,水力裂缝越容易发生转向扩展,裂缝网络越复杂.      

塔北哈拉哈塘地区走滑断裂分段特征及其与油气成藏的关系

塔北哈拉哈塘地区奥陶系碳酸盐岩油气资源丰富,走滑断裂是该地区油气成藏最主要的控制因素.基于最新的高精度三维地震资料,借助最大波谷振幅属性提取的物探手段,结合走滑断裂的理论模型,探讨了哈拉哈塘地区走滑断裂的分段特征及其与油气成藏的关系.研究表明,哈拉哈塘地区主干走滑断裂平面不是连续不断的,而是由一系列雁列排布的R剪切断裂组成,具有明显的分段性：断阶带（overlap）发育成的P剪切断裂与R剪切整体构成辫状的构造样式;而在R剪切末端,派生出R'剪切、T剪切等次级断裂,组成马尾或羽状构造.不同区带具有不同的油气成藏条件：断阶带,受挤压应力控制发育局部背斜,为油气运移的长期指向区,而背斜翼部沿断层发育的串珠储集体为油气聚集提供了有效空间;走滑断裂末端的马尾构造区,断裂数量多、地势低,发育规模储集体,但油气易沿断裂向高处运移,油气保存条件较差.     

致密砂岩垂直裂缝井CO2混相驱试井模型研究

向地层注入CO2可以有效地提高致密砂岩原油采收率,常规的试井解释数学模型不能满足致密砂岩无限导流垂直裂缝井CO2混相驱试井解释的需求．因此,基于渗流力学基本原理建立考虑应力敏感影响的无限导流垂直裂缝井CO2混相驱试井解释数学模型,利用Laplace变换、摄动变换和Stehfest数值反演的方法进行求解,编程绘制典型特征曲线并进行敏感性分析．研究表明：该模型典型特征曲线共划分为八个流动阶段．由于应力敏感效应的影响,径向流阶段内、外区压力导数曲线不再是0.5和0.5M13水平线,而是呈“上翘”的曲线,并且应力敏感系数越大,曲线“上翘”越明显;混相区压力导数曲线符合幂律型变化指数规律且高于(1-n)/(3-n)斜率直线;内区、混相区半径和M12的变化都会使得外区压力曲线升高;通过该模型可以有效地对致密砂岩压裂井CO2混相驱试井资料进行解释．