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Deep EM Method for Proactively Prediction of Resistivity ahead of Bit to Determine Salt Bottom Position 主动预测钻头前方电阻率确定盐底位置的深部电磁法
Pub Date : 2020-01-13 DOI: 10.2523/iptc-19616-abstract
Q. Guo, Xiang Bao Hao, Chaogang Wu, J. Seydoux, Chao Wang, Y. Shim, Y. Liu
Most wells in TOC block A need to be drilled through the salt formation, which is always with troubles, like high-pressure salt water, mud loss, stuck pipe etc. Furthermore, the salt formation has great heterogeneity, thickness and depth of the salt different from well to well. For these wells, it's very important to drill through the salt formation safely then set casing accurately at the bottom of it. The common practice for client is to drill using small bit and then reamer to large hole through the salt formation, which is costing time and large uncertainty in salt formation detecting. The deep EM look-ahead method application aims to help client to predict the bottom of salt formation, then set casing to the right place. This new approached method in this paper based on deep EM technology can detect formation features, especially development for measuring resistivity contrasts ahead of the bit in real time to reduce cost and risk during drilling operations. It provides a step change with regard to precision in detecting changes in resistivity properties ahead of the bit in vertical and low-angle wells. This method can reduce mainly drilling risks and improve landing but detecting potential drilling hazard and reducing depth uncertainty ahead of the bit. The main application of this method in this paper is to detect salt bottom ahead of bit. Using this method, we can now finally drill and react pro-actively on formation resistivity properties several meters ahead of the drill-bit, instead of drilling reactively on resistivities at or behind the bit. After one well application, we successfully helped client detecting the bottom of formation and setting case to the right depth. In this paper, a pilot project case will be discussed detailly featuring successful application of EM method to react pro-actively on formation resistivity changes ahead of bit, helping client reducing drilling risks.
TOC A区块大部分井需要钻穿盐层,而盐层存在高压盐水、泥浆漏失、卡管等问题。此外,盐层具有较大的非均质性,不同井的盐层厚度和深度不同。对于这些井来说,安全钻穿盐层并在盐层底部准确下入套管是非常重要的。对于客户来说,通常的做法是先用小钻头钻进,然后用扩眼器钻过盐层,这既费时又不确定。深电磁预测方法的应用旨在帮助客户预测盐层底部,然后将套管安装到正确的位置。本文提出的这种基于深部电磁技术的新方法可以探测地层特征,特别是可以实时测量钻头前方的电阻率对比,从而降低钻井作业中的成本和风险。在垂直井和小斜度井中,它在检测钻头前方电阻率特性变化方面的精度有了阶跃变化。该方法主要可以降低钻井风险,提高着陆效果,同时还可以检测潜在的钻井危险,减少钻头前的深度不确定性。该方法在本文中的主要应用是超前探测钻头的盐底。使用这种方法,我们现在可以在钻头前方几米的地方钻进并主动响应地层电阻率特性,而不是在钻头处或钻头后被动响应地层电阻率。经过一口井的应用,我们成功地帮助客户探测到地层底部,并将套管定位到正确的深度。在本文中,将详细讨论一个试点项目案例,该案例成功地应用了EM方法,在钻头之前对地层电阻率变化做出主动反应,帮助客户降低了钻井风险。
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引用次数: 0
Production Allocation of Commingled Reservoir Fluids by On-Site Spectroscopic Analysis 现场光谱分析混合储层流体的产量分配
Pub Date : 2020-01-13 DOI: 10.2523/iptc-20057-abstract
C. Carati, L. Bonoldi, Rino Bonetti, M. Nali, A. Amendola
Allocation of production fluids is a key aspect for reservoir management purposes. Many consolidated techniques exist, but they have the drawback of being expensive (multiphase flowmeters, production logging tool, spectral noise logging) or not directly portable at wellhead (geochemical production allocation). For these reasons, we developed a new rapid and accurate method employing Fourier Transform InfraRed (FTIR) spectroscopy coupled with regression methods, and successfully applied to a real case of reservoir commingled fluids. After testing different spectroscopic techniques, we realized that FTIR was the best method to perform allocation. FTIR spectra were acquired with a portable spectrometer operated in transmission mode on oils loaded in standard cells for liquids (0.1 mm optical path, KBr windows). The portable instrumentation yielded equally informative signals as the laboratory one for our needs. After suitable baseline subtraction, a machine learning workflow written in R language was applied to select the most informative spectral regions for the deconvolution of single component contribution in analysis of mixtures. Through a minimization algorithm, we are able to get the concentration of end members samples into the commingled samples. To validate our technology, we first took the end member oils (coming from two different layers of the same reservoir), we mixed them, performed the IR analysis with our portable instrument and then applied our regression modelling approach, getting results that are both accurate and precise (less than 2% of average error). Based on that, we applied our workflow directly on 9 real commingled samples coming from the same aforementioned reservoir, getting results that are in very good agreement with multi-phase flowmeters measurements. We then think that the technology is very promising and can be considered a real, low-cost and affordable opportunity among all the reservoir allocation best practices. Combination of spectroscopic portable IR hardware with regression software for the sake of allocation directly at wellhead is an innovative solution for the old problem of allocation.
生产流体的分配是油藏管理的一个关键方面。目前存在许多综合技术,但它们的缺点是价格昂贵(多相流量计、生产测井工具、频谱噪声测井)或不能直接携带在井口(地球化学生产分配)。为此,本文提出了一种新的快速准确的方法——傅里叶变换红外光谱(FTIR)与回归方法相结合,并成功应用于油藏混合流体的实际情况。在测试了不同的光谱技术后,我们意识到FTIR是进行分配的最佳方法。FTIR光谱是用便携式光谱仪在传输模式下对装载在液体标准槽(0.1 mm光程,KBr窗口)的油进行采集的。为了满足我们的需要,便携式仪器产生的信号与实验室仪器一样丰富。在适当的基线减法后,采用R语言编写的机器学习工作流来选择最具信息量的光谱区域,用于混合分析中的单组分贡献的反卷积。通过最小化算法,我们可以得到混合样本中端元样本的浓度。为了验证我们的技术,我们首先提取了末端成员油(来自同一储层的两个不同层),将它们混合,用便携式仪器进行红外分析,然后应用我们的回归建模方法,得到了既准确又精确的结果(小于平均误差的2%)。在此基础上,我们将工作流程直接应用于来自上述同一储层的9个真实混合样品,得到的结果与多相流量计测量结果非常吻合。因此,我们认为该技术非常有前途,可以被认为是所有油藏配置最佳实践中一个真正的、低成本的、负担得起的机会。将便携式红外光谱硬件与回归软件相结合,直接在井口进行分配,是解决分配老问题的创新方案。
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引用次数: 1
Reduce Drilling Risk in HPHT Gas Field Using Innovative Look-Ahead Technology - A Case Study from South China Sea 利用创新前瞻性技术降低高温高压气田钻井风险——以南海气田为例
Pub Date : 2020-01-13 DOI: 10.2523/iptc-19636-ms
Hong Yang, Shusheng Guo, Yongde Gao, Ming Chen, Chao Wang, Y. Shim, B. Chang, Fei Wang, Tong Li
Located in offshore South China Sea, Ledong high-pressure/high-temperature (HPHT) gas field has entered the appraisal phase after the first discovery was announced in 2015. The pressure gradient of the main target zone is close to 2.2 g/cm3 whereas the top formation is approximately 1.8 g/cm3; the sand packages are separated by a variable shale layer thickness. To avoid kicks, mud losses, or other drilling problems, mud weight must be adjusted accordingly to preserve the well integrity. Hence, the main objective for this hole section is to stop drilling above the main target sand and set casing to isolate the formation with different pressure gradient. An innovative look-ahead technology based on deep electromagnetic measurements was used to predict the formation change ahead of bit in real time to reduce the drilling risk. After review of the technical and geological challenges encountered in this field, this paper will discuss the successful approach taken to detect formation changes using the new technique. After the shale layer above the target sand has been identified in real-time, drilling will stop above the high-pressured sand to set casing. In addition, the authors will also describe the bottom hole assembly (BHA) configuration and measurement selection in the planning phase to ensure the success of this well. The real-time interpretation of look-ahead measurements enables boundary detection ahead of the bit at distances ranging from 3 to 20 m in this example. The depth of detection depends on the resistivity contrast between formation, layer thickness, presence of laminations, and the transmitter-to-receiver distance. The application of the innovative look-ahead technology has helped to Reduce the drilling risk by detecting formation change ahead of the bit Accurately identify casing shoe position to ensure well integrity Eliminate extra casing string, which will directly increase the well construction cost Avoid unnecessary operation adjustments and improve drilling efficiency Clear prediction of the resistivity profile ahead of the bit enables proactive decision making while drilling. This additional information has removed the need to consider the possibilities for different scenarios and the extra circulating time taken to make decisions among stake holders. The successful implementation of the look-ahead technology and the application in the HPHT well has led to reduction in overall nonproductive time by reducing drilling risk and improving drilling efficiency. This innovative technique changes the real-time decision-making process while delivering a new way to manage drilling risk.
乐东高压高温(HPHT)气田位于中国南海近海,自2015年宣布首次发现以来,目前已进入评估阶段。主靶层压力梯度接近2.2 g/cm3,顶层压力梯度约为1.8 g/cm3;砂包被不同厚度的页岩层隔开。为了避免井涌、泥浆漏失或其他钻井问题,必须相应地调整泥浆比重,以保持井的完整性。因此,该井段的主要目标是在主要目标砂层上方停止钻井,并设置套管以隔离具有不同压力梯度的地层。采用了一种基于深部电磁测量的创新预见性技术,在钻头之前实时预测地层变化,以降低钻井风险。在回顾了该领域遇到的技术和地质挑战之后,本文将讨论使用新技术检测地层变化的成功方法。当目标砂层上方的页岩层被实时识别后,钻井将在高压砂层上方停止,以下套套管。此外,作者还将在规划阶段描述底部钻具组合(BHA)的配置和测量选择,以确保该井的成功。在这个例子中,超前测量的实时解释可以在钻头前方3到20米的距离内进行边界检测。探测深度取决于地层之间的电阻率对比、层厚、层状物的存在以及发射机到接收机的距离。创新的超前预测技术的应用,通过在钻头之前检测地层变化,有助于降低钻井风险。准确识别套管鞋位置,确保井的完整性。避免额外的套管,避免不必要的操作调整,提高钻井效率。这些额外的信息消除了考虑不同情景的可能性的需要,以及在利益相关者之间做出决策所花费的额外循环时间。前瞻性技术的成功实施和在高温高压井中的应用,通过降低钻井风险和提高钻井效率,减少了总体非生产时间。这项创新技术改变了实时决策过程,同时提供了一种管理钻井风险的新方法。
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引用次数: 1
H2S Lean Loading, the Balance Between Specifications, Corrosion and Actual Performance 硫化氢低负荷,规格,腐蚀和实际性能之间的平衡
Pub Date : 2020-01-13 DOI: 10.2523/iptc-20039-ms
L. Alberts, Faris Al-Jebali
Saudi Aramco guideline is to maintain a minimum H2S in lean amine as part of the Corrosion Monitoring Program, however, the minimum of 300 ppmw is not always achievable. Gas Operations Technical Support initiated a study to identify the reason for deviations between the guideline and field measurements, finding feed gas H2S/CO2 ratio, Gas Treat unit design, design basis, analytical procedures, and amine type were factors. The findings will be discussed along with examples when low residual H2S is beneficial or detrimental. The importance of residual H2S in lean amine is that the H2S in the sweet gas or partial pressure is related to the residual H2S in lean amine, with the H2S in sweet gas increasing with increasing lean amine temperatures or residual H2S in lean amine. Lower residual H2S allows operating at higher lean amine temperatures or lower pressures, but can negatively impact corrosion. Typical control parameters are the lean amine temperature, lean amine flow, regenerator overhead temperature or steam flowrate/gpm amine. Lean amine temperature is significantly impacted by the ambient temperature in Saudi Arabia that reaches 49°C (120°F) during summer, especially for gas treatment units operating with ambient cooling. Regenerator overhead temperatures or steam flow were reduced in a number of plants, to increase the residual H2S in lean amine without significant increases, before causing H2S breakthrough to the sweet gas.
作为腐蚀监测计划的一部分,沙特阿美公司的指导方针是保持瘦胺中最低硫化氢含量,然而,最低300ppmw并不总是可以实现的。天然气作业技术支持部门启动了一项研究,以确定指南与现场测量结果之间偏差的原因,发现原料气H2S/CO2比、气体处理装置设计、设计基础、分析程序和胺类型是影响因素。研究结果将与低残余硫化氢有益或有害的例子一起讨论。精胺中残余H2S的重要性在于,甜气中H2S或分压与精胺中残余H2S有关,随着精胺温度或精胺中残余H2S的升高,精胺中H2S含量也随之增加。较低的残余H2S允许在较高的贫胺温度或较低的压力下操作,但会对腐蚀产生负面影响。典型的控制参数有贫胺温度、贫胺流量、蓄热器顶温或蒸汽流量/gpm胺。沙特阿拉伯的环境温度在夏季可达49°C(120°F),对瘦胺的温度影响很大,尤其是在环境冷却的情况下运行的气体处理装置。在许多工厂中,降低蓄热器的顶部温度或蒸汽流量,在不显著增加的情况下增加瘦胺中的残余H2S,然后使H2S突破到甜气体中。
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引用次数: 0
Technology Lifecycle Management Innovation–Prognostic Health Monitoring on Downhole Drilling Equipment 技术生命周期管理创新——井下钻井设备健康预测监测
Pub Date : 2020-01-13 DOI: 10.2523/iptc-20277-ms
Min You, Wesam Salama, Abdiwahid Alasow
The simple ‘fix it when its breaks’ approach to maintenance is often referred to as First Generation Maintenance. The approach towards maintenance was changed around the time of World War II, where we transitioned to preventative maintenance due to the requirement of preventing loss of production by machine from downtime. This is known as Second Generation Maintenance. With more complex technology utilization, research by aviation industry has shown that 70%-90% of failure modes are not age-related. For most failure modes the likelihood of occurrence is random and could not be caught by Preventive Maintenance. Later research by the United States Navy and others found very similar results. So, Third Generation Maintenance, Reliability Centered Maintenance (RCM) was born.
简单的“坏了再修”的维护方法通常被称为第一代维护。维护的方法在第二次世界大战期间发生了变化,由于需要防止机器停机造成的生产损失,我们过渡到预防性维护。这被称为第二代维护。随着更复杂的技术应用,航空工业的研究表明,70%-90%的故障模式与年龄无关。对于大多数故障模式,发生的可能性是随机的,不能被预防性维护捕获。后来,美国海军和其他研究机构的研究发现了非常相似的结果。因此,第三代维修,以可靠性为中心的维修(RCM)诞生了。
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引用次数: 0
Strength Comparison of Accelerated Cured & Normal Cured Fly-Ash Based Concrete 加速养护与普通养护粉煤灰基混凝土强度比较
Pub Date : 2020-01-01 DOI: 10.22581/10.22581/muet1982.2001.03
M. Khan, A. Javed, Mahboob Ali Choudhry
The most important property of concrete is its compressive strength, which is carried out after 28-days of proper curing of concrete. This test is affected by other factors like the condition of curing, water to cement ratio, method of transportation, handling of the concrete, extent of vibrations and quality of the ingredients of mix proportion. This research study is an attempt to develop a simple mathematical model, by using linear regression analysis to estimate the 28-day fc’ (Compressive Strength) of concrete from the test results carried out at early age. This simple linear equation develops a relationship of 28.5 hours. These results show that most of the predicted values of compressive strength, calculated via equations, lie within permissible range difference for compressive strength achieved by experimental method, which is clear indication of credibility of the equations obtained for compressive strength at different age of concrete. The results show that compressive strength of concrete increases with the increase in content of FA (Fly Ash) upto 30% replacement, and the compressive strength of the concrete starts decreasing beyond 30% FA substitution. This argument is totally in line with all the literature carried out for this research.
混凝土最重要的性能是其抗压强度,这是在混凝土适当养护28天后进行的。该试验受养护条件、水灰比、运输方式、混凝土搬运、振动程度和配合比成分质量等因素的影响。本研究试图建立一个简单的数学模型,通过线性回归分析,从早期进行的试验结果中估计混凝土的28天抗压强度。这个简单的线性方程发展出28.5小时的关系。结果表明,通过方程计算得到的抗压强度预测值大部分在试验方法得到的抗压强度允许差值范围内,表明所得到的不同龄期混凝土抗压强度方程的可靠性。结果表明:粉煤灰掺量增加至30%替代量时,混凝土抗压强度随掺量的增加而增加,超过30%替代量后,混凝土抗压强度开始下降;这一论点完全符合为本研究所开展的所有文献。
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引用次数: 0
Human Hair as Fiber Reinforced Concrete for Enhancement of Tensile Strength of Concrete 人发纤维增强混凝土提高混凝土抗拉强度
Pub Date : 2020-01-01 DOI: 10.22581/muet1982.2001.07
H. Kanwal, M. Aslam, Tayyab Mughal, M. Asim, Reena Majid Memon
FRC (Fibre Reinforced Concrete) is fibrous material which increases its structural integrity, resists to explosive spalling in case of environmental affects, improves mix cohesion, improves ductility, reduces of steel reinforcement requirements and reduces the voids due to good stiffness. It contains short discrete fibres that are uniformly distributed. Mostly, natural fibers are the waste material which may have negative impact on environment. Synthetic fibres include steel fibres and glass fibres but natural fibres are coconut fibres and human hair fibres which tends to vary the properties to concrete. In addition, the character of FRC changes with varying concrete, fibre material, geometries, distribution, orientation and densities. Hair fibre concrete gives a practical, cost-effective and convenient method to avoid cracks and deficiencies regarding strength and proper mixing ratio which occurs at a longer period. Fibres have been used to reduce plastic shrinkage and drying shrinkage in concrete. In some structural elements, fibrous concrete can be used to reduce the cost of structure. Different fibres are used to improve the tensile strength of concrete. Human hair are strong in tension. Hair fibres can be utilized as a strengthening material. Hair fibre is a non-decay able matter and available at a cheap rate. Experiments have been performed on fibrous concrete cylinders containing various percentages of human hair which is 0, 0.5, 1 and 1.5% by the weight of cement. A total of seventy-two cylinders have been prepared with FRC having different %ages of hair content. Workability, compressive strength and split tensile strength have been checked at three curing ages i.e. 7, 14 and 28 days. This research will open a new wicket in the horizon of reuse of waste material efficiently in construction industry. This innovation in construction industry will save our natural resources and use fibre in productive and an effective approach.
FRC(纤维增强混凝土)是一种纤维材料,它增加了结构的完整性,在环境影响下抵抗爆炸剥落,提高了混合料的凝聚力,提高了延性,减少了对钢筋的要求,并且由于良好的刚度而减少了空隙。它包含均匀分布的短纤维。天然纤维大多是对环境有负面影响的废弃物。合成纤维包括钢纤维和玻璃纤维,但天然纤维是椰子纤维和人发纤维,它们的性能往往与混凝土不同。此外,FRC的特性随着混凝土、纤维材料、几何形状、分布、取向和密度的变化而变化。毛纤维混凝土提供了一种实用、经济、方便的方法,以避免在较长时间内出现的裂缝和强度和适当的配合比不足。纤维已被用于减少混凝土的塑性收缩和干燥收缩。在某些结构构件中,可采用纤维混凝土来降低结构成本。不同的纤维被用来提高混凝土的抗拉强度。人的头发有很强的张力。头发纤维可以用作增强材料。头发纤维是一种不腐烂的物质,价格便宜。在纤维混凝土圆柱体上进行了实验,其中含有不同百分比的人发,分别是水泥重量的0、0.5、1和1.5%。共制备了72个钢瓶,其中FRC具有不同年龄的头发含量。在7天、14天和28天的三个固化时间下,测试了工作性、抗压强度和劈裂抗拉强度。本研究将为建筑材料的高效再利用开辟一条新的道路。这项在建筑行业的创新将节省我们的自然资源,并有效地利用纤维。
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引用次数: 4
Improving Efficiency of Photovoltaic Cell Using Nanomaterials 利用纳米材料提高光伏电池效率
Pub Date : 2020-01-01 DOI: 10.22581/muet1982.2001.06
Batool Memon, Samia Jatoi, Z. Ali, J. Larik, Liaquat Ali Jamro
Conventional solar cells are not economical and are recently too expensive to the manufacturers for extensive-scale electricity generation. Cost and efficiency is most vital factor in the accomplishment of any solar technology. In order to improve the conversion efficiency, the major research in thirdgeneration photovoltaic (PV) cells is directed toward retaining more sunlight using nanotechnology. Advancement in nanotechnology solar cell via quantum dots (QDs) could reduce the cost of PV cell and additionally enhance cell conversion efficiency. Silicon quantum dots (Si-QDs) are semiconductor nano crystals of nanometers dimension whose electron-holes are confined in all three spatial dimensions. Quantum dots have discrete electronic states. Quantum dots have capacity to change band gap with the adjustment in size of quantum dot. As the quantum dots size fluctuates over a wide range that demonstrates the variety of band gap so it will assimilate or discharge light. In this paper, the generic mathematical models of PV cell are adopted and then I-V and P-V characteristic curves are obtained from selected parameters using MATLAB software. The essential parameters are taken from datasheets. I-V and P-V characteristics curves are obtained for selected model. Silicon quantum dots have the tunable band gap that is added to conventional PV cell and obtain the I-V and P-V curves. After simulation, efficiency and power of Conventional PV cell to quantum dots based PV cell is compared. The property of quantum dots is used in extending the band gap of solar cells and increasing the maximum proportion of incident sunlight absorbed, hence improving efficiency.
传统的太阳能电池不经济,而且对制造商来说,目前用于大规模发电过于昂贵。成本和效率是实现任何太阳能技术的最重要因素。为了提高转换效率,第三代光伏(PV)电池的主要研究方向是利用纳米技术留住更多的阳光。利用量子点技术发展纳米太阳能电池可以降低光伏电池的成本,提高电池的转换效率。硅量子点(Si-QDs)是纳米尺度的半导体纳米晶体,其电子空穴被限制在三个空间维度上。量子点具有离散的电子态。量子点具有随量子点尺寸的变化而改变带隙的能力。由于量子点的大小在一个很宽的范围内波动,这表明了带隙的变化,因此它会吸收或放电光。本文采用PV电池的通用数学模型,利用MATLAB软件对所选参数得到I-V和P-V特性曲线。基本参数取自数据表。得到所选模型的I-V和P-V特性曲线。硅量子点具有可调谐的带隙,加入到传统的光伏电池中,并获得I-V和P-V曲线。通过仿真,比较了传统光伏电池和量子点光伏电池的效率和功率。利用量子点的特性可以延长太阳能电池的带隙,增加入射太阳光的最大吸收比例,从而提高效率。
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引用次数: 1
Exhaustive Security System Based on Face Recognition Incorporated with Number Plate Identification using Optical Character Recognition 基于人脸识别与车牌光学字符识别相结合的穷尽安防系统
Pub Date : 2020-01-01 DOI: 10.22581/muet1982.2001.14
M. Y. Zaheen, Zia Mohi-u-din, Ali Akber Siddique, M. T. Qadri
In recent times due to rise in terrorism, people need to live in a safer place where unidentified persons will not be allowed to enter in the premises. Securing of major areas is a vital issue that needs to be addressed for the intelligence and security agencies. At the surrounding of premises, CCTV (CloseCircuit Television) cameras are usually installed to identify the number plate from database by using OCR (Optical Character Recognition) algorithm. This method of security by identifying only vehicle without verifying the person inside it is usually causing serious security issues. Identification of a person is usually done through image processing by using Viola Jones algorithm and acquire the information of the facial components to create a dataset for machine learning. It is imperative to introduce such a system that will be capable to identify the person along with the number plate of vehicle from the stored database. In this research, a comprehensive security system based on face recognition integrated with the vehicle number plate is proposed. The combined information of both dedicated cameras is then transferred to the based station for identification. This system is capable, of securing premises from crime in a more enhanced way.
最近由于恐怖主义的增加,人们需要住在一个更安全的地方,不允许身份不明的人进入房屋。确保主要地区的安全是情报和安全机构需要解决的一个重要问题。在楼宇周围通常安装闭路电视(CCTV)摄像机,利用OCR(光学字符识别)算法从数据库中识别车牌。这种只识别车辆而不验证车内人员的安全方法通常会导致严重的安全问题。对人的识别通常是通过使用Viola Jones算法对图像进行处理,获取面部成分的信息,创建一个数据集用于机器学习。引入这样一个能够从存储的数据库中识别人和车辆号牌的系统是势在必行的。在本研究中,提出了一种基于人脸识别和车牌集成的综合安全系统。然后将两个专用摄像机的组合信息传输到基站进行识别。这个系统能够以更强的方式保护房屋免受犯罪。
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引用次数: 3
Conformal and Disformal Structure of 3D Circularly Symmetric Static Metric in f(R) Theory of Gravity 重力f(R)理论中三维圆对称静态度量的保形和畸变结构
Pub Date : 2020-01-01 DOI: 10.22581/muet1982.2001.11
M. Ramzan, Murtaza Ali, F. Hussain
Conformal vector fields are treated as generalization of homothetic vector fields while disformal vector fields are defined through disformal transformations which are generalization of conformal transformations, therefore it is important to study conformal and disformal vector fields. In this paper, conformal and disformal structure of 3D (Three Dimensional) circularly symmetric static metric is discussed in the framework of f(R) theory of gravity. The purpose of this paper is twofold. Firstly, we have found some dust matter solutions of EFEs (Einstein Field Equations) by considering 3D circularly symmetric static metric in the f(R) theory of gravity. Secondly, we have found CKVFs (Conformal Killing Vector Fields) and DKVFs (Disformal Killing Vector Fields) of the obtained solutions by means of some algebraic and direct integration techniques. A metric version of f(R) theory of gravity is used to explore the solutions and dust matter as a source of energy momentum tensor. This study reveals that no proper DVFs exists. Here, DVFs for the solutions under consideration are either HVFs (Homothetic Vector Fields) or KVFs (Killing Vector Fields) in the f(R) theory of gravity. In this study, two cases have been discussed. In the first case, both CKVFs and DKVFs become HVFs with dimension three. In the second case, there exists two subcases. In the first subcase, DKVFs become HVFs with dimension seven. In the second subcase, CKVFs and DKVFs become KVFs having dimension four.
共形矢量场是同调矢量场的推广,而畸变矢量场是通过畸变变换定义的,畸变变换是共形变换的推广,因此对共形矢量场和畸变矢量场的研究具有重要意义。本文在重力f(R)理论的框架下讨论了三维圆对称静态度量的共形和畸变结构。本文的目的是双重的。首先,我们在f(R)引力理论中考虑三维圆对称静态度量,得到了爱因斯坦场方程的一些尘埃物质解。其次,利用一些代数和直接积分技术,我们得到了解的共形杀伤向量场(CKVFs)和畸变杀伤向量场(DKVFs)。使用度量版本的f(R)引力理论来探索解和尘埃物质作为能量动量张量的来源。本研究表明不存在合适的dvf。在这里,所考虑的解的dvf是重力f(R)理论中的HVFs(同调向量场)或KVFs(消灭向量场)。在本研究中,讨论了两个案例。在第一种情况下,CKVFs和DKVFs都成为三维的HVFs。在第二种情况下,存在两个子情况。在第一个子情形中,dkvf变成了7维的hvf。在第二个子情形中,ckvf和dkvf成为具有四维的kvf。
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Day 2 Tue, January 14, 2020
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