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Shape Memory Polymers as Lost Circulation Materials for Sealing Wide-Opened Natural Fractures 形状记忆聚合物作为封堵大开天然裂缝的堵漏材料
IF 1.4 4区 工程技术 Q2 Engineering Pub Date : 2021-06-01 DOI: 10.2118/205514-PA
M. Tabatabaei, A. D. Taleghani, Guoqiang Li, Tianyi Zhang
While there have been various lost circulation materials (LCMs) available in the market for treating fractures during the drilling of oil and gas wells, there is still a demand for a technology to seal large fractures. Considering limitations on the size of the particles that can be circulated through the drilling equipment, especially the bottomhole assembly, simply enlarging conventional LCM particles becomes ineffective for sealing large vugs and fractures. In this study, we use shape memory polymers (SMPs) to prepare programmed LCMs with various temporary shapes, which can transform to their permanent shapes with much larger dimensions as compared to their temporary shapes. A series of steps for thermomechanical programming of SMP is designed to trigger their expansion at the reservoir temperature. The dimensions of the programmed shapes can be an order of magnitude smaller than the ones for the original shapes, making their transport through the flowlines feasible, and bridging wide-opened fractures possible. The basic idea is that, after recovery, the SMP-based LCMs form an entangled network across a large width of fracture, and SMP particles recovered within the network, filling in the pores to form an effective sealing. We seek the capability of entangled ladders and interwoven fibers in forming a network across the fracture. A permeability plugging apparatus (PPA) is used to examine the efficiency of developed LCMs. The technique of 3D X-ray computed tomography (CT) is used to visualize the internal structure of formed plugs, enabling us to understand the mechanisms of bridging, plugging, and sealing.
尽管市场上已经有各种堵漏材料(LCM)可用于处理油气井钻井过程中的裂缝,但仍然需要密封大裂缝的技术。考虑到可在钻井设备(尤其是井底组件)中循环的颗粒尺寸的限制,简单地扩大传统LCM颗粒对于密封大洞穴和裂缝是无效的。在这项研究中,我们使用形状记忆聚合物(SMPs)来制备具有各种临时形状的程序化LCM,与临时形状相比,这些LCM可以转变为具有更大尺寸的永久形状。SMP的热机械编程的一系列步骤被设计为在储层温度下触发它们的膨胀。编程形状的尺寸可以比原始形状的尺寸小一个数量级,这使得它们通过流线的传输是可行的,并且桥接大开口裂缝也是可能的。其基本思想是,在回收后,基于SMP的LCM在大宽度的裂缝上形成纠缠网络,SMP颗粒在网络内回收,填充孔隙以形成有效的密封。我们寻求纠缠梯和交织纤维在裂缝中形成网络的能力。渗透率封堵装置(PPA)用于检查所开发的LCM的效率。3D X射线计算机断层扫描(CT)技术用于可视化形成的塞子的内部结构,使我们能够理解桥接、堵塞和密封的机制。
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引用次数: 17
Thick-Wall Elastic Collapse for Casing Design 套管设计中的厚壁弹性坍塌
IF 1.4 4区 工程技术 Q2 Engineering Pub Date : 2021-06-01 DOI: 10.2118/199677-pa
R. Mitchell
Elastic collapse is an important piece of the tubular collapse formulation in API TR 5C3 (2008) and ISO/TR 10400 (2007). Elastic collapse is significant because it is independent of the strength of the tubing, for example, K-55 and Q-125 have the same resistance to elastic collapse. Advanced collapse models, such as Klever and Tamano (2006), require a thick-wall collapse result as part of their formulation. What would the effect of a thick wall have on elastic collapse? There really is no way to tell from the classic formulation. The primary issue is whether the elastic collapse formula overpredicts or underpredicts collapse pressure. The developers of the API collapse equation thought the thin-wall equation overpredicted collapse pressure and put in terms to reduce the predictions. Other studies suggested the opposite effect. What is needed is a formulation that is based on an elastic solution for a thick-wall cylinder, but that can derive the classic solution for a thin wall. The elastic equations for a thick-walled cylinder exist, known as the Kirsch equations (Kirsch 1898). A new set of physically reasonable boundary conditions are proposed for the Kirsch equation, which was then used to determine the collapse resistance for a thick-wall pipe. This result also yielded the classic result in the limit because t/D is small. The thick-wall elastic collapse formula is then applied to the standard API TR 5C3 (2008) collapse formulation and to the Klever-Tamano formulation (Klever and Tamano 2006).
弹性塌陷是API TR5C3(2008)和ISO/TR10400(2007)中管状塌陷配方的重要组成部分。弹性塌陷是重要的,因为它与管道的强度无关,例如,K-55和Q-125对弹性塌陷具有相同的抵抗力。先进的坍塌模型,如Klever和Tamano(2006),需要厚壁坍塌结果作为其公式的一部分。厚墙会对弹性坍塌产生什么影响?真的没有办法与经典的配方区分开来。主要问题是弹性坍塌公式是高估了坍塌压力还是低估了坍塌压力。API坍塌方程的开发者认为薄壁方程高估了坍塌压力,并提出了减少预测的方法。其他研究表明了相反的效果。我们需要的是一个基于厚壁圆柱体弹性解的公式,但它可以导出薄壁的经典解。存在厚壁圆柱体的弹性方程,称为Kirsch方程(Kirsch 1898)。为Kirsch方程提出了一组新的物理合理的边界条件,并将其用于确定厚壁管道的抗倒塌性能。由于t/D很小,这个结果也产生了极限中的经典结果。然后将厚壁弹性塌陷配方应用于标准API TR 5C3(2008)塌陷配方和Klever-Tamano配方(Klever和Tamano 2006)。
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引用次数: 0
Pressure Decline Analysis in Fractured Horizontal Wells: Comparison between Diagnostic Fracture Injection Test, Flowback, and Main Stage Falloff 压裂水平井压降分析:诊断性压裂注入测试、返排和主级降的比较
IF 1.4 4区 工程技术 Q2 Engineering Pub Date : 2021-05-01 DOI: 10.2118/201672-PA
HanYi Wang, Brendan Elliott, M. Sharma
The pressure decline data after the end of a hydraulic fracture stage are sometimes monitored for an extended period of time. However, to the best of our knowledge, these data are not analyzed and are often ignored or underappreciated because of a lack of suitable models for the closure of propped fractures. In this study, we present a new approach to model and analyze pressure decline data that are available in unconventional horizontal wells with multistage, transverse hydraulic fracturing. The methods presented in this study allow us to quantify closure stress and average pore pressure inside the stimulated reservoir volume (SRV) and to infer the uniformity of proppant distribution without additional data acquisition costs. For the first time, field data of diagnostic fracture injection test (DFIT), flowback, and pressure decline of main fracturing stages from the same well are compared and analyzed. We found that the early-time main fracturing stage pressure decline trend is controlled by fracture tip extension, followed by progressive hydraulic fracture closure on the proppant pack, whereas late-time pressure decline reflects linear flow. When DFIT data are not available, pressure decline analysis of a main hydraulic fracturing stage can be a substitution if it can be monitored for an extended period to allow fracture closure on proppants and asperities.
水力压裂阶段结束后的压力下降数据有时会被监测很长一段时间。然而,据我们所知,由于缺乏合适的支撑骨折闭合模型,这些数据没有得到分析,而且经常被忽视或低估。在这项研究中,我们提出了一种新的方法来建模和分析具有多级横向水力压裂的非常规水平井的压降数据。本研究中提出的方法使我们能够量化受激储层体积(SRV)内的闭合应力和平均孔隙压力,并推断支撑剂分布的均匀性,而无需额外的数据采集成本。首次对同一口井主要压裂阶段的诊断性裂缝注入试验(DFIT)、返排和压降的现场数据进行了比较和分析。我们发现,早期主压裂阶段的压力下降趋势受裂缝尖端延伸的控制,随后是支撑剂充填上的渐进水力裂缝闭合,而后期的压力下降反映了线性流动。当DFIT数据不可用时,如果可以对主要水力压裂阶段的压降分析进行长时间的监测,以允许支撑剂和微凸体上的裂缝闭合,则可以对其进行替代。
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引用次数: 6
Investigation of Dehydroxylated Sodium Bentonite as a Pozzolanic Extender in Oil-Well Cement 脱氢钠膨润土作为油井水泥中火山灰填充剂的研究
IF 1.4 4区 工程技术 Q2 Engineering Pub Date : 2021-04-01 DOI: 10.2118/205487-PA
Stephen Adjei, S. Elkatatny, P. Sarmah, Gonzalo Chinea
Fly ash, which is a pozzolan generated as a byproduct from coal-powered plants, is the most used extender in the design of lightweight cement. However, the coal-powered plants are phasing out due to global-warming concerns. There is the need to investigate other materials as substitutes to fly ash. Bentonite is a natural pozzolanic material that is abundant in nature. This pozzolanic property is enhanced upon heat treatment; however, this material has never been explored in oil-well cementing in such form. This study compares the performance of 13-ppg heated (dehydroxylated) sodium bentonite and fly-ash cement systems. The raw (commercial) sodium bentonite was dehydroxylated at 1,526°F for 3 hours. Cement slurries were prepared at 13 ppg using the heated sodium bentonite as partial replacements of cement in concentrations of 10 to 50% by weight of blend. Various tests were done at a bottomhole static temperature of 120°F, bottomhole circulating temperature of 110°F, and pressure of 1,000 psi or atmospheric pressure. All the dehydroxylated sodium bentonite systems exhibited high stability, thickening times in the range of 3 to 5 hours, and a minimum 24-hour compressive strength of 600 psi. At a concentration of 40 and 50%, the 24-hour compressive strength was approximately 800 and 787 psi, respectively. This was higher than a 13-ppg fly-ash-based cement designed at 40% cement replacement (580 psi).
粉煤灰是燃煤电厂产生的副产品,是轻质水泥设计中使用最多的填充剂。然而,由于对全球变暖的担忧,燃煤电厂正在逐步淘汰。有必要研究其他材料作为粉煤灰的替代品。膨润土是自然界中储量丰富的天然火山灰材料。这种火山灰性质在热处理后得到增强;然而,这种材料从未以这种形式应用于油井固井。本研究比较了13ppg加热(去羟基化)钠膨润土和粉煤灰水泥体系的性能。原料(商品)钠膨润土在1526°F下脱氢3小时。在13 ppg的条件下,使用加热的钠基膨润土作为水泥的部分替代品,以10 - 50%的混合质量浓度制备水泥浆。在井底静态温度为120°F、井底循环温度为110°F、压力为1,000 psi或大气压的条件下进行了各种测试。所有脱羟化钠膨润土体系均表现出高稳定性,增稠时间在3至5小时之间,最小24小时抗压强度为600 psi。在浓度为40%和50%时,24小时抗压强度分别约为800和787 psi。这比在40%水泥替换量(580 psi)下设计的13 ppg粉煤灰基水泥要高。
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引用次数: 2
A Generalized Empirical Expression for Collapse of Worn Tubulars Using Stress Concentration Factors 基于应力集中因子的磨损管塌陷的广义经验表达式
IF 1.4 4区 工程技术 Q2 Engineering Pub Date : 2021-04-01 DOI: 10.2118/205500-PA
A. Teigland, B. Brechan, S. Dale, S. Sangesland
As wells in modern operations are getting longer and more complex, assessing the effect of casing wear becomes ever more crucial. Degradation of the tubulars through mechanical wear reduces the pressure capacity significantly. In this paper, we use the finite element method (FEM) to analyze the stress distribution in degraded geometries and to assess reduction in collapse strength. A model for the collapse strength of the casing with a crescent-shaped wear groove is developed and its performance evaluated in relation to experimental data. The model was created by using the Buckingham Pi theorem to make generalized empirical expressions for yield and elastic collapse of tubulars. Finite element analysis (FEA) of 135 geometries was used in the development of the model. The results show that the generalized expressions capture the trends observed in the FEA accurately and match the experimental data from six tubular collapse tests with an average relative difference in collapse pressure of 5.2%.
随着现代作业中的油井越来越长、越来越复杂,评估套管磨损的影响变得越来越重要。由于机械磨损导致的管材劣化大大降低了承压能力。在本文中,我们使用有限元方法(FEM)来分析退化几何结构中的应力分布,并评估破坏强度的降低。建立了带月牙形磨损槽套管的抗塌强度模型,并结合实验数据对其性能进行了评价。利用Buckingham Pi定理建立了管材屈服和弹性坍塌的广义经验表达式。模型的建立采用了135种几何形状的有限元分析(FEA)。结果表明,广义表达式较好地反映了有限元分析的趋势,与6个管状破坏试验数据吻合,平均相对破坏压力差为5.2%。
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引用次数: 3
Practical Machine-Learning Applications in Well-Drilling Operations 机器学习在钻井作业中的实际应用
IF 1.4 4区 工程技术 Q2 Engineering Pub Date : 2021-04-01 DOI: 10.2118/205480-PA
T. Olukoga, Y. Feng
There is a great deal of interest in the oil and gas industry (OGI) in seeking ways to implement machine learning (ML) to provide valuable insights for increased profitability. With buzzwords such as data analytics, ML, artificial intelligence (AI), and so forth, the curiosity of typical drilling practitioners and researchers is piqued. While a few review papers summarize the application of ML in the OGI, such as Noshi and Schubert (2018), they only provide simple summaries of ML applications without detailed and practical steps that benefit OGI practitioners interested in incorporating ML into their workflow. This paper addresses this gap by systematically reviewing a variety of recent publications to identify the problems posed by oil and gas practitioners and researchers in drilling operations. Analyses are also performed to determine which algorithms are most widely used and in which area of oilwell-drilling operations these algorithms are being used. Deep dives are performed into representative case studies that use ML techniques to address the challenges of oilwell drilling. This study summarizes what ML techniques are used to resolve the challenges faced, and what input parameters are needed for these ML algorithms. The optimal size of the data set necessary is included, and in some cases where to obtain the data set for efficient implementation is also included. Thus, we break down the ML workflow into the three phases commonly used in the input/process/output model. Simplifying the ML applications into this model is expected to help define the appropriate tools to be used for different problems. In this work, data on the required input, appropriate ML method, and the desired output are extracted from representative case studies in the literature of the last decade. The results show that artificial neural networks (ANNs), support vector machines (SVMs), and regression are the most used ML algorithms in drilling, accounting for 18, 17, and 13%, respectively, of all the cases analyzed in this paper. Of the representative case studies, 60% implemented these and other ML techniques to predict the rate of penetration (ROP), differential pipe sticking (DPS), drillstring vibration, or other drilling events. Prediction of rheological properties of drilling fluids and estimation of the formation properties was performed in 22% of the publications reviewed. Some other aspects of drilling in which ML was applied were well planning (5%), pressure management (3%), and well placement (3%). From the results, the top ML algorithms used in the drilling industry are versatile algorithms that are easily applicable in almost any situation. The presentation of the ML workflow in different aspects of drilling is expected to help both drilling practitioners and researchers. Several step-by-step guidelines available in the publications reviewed here will guide the implementation of these algorithms in the resolution of drilling challenges.
石油和天然气行业(OGI)对寻求实施机器学习(ML)的方法非常感兴趣,以为提高盈利能力提供有价值的见解。随着数据分析、ML、人工智能等流行语的出现,激发了典型钻井从业者和研究人员的好奇心。虽然一些综述论文总结了ML在OGI中的应用,如Noshi和Schubert(2018),但它们只提供了ML应用的简单摘要,而没有详细和实用的步骤,这些步骤有利于有兴趣将ML纳入其工作流程的OGI从业者。本文通过系统地回顾最近的各种出版物来解决这一差距,以确定石油和天然气从业者和研究人员在钻井作业中提出的问题。还进行了分析,以确定哪些算法应用最广泛,以及这些算法在油井钻井作业的哪个领域使用。对使用ML技术解决油井钻井挑战的代表性案例研究进行了深度潜水。本研究总结了哪些ML技术用于解决所面临的挑战,以及这些ML算法需要哪些输入参数。包括必要的数据集的最佳大小,在某些情况下,还包括为了有效实现而获得数据集的位置。因此,我们将ML工作流分解为输入/过程/输出模型中常用的三个阶段。将ML应用程序简化为该模型有望帮助定义用于不同问题的适当工具。在这项工作中,从过去十年的文献中的代表性案例研究中提取了所需输入、适当的ML方法和所需输出的数据。结果表明,人工神经网络(Ann)、支持向量机(SVM)和回归是钻井中使用最多的ML算法,分别占本文分析的所有案例的18%、17%和13%。在具有代表性的案例研究中,60%采用了这些和其他ML技术来预测钻速(ROP)、差异卡管(DPS)、钻柱振动或其他钻井事件。22%的综述出版物对钻井液的流变特性进行了预测,并对地层特性进行了估计。应用ML的钻井的其他一些方面是井规划(5%)、压力管理(3%)和井布置(3%)。从结果来看,钻井行业中使用的顶级ML算法是通用的算法,几乎可以轻松应用于任何情况。ML工作流程在钻井不同方面的介绍有望帮助钻井从业者和研究人员。本文审查的出版物中提供的几个分步指南将指导这些算法在解决钻井挑战中的实施。
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引用次数: 16
A Mechanistic Model for Wellbore Cleanout in Horizontal and Inclined Wells 水平井和斜井井筒清洗机理模型
IF 1.4 4区 工程技术 Q2 Engineering Pub Date : 2021-04-01 DOI: 10.2118/204442-PA
R. Elgaddafi, R. Ahmed, H. Karami, M. Nasser, I. Hussein
The accumulation of rock cuttings, proppant, and other solid debris in the wellbore caused by inadequate cleanout remarkably impedes field operations. The cuttings removal process becomes a more challenging task as the coiled-tubing techniques are used during drilling and fracturing operations. This article presents a new hole cleaning model, which calculates the critical transport velocity (CTV) in conventional and fibrous water-based fluids. The study is aimed to establish an accurate mechanistic model for optimizing wellbore cleanout in horizontal and inclined wells. The new CTV model is established to predict the initiation of bed particle movement during cleanout operations. The model is formulated considering the impact of fiber using a special drag coefficient (i.e., fiber drag coefficient), which represents the mechanical and hydrodynamic actions of suspended fiber particles and their network. The dominant forces acting on a single bed particle are considered to develop the model. Furthermore, to enhance the precision of the model, recently developed hydraulic correlations are used to compute the average bed shear stress, which is required to determine the CTV. In horizontal and highly deviated wells, the wellbore geometry is often eccentric, resulting in the formation of flow stagnant zones that are difficult to clean. The bed shear stress in these zones is sensitive to the bed thickness. The existing wellbore cleanout models do not account for the variation in bed shear stress. Thus, their accuracy is limited when stagnant zones are formed. The new model addresses this problem by incorporating hydraulic correlations to account for bed shear stress variation with bed height. The accuracy of the new model is validated with published measurements and compared with the precision of an existing model. The use of fiber drag and bed shear stress correlations has improved model accuracy and aided in capturing the contribution of fiber in improving wellbore cleanout. As a result, for fibrous and conventional water-based fluids, the predictions of the new model have demonstrated good agreement with experimental measurements and provided better predictions than the existing model. Model predictions show a noticeable reduction in fluid circulation rate caused by the addition of a small quantity of fiber (0.04% w/w) in the fluid. In addition, results show that the existing model overpredicts the cleaning performance of both conventional and fibrous water-basedmuds.
由于清洗不充分,岩屑、支撑剂和其他固体碎屑在井筒中堆积,严重阻碍了现场作业。随着连续油管技术在钻井和压裂作业中的应用,岩屑清除过程变得更具挑战性。提出了一种新的井眼清洗模型,计算了常规和纤维状水基流体的临界输运速度(CTV)。该研究旨在为水平井和斜井的井筒清洗优化建立精确的机理模型。建立了新的CTV模型来预测洗井过程中床层颗粒运动的开始。该模型考虑了纤维的影响,使用了一个特殊的阻力系数(即纤维阻力系数)来建立模型,该系数代表了悬浮纤维颗粒及其网络的力学和水动力作用。考虑了作用在单床颗粒上的主导力来建立模型。此外,为了提高模型的精度,采用最近发展的水力相关性来计算平均床层剪应力,这是确定CTV所需的。在水平井和大斜度井中,井筒几何形状往往偏心,导致形成难以清洗的流动停滞区。这些区域的床层剪切应力对床层厚度很敏感。现有的井筒清洗模型没有考虑到地层剪切应力的变化。因此,当停滞区形成时,它们的精度受到限制。新模型通过纳入水力相关性来解释床层剪切应力随床层高度的变化,从而解决了这一问题。用已发表的测量数据验证了新模型的精度,并与现有模型的精度进行了比较。纤维阻力和床层剪切应力相关性的使用提高了模型的准确性,并有助于捕捉纤维对改善井筒清洗的贡献。因此,对于纤维和常规水基流体,新模型的预测结果与实验测量结果非常吻合,并且提供了比现有模型更好的预测结果。模型预测表明,在流体中加入少量纤维(0.04% w/w)会显著降低流体循环速率。此外,结果表明,现有模型高估了常规和纤维型水基泥浆的清洗性能。
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引用次数: 5
API Equation Design Limits Plot for Ellipse and Circle of Plasticity 塑性椭圆和圆的API方程设计极限图
IF 1.4 4区 工程技术 Q2 Engineering Pub Date : 2021-04-01 DOI: 10.2118/204079-PA
J. Romero, J. Aasen
In this paper we present a methodology to superimpose the American Petroleum Institute (API) uniaxial and triaxial limits on tubular design limits plots (API TR 5C3 2018). Complications caused by a recent change of axis are resolved, producing a practical design limits plot that avoids the horizontal shift of the API vertical limits, which is currently the industry standard. The commonly used slanted ellipse is compared against an adaptation of the circle of plasticity in the form of a horizontal ellipse, showing the convenience of this last one with examples. After the current official collapse formulation was made part of the main body of standard API TR 5C3 (2018), the horizontal axis on the standard industry well tubular design limits plot changed. The present study evaluates this redefinition of the horizontal axis. One consequence of this modification is a difficulty plotting the API tension and compression limits. The API horizontal limits (uniaxial burst and collapse) are found to be independent of load situation, whereas the API vertical design limits (uniaxial tension and compression) are dependent on inside and outside tubular pressures. The approaches used by commercial software and industry publications to solve this challenge are reviewed. A new design methodology is developed to link API uniaxial limits to the triaxial theory. One main objective of the study is to establish a mathematical relationship between API tubular design limits and the von Mises triaxial theory (API TR 5C3 2018). A methodology that allows plotting the API uniaxial force limits on the design limits plot is developed. The study also shows that the results obtained from the industry standard slanted ellipse are identical to those obtained from the horizontal ellipse and circle. One important difference is that the slanted ellipse is based on the zero axial stress datum, whereas the horizontal ellipse/circle uses the neutral axial stress datum. The horizontal ellipse/circle is well suited for calculations involving buckling, compatible with the information used in field operations, and its formulations are less complicated than the tilted ellipse. Therefore, attention is called to the use of the horizontal ellipse/circle in well tubular design.
在本文中,我们提出了一种方法,将美国石油协会(API)的单轴和三轴极限叠加到管状设计极限图上(API TR 5C3 2018)。解决了最近轴线变化引起的复杂性,产生了一个实用的设计极限图,避免了API垂直极限的水平移动,这是目前的行业标准。将常用的斜椭圆与塑性圆在水平椭圆形式下的适应性进行了比较,并举例说明了后一种形式的便利性。在现行官方坍塌配方成为标准API TR 5C3(2018)主体的一部分后,标准工业井管柱设计限值图上的水平轴发生了变化。本研究评估了这种对横轴的重新定义。这种修改的一个后果是难以绘制API的张力和压缩极限。研究发现,API水平极限(单轴爆裂和坍塌)与载荷情况无关,而API垂直设计极限(单轴拉伸和压缩)取决于管内和管外压力。本文回顾了商业软件和工业出版物用于解决这一挑战的方法。开发了一种新的设计方法,将API单轴极限与三轴理论联系起来。该研究的一个主要目标是建立API管设计极限与von Mises三轴理论(API TR 5C3 2018)之间的数学关系。开发了一种允许在设计极限图上绘制API单轴力极限的方法。研究还表明,用工业标准斜椭圆得到的结果与用水平椭圆和圆形得到的结果是一致的。一个重要的区别是,倾斜椭圆是基于零轴向应力基准,而水平椭圆/圆使用中性轴向应力基准。水平椭圆/圆非常适合计算屈曲,与现场作业中使用的信息兼容,其公式比倾斜椭圆更简单。因此,在井管柱设计中应注意水平椭圆/圆形的使用。
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引用次数: 0
Experimental Study of Cuttings Transport with Non-Newtonian Fluid in an Inclined Well Using Visualization and Electrical Resistance Tomography Techniques 基于可视化和电阻层析成像技术的斜井非牛顿流体岩屑运移实验研究
IF 1.4 4区 工程技术 Q2 Engineering Pub Date : 2021-04-01 DOI: 10.2118/201709-PA
Mohammad Mojammel Huque, S. Imtiaz, S. Zendehboudi, S. Butt, M. A. Rahman, P. Maheshwari
Hole cleaning is a concern in directional and horizontal well drilling operations where drill cuttings tend to settle in the lower annulus section. Laboratory-scale experiments were performed with different non-Newtonian fluids in a 6.16-m-long, 114.3- × 63.5-mm transparent annulus test section to investigate cuttings transport behavior. This experimental study focused on understanding the cuttings transport mechanism in the annulus section with high-speed imaging technology. The movement of cuttings in the inclined annular section was captured with a high-speed camera at 2,000 frames/sec. Also, cuttings bed movement patterns at different fluid velocities and inner pipe rotations were captured with a digital single-lens reflex video camera. The electrical resistance tomography (ERT) system was used to quantify the cuttings volume fraction in the annulus. Different solid bed heights and cuttings movements were observed based on fluid rheology, fluid velocity, and inner pipe rotation. The mechanistic three-layer cuttings transport model was visualized with the experimental procedure. This study showed that solid bed height is significantly reduced with an increase in the inner pipe rotation. This study also identified that cuttings bed thickness largely depends on fluid rheology and wellbore inclination. The image from the high-speed camera identified a downward trend of some rolling particles in the annulus caused by gravitational force at a low mud velocity. Visual observation from a high-speed camera identified a helical motion of solid particles when the drillpipe is in contact with solid particles and rotating at a higher rev/min. Different cuttings movement patterns such as: rolling, sliding, suspension, helical movement, and downward movement were identified from the visualization of a high-speedcamera.
在定向井和水平井钻井作业中,井眼清洁是一个值得关注的问题,因为钻屑往往会沉降在下环空段。在一个6.16 m长、114.3 × 63.5 mm的透明环空测试段中,采用不同的非牛顿流体进行了实验室规模的实验,以研究岩屑的运移行为。本实验研究的重点是利用高速成像技术了解环空岩屑运移机理。高速摄像机以2000帧/秒的速度捕捉岩屑在倾斜环空段的运动。此外,在不同流体速度和管内旋转情况下,通过数码单镜头反光摄像机捕捉岩屑床的运动模式。电阻层析成像(ERT)系统用于量化环空岩屑体积分数。根据流体流变学、流体速度和内管旋转,观察到不同的固体床高度和岩屑运动。通过实验程序可视化了岩屑运移的三层机制模型。该研究表明,随着内管旋转的增加,固体床层高度显著降低。该研究还发现,岩屑层厚度在很大程度上取决于流体流变学和井筒倾角。高速摄像机的图像显示,在低泥浆速度下,由于重力作用,环空中一些滚动颗粒呈下降趋势。当钻杆与固体颗粒接触并以更高的转速/分钟旋转时,高速摄像机的视觉观察发现固体颗粒的螺旋运动。通过高速摄像机的可视化,可以识别出不同的岩屑运动模式,如滚动、滑动、悬浮、螺旋运动和向下运动。
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引用次数: 5
A Generalized Solution to the Point-to-Target Problem Using the Minimum Curvature Method 用最小曲率法求点对目标问题的广义解
IF 1.4 4区 工程技术 Q2 Engineering Pub Date : 2021-03-01 DOI: 10.2118/204111-PA
S. Sawaryn
An explicit solution to the general 3D point-to-target problem based on the minimum curvature method has been sought for more than four decades. The general case involves the trajectory's start and target points connected by two circular arcs joined by a straight line with the position and direction defined at both ends. It is known that the solutions are multivalued, and efficient iterative schemes to find the principal root have been established. This construction is an essential component of all major trajectory construction packages. However, convergence issues have been reported in cases where the intermediate tangent section is either small or vanishes and rigorous mathematical conditions under which solutions are both possible and are guaranteed to converge have not been published. An implicit expression has now been determined that enables all the roots to be identified and permits either exact or polynomial-type solution methods to be used. Most historical attempts at solving the problem have been purely algebraic, but a geometric interpretation of related problems has been attempted, showing that a single circular arc and a tangent section can be encapsulated in the surface of a horn torus. These ideas have now been extended, revealing that the solution to the general 3D point-to-target problem can be represented as a 10th-orderself-intersecting geometric surface, characterized by the trajectory's start and end points, the radii of the two arcs, and the length of the tangent section. An outline of the solution's derivation is provided in the paper together with complete details of the general expression and its various degenerate forms so that readers can implement the algorithms for practical application. Most of the degenerate conditions reduce the order of the governing equation. Full details of the critical and degenerate conditions are also provided, and together these indicate the most convenient solution method for each case. In the presence of a tangent section, the principal root is still most easily obtained using an iterative scheme, but the mathematical constraints are now known. It is also shown that all other cases degenerate to quadratic forms that can be solved using conventional methods. It is shown how the general expression for the general point-to-target problem can be modified to give the known solutions to the 3D landing problem and how the example in the published works on this subject is much simplified by the geometric, rather than algebraic treatment.
四十多年来,人们一直在寻求基于最小曲率方法的一般三维点对目标问题的显式解决方案。一般情况下,轨迹的起点和目标点由两个圆弧连接,圆弧由一条直线连接,位置和方向在两端定义。已知解是多值的,并且已经建立了寻找主根的有效迭代方案。该结构是所有主要轨道结构包的重要组成部分。然而,在中间切线截面较小或为零的情况下,已经报道了收敛问题,并且尚未公布解决方案既可能又保证收敛的严格数学条件。现在已经确定了一个隐式表达式,它能够识别所有的根,并允许使用精确或多项式类型的求解方法。历史上解决这个问题的大多数尝试都是纯代数的,但也尝试了对相关问题的几何解释,表明单个圆弧和切线截面可以封装在喇叭环面的表面中。这些想法现在已经得到了扩展,揭示了一般三维点对目标问题的解决方案可以表示为一个十阶自相交几何曲面,其特征是轨迹的起点和终点、两个圆弧的半径和相切截面的长度。文中概述了该解的推导过程,并详细介绍了通用表达式及其各种退化形式,以便读者能够实现实际应用中的算法。大多数退化条件降低了控制方程的阶数。还提供了临界条件和退化条件的全部细节,这些细节一起表明了每种情况下最方便的求解方法。在存在切线截面的情况下,使用迭代方案仍然最容易获得主根,但现在已经知道了数学约束。还表明,所有其他情况都退化为可以使用传统方法求解的二次形式。它展示了如何修改一般点到目标问题的通用表达式,以给出3D着陆问题的已知解,以及如何通过几何处理而不是代数处理来简化已发表的关于该主题的著作中的例子。
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引用次数: 2
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SPE Drilling & Completion
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