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1

Richardson, J. G., J. B. Sangree, and R. M. Sneider. "Coning." Journal of Petroleum Technology 39, no. 08 (August 1, 1987): 883–84. http://dx.doi.org/10.2118/15787-pa.

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2

Farmen, Jonn-Erik, Geri Wagner, Unni Oxaal, Paul Meakin, Jens Feder, and Torstein Jøssang. "Dynamics of water coning." Physical Review E 60, no. 4 (October 1, 1999): 4244–51. http://dx.doi.org/10.1103/physreve.60.4244.

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3

Tang, Chuanye, and Xiyuan Chen. "Constrained Coning Correction Algorithms." Journal of Aerospace Engineering 31, no. 4 (July 2018): 04018029. http://dx.doi.org/10.1061/(asce)as.1943-5525.0000844.

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4

Jiang, Y. F., and Y. P. Lin. "Improved strapdown coning algorithms." IEEE Transactions on Aerospace and Electronic Systems 28, no. 2 (April 1992): 484–90. http://dx.doi.org/10.1109/7.144574.

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5

Wang, Rong, Kui Zhang, Yong Gang Duan, and Ting Kuan Cao. "Evaluating Water Coning Control for Horizontal Well in Bottom-Water Sandstone Reservoirs by Numerical Method." Advanced Materials Research 524-527 (May 2012): 292–96. http://dx.doi.org/10.4028/www.scientific.net/amr.524-527.292.

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Horizontal well is the main technology to develop bottom-water sandstone reservoirs. Water coning has a significant influence on development effect, and shut-in coning control is one of coning suppression methods. Based on the geological model of a given oilfield, this paper has made an evaluation of water coning control by numerical simulation. It can be concluded that the method of shut-in coning control is effective for low water cut wells. When shutting in, the lower the water cut is, the greater decline extent of water cut can be obtained and the higher cumulative oil production can be achieved after well reopening. The longer the close time is, the better water coning control effect can be acquired, however it will affect oil production undoubtly. When horizontal well enters into high water cut stage, shut-in coning control not only has almost no effect, but also has a negative impact on the normal oil production.
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6

Schulze, Bernd, and Walter Whiteley. "Coning, Symmetry and Spherical Frameworks." Discrete & Computational Geometry 48, no. 3 (May 4, 2012): 622–57. http://dx.doi.org/10.1007/s00454-012-9427-3.

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7

Gunning, James, Lincoln Paterson, and Boris Poliak. "Coning in dual completed systems." Journal of Petroleum Science and Engineering 23, no. 1 (May 1999): 27–39. http://dx.doi.org/10.1016/s0920-4105(99)00006-6.

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8

Obaro, S. K. "Avoiding coning in childhood meningitis." BMJ 306, no. 6893 (June 19, 1993): 1691–92. http://dx.doi.org/10.1136/bmj.306.6893.1691-c.

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9

Pulec, Jack L. "Cerumen and Coning Candle Chicanery." Ear, Nose & Throat Journal 75, no. 9 (September 1996): 574. http://dx.doi.org/10.1177/014556139607500901.

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10

Platus, D. H. "Missile and spacecraft coning instabilities." Journal of Guidance, Control, and Dynamics 17, no. 5 (September 1994): 1011–18. http://dx.doi.org/10.2514/3.21303.

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11

Higuchi, Mizuki, Katsuhide Terada, and Kiyohiko Sugano. "Coning phenomena under laminar flow." European Journal of Pharmaceutical Sciences 80 (December 2015): 53–55. http://dx.doi.org/10.1016/j.ejps.2015.08.004.

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12

Veliyev, E. F. "Prediction methods for coning process." Azerbaijan Oil Industry, no. 3 (March 15, 2021): 18–25. http://dx.doi.org/10.37474/0365-8554/2021-3-18-25.

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Currently, the percentage of the mature fields steadily rise and the process of formation of water and gas cones becomes unavoidable. The prediction of this process is essential for successful field development. Correlation dependencies developed for this purpose can be divided into three main groups. The models in the first group are based on the analytical approach of definition of balance conditions for viscous and gravitational powers in the reservoir. The methods in the second group are based on empiric approach, i.e. on the data obtained as a result of laboratory experiments or computer modeling. The methods in the third group are based on numerical approach. The paper presents the analysis and classification of modern methods for prediction of coning process.
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13

Ali, Frzan F., Maha R. Hamoudi, and Akram H. Abdul Wahab. "Comparison Between Homogenous and Heterogeneous Reservoirs: A Parametric Study of Water Coning Phenomena." UKH Journal of Science and Engineering 5, no. 1 (June 30, 2021): 119–31. http://dx.doi.org/10.25079/ukhjse.v5n1y2021.pp119-131.

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Water coning is the biggest production problem mechanism in Middle East oil fields, especially in the Kurdistan Region of Iraq. When water production starts to increase, the costs of operations increase. Water production from the coning phenomena results in a reduction in recovery factor from the reservoir. Understanding the key factors impacting this problem can lead to the implementation of efficient methods to prevent and mitigate water coning. The rate of success of any method relies mainly on the ability to identify the mechanism causing the water coning. This is because several reservoir parameters can affect water coning in both homogenous and heterogeneous reservoirs. The objective of this research is to identify the parameters contributing to water coning in both homogenous and heterogeneous reservoirs. A simulation model was created to demonstrate water coning in a single- vertical well in a radial cross-section model in a commercial reservoir simulator. The sensitivity analysis was conducted on a variety of properties separately for both homogenous and heterogeneous reservoirs. The results were categorized by time to water breakthrough, oil production rate and water oil ratio. The results of the simulation work led to a number of conclusions. Firstly, production rate, perforation interval thickness and perforation depth are the most effective parameters on water coning. Secondly, time of water breakthrough is not an adequate indicator on the economic performance of the well, as the water cut is also important. Thirdly, natural fractures have significant contribution on water coning, which leads to less oil production at the end of production time when compared to a conventional reservoir with similar properties.
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14

Tang, Chuanye, Long Chen, and Jianfeng Chen. "Improvement to classical coning algorithms in maneuver performance based on a match correction structure." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 233, no. 7 (June 12, 2018): 2478–88. http://dx.doi.org/10.1177/0954410018781967.

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An improved class of coning algorithms is presented to promote the maneuver performance of attitude updating of strapdown inertial navigation system. The improved coning algorithm is based on the match correction structure which can be designed through revising the previous half-compressed correction structure. The improved algorithm coefficient is designed from the existing compressed algorithm according to a given relationship. In order to analyze and evaluate algorithm performance under maneuver environments, two algorithm error models are defined. Compared with the classical compressed coning algorithm, the improved coning algorithm of the corresponding version has the same algorithm throughput and coning accuracy but has higher maneuver accuracy. Especially, the improved four-sample algorithm has about two times of maneuver accuracy compared with its classical compressed version.
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15

Routh, Bikash, Rathindranath Maiti, and Asok Kumar Ray. "Analysis of coning and lubrication at flexspline cup and cam interface in conventional harmonic drives." Industrial Lubrication and Tribology 69, no. 6 (November 13, 2017): 817–27. http://dx.doi.org/10.1108/ilt-07-2016-0150.

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Purpose In a harmonic drive during assembly of its components like strain wave generating (SWG) cam, flexspline (FS) and circular spline, a gap is formed between the cam’s outer surface and the FS cup inner surface due to mismatching. This gap, which is known as “Coning”, plays a vital role in the flow of lubricant at that interface. This paper aims to analyse the coning phenomenon and the lubrication mechanism. Design/methodology/approach In the present investigation, the geometry of the coning gap and its variation with the SWG cam rotation are established. Essentially, the deflection of FS cup and deformation of SWG cam (bearing outer race) are derived to find the gap due to coning. Next, the hydrodynamic lubrication equation is solved to get pressure profiles for this gap under suitable boundary conditions assuming non-Newtonian lubrication. Findings Methods of estimating the coning gap and lubrication pressure profiles are established. Effects of non-Newtonian terms (coupling number and non-dimentionalized characteristic length) and SWG length (finite, long and short) on pressure profiles are also shown. All analyses are done in non-dimensionalized form. Originality/value Establishing the geometry of coning and non-Newtonian hydrodynamic lubrication aspects in the coning in the FS cup and SWG cam interface are the originality of the present investigation.
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16

Sun, Zhenye, Weijun Zhu, Wenzhong Shen, Qiuhan Tao, Jiufa Cao, and Xiaochuan Li. "Numerical Simulations of Novel Conning Designs for Future Super-Large Wind Turbines." Applied Sciences 11, no. 1 (December 25, 2020): 147. http://dx.doi.org/10.3390/app11010147.

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In order to develop super-large wind turbines, new concepts, such as downwind load-alignment, are required. Additionally, segmented blade concepts are under investigation. As a simple example, the coned rotor needs be investigated. In this paper, different conning configurations, including special cones with three segments, are simulated and analyzed based on the DTU-10 MW reference rotor. It was found that the different force distributions of upwind and downwind coned configurations agreed well with the distributions of angle of attack, which were affected by the blade tip position and the cone angle. With the upstream coning of the blade tip, the blade sections suffered from stronger axial induction and a lower angle of attack. The downstream coning of the blade tip led to reverse variations. The cone angle determined the velocity and force projecting process from the axial to the normal direction, which also influenced the angle of attack and force, provided that correct inflow velocity decomposition occurred.
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17

Trevena, Judy A., Kris D. Rogers, Louisa R. Jorm, Tim Churches, and Bruce Armstrong. "Quantifying under-reporting of pathology tests in Medical Benefits Schedule claims data." Australian Health Review 37, no. 5 (2013): 649. http://dx.doi.org/10.1071/ah13092.

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Objective We investigated the completeness of recording of pathology tests in Australian Medical Benefits Schedule (MBS) claims data, using the example of the prostate-specific antigen (PSA) test. With some exceptions, MBS claims data records only the three most expensive pathology items in an episode of care, and this practice (‘episode coning’) means that pathology tests can be under-recorded. Methods The analysis used MBS data for male participants in the 45 and Up Study. The number and cost of items in each episode of care were used to determine whether an episode contained a PSA screening test (Item 66655), or could have lacked a record of this item because of episode coning. Results MBS data for 1 070 392 episodes involving a request for a pathology test for 118 074 men were analysed. Of these episodes, 11% contained a request for a PSA test; a further 7.5% may have been missing a PSA request that was not recorded because of episode coning. Conclusions It is important to consider under-reporting of pathology tests as a result of episode coning when interpreting MBS claims data. Episode coning creates uncertainty about whether a person has received any given pathology test. The extent of this uncertainty can be estimated by determining the proportion of episodes in which the test may have been performed but was not recorded due to episode coning. What is known about the topic? Medical Benefits Schedule (MBS) claims data are a key resource for Australian health researchers. What does this paper add? We investigated a feature of MBS claims data known as episode coning, which may cause some pathology tests to be under-reported. Using the example of requests for PSA tests, we estimated the uncertainty in the amount of use of PSA tests introduced by episode coning. What are the implications for practitioners? Researchers using MBS data to identify use of specific pathology tests need to be aware of under-reporting caused by episode coning, and to estimate and report the uncertainty that this introduces into their findings.
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18

Tang, Chuanye, and Xiyuan Chen. "A Generalized Coning Correction Structure for Attitude Algorithms." Mathematical Problems in Engineering 2014 (2014): 1–15. http://dx.doi.org/10.1155/2014/614378.

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A new coning correction structure is presented for attitude update coning correction. Different from the previous rate-based and increment-based coning correction structures, the new structure contains cross-product of angular rates, cross-product of angular increments, and cross-product of angular rate and increment (an angular increment may be approximated from angular rate samples). Two types of optimization methods including time Taylor-series method and frequency Taylor-series method were utilized to design the structure coefficients including the uncompressed and the compressed. Two types of algorithm error models including one applicable to coning environments and the other two applicable to maneuver environments were defined and used for analyzing or evaluating the algorithm performance. The derivation procedure of a rotation vector magnitude extraction method is included. Analysis and simulation results indicate that the new structure-based algorithm with the compressed coefficients designed by using frequency Taylor-series method gives a superior algorithm performance in coning environments and maneuver environments.
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19

Emara, Ramadan. "WATER CONING CORRELATIONS IN VERTICAL WELLS." Journal of Al-Azhar University Engineering Sector 12, no. 42 (January 1, 2017): 213–22. http://dx.doi.org/10.21608/auej.2017.19301.

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20

Ericsson, L. E. "Prediction of slender body coning characteristics." Journal of Spacecraft and Rockets 28, no. 1 (January 1991): 43–49. http://dx.doi.org/10.2514/3.26207.

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21

Connelly, R., and W. J. Whiteley. "Global Rigidity: The Effect of Coning." Discrete & Computational Geometry 43, no. 4 (August 28, 2009): 717–35. http://dx.doi.org/10.1007/s00454-009-9220-0.

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22

Fu, Li, Lingling Wang, and Jianghai Hu. "Coning algorithm based on singular perturbation." Aircraft Engineering and Aerospace Technology 85, no. 3 (May 3, 2013): 178–85. http://dx.doi.org/10.1108/00022661311313614.

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23

Blakley, Brian W. "Coning Candles — An Alert for Otolaryngologists?" Ear, Nose & Throat Journal 75, no. 9 (September 1996): 585–88. http://dx.doi.org/10.1177/014556139607500906.

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24

Tang, Jian-Gang, Zharasbek D. Baishemirov, and Bakhbergen E. Bekbauov. "Preventing water coning by polymer flooding." International Journal of Academic Research 4, no. 6 (November 30, 2012): 292–301. http://dx.doi.org/10.7813/2075-4124.2012/4-6/a.42.

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25

Werner, Adrian D., Danica Jakovovic, and Craig T. Simmons. "Experimental observations of saltwater up-coning." Journal of Hydrology 373, no. 1-2 (June 2009): 230–41. http://dx.doi.org/10.1016/j.jhydrol.2009.05.004.

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26

Pietraru, V. "Méthode analytique généralisée pour le calcul du coning. Nouvelle solution pour calculer le coning de gaz, d'eau et double coning dans les puits verticaux et horizontaux." Revue de l'Institut Français du Pétrole 51, no. 4 (July 1996): 527–58. http://dx.doi.org/10.2516/ogst:1996036.

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27

Shi, Zhongjiao, and Liangyu Zhao. "Effects of aeroelasticity on coning motion of a spinning missile." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 230, no. 14 (August 6, 2016): 2581–95. http://dx.doi.org/10.1177/0954410016629501.

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The coning motion is a basic angular behavior of spinning missiles. Research on the stability of coning motion is always active. In this paper, the integrated nonlinear governing equations of rigid-elastic angular motion for a spinning missile with high fineness ratio are derived firstly following the Lagrangian approach. Secondly, a set of linear equation is obtained under some assumptions considering the first order vibration mode in the form of complex summation for theoretical analysis. Finally, the sufficient and necessary conditions of coning motion dynamic stability for spinning missile with and without an acceleration autopilot are analytically derived and verified by numerical simulations based on the linear equation. It is concluded that the aeroelasticity can shrink the stable region of the design parameters, even lead to a divergent coning motion.
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28

Zhang, Shuang-biao, Xing-cheng Li, and Zhong Su. "Cone Algorithm of Spinning Vehicles under Dynamic Coning Environment." International Journal of Aerospace Engineering 2015 (2015): 1–11. http://dx.doi.org/10.1155/2015/904913.

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Due to the fact that attitude error of vehicles has an intense trend of divergence when vehicles undergo worsening coning environment, in this paper, the model of dynamic coning environment is derived firstly. Then, through investigation of the effect on Euler attitude algorithm for the equivalency of traditional attitude algorithm, it is found that attitude error is actually the roll angle error including drifting error and oscillating error, which is induced directly by dynamic coning environment and further affects the pitch angle and yaw angle through transferring. Based on definition of the cone frame and cone attitude, a cone algorithm is proposed by rotation relationship to calculate cone attitude, and the relationship between cone attitude and Euler attitude of spinning vehicle is established. Through numerical simulations with different conditions of dynamic coning environment, it is shown that the induced error of Euler attitude fluctuates by the variation of precession and nutation, especially by that of nutation, and the oscillating frequency of roll angle error is twice that of pitch angle error and yaw angle error. In addition, the rotation angle is more competent to describe the spinning process of vehicles under coning environment than Euler angle gamma, and the real pitch angle and yaw angle are calculated finally.
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29

Baderestani, Hossein, Heshmat Amirzadeh, and Javad Banavi. "The Field Scale Investigation of Water Coning Phenomenon." Applied Mechanics and Materials 157-158 (February 2012): 319–22. http://dx.doi.org/10.4028/www.scientific.net/amm.157-158.319.

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The study of water coning phenomenon has gained wide interest in petroleum industry during the last few decades and poses a challenge for hydrocarbon production. The simultaneous production of water and oil causes lots of negative effects on the reservoir performance such as significant reduction in oil recovery, corrosion, the cost of oil and water separation, environmental pollutions, and etc. Hence investigation of water coning and finding some solutions seems highly noticeable. For that, we model one of the Norwegian reservoirs which encounters water coning problem by using a black oil simulator. Additionally, since it is not well-matched with its observation data, by the use of SimOpt software, a reasonable match between the simulated and observed data were achieved. After achieving a reasonable match between the observed and simulated data in SimOpt, by the use of ECLIPSE 100 software various scenarios are investigated. Controlling the oil production rate, controlling the field water cut, and the effect of different well completions are different factors whose influences over the water coning phenomenon are examined. Finally, the following solutions are suggested: the varied production rate, field water cut in the range of 0.1 to 0.2, and the open-hole completion.
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30

Savage, Paul G. "Coning Algorithm Design by Explicit Frequency Shaping." Journal of Guidance, Control, and Dynamics 33, no. 4 (July 2010): 1123–32. http://dx.doi.org/10.2514/1.47337.

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31

Ignagni, M. B. "Efficient class of optimized coning compensation algorithms." Journal of Guidance, Control, and Dynamics 19, no. 2 (March 1996): 424–29. http://dx.doi.org/10.2514/3.21635.

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32

Shan, Wu Yi, and Xue Zhang. "The Research for Delaying the Bottom Water Coning in Horizontal Wells Application Balance Screen Pipe." Advanced Materials Research 734-737 (August 2013): 1480–83. http://dx.doi.org/10.4028/www.scientific.net/amr.734-737.1480.

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When horizontal wells are used to exploit reservoir with bottom water, oil wells water breakthrough prematurely due to water coning, water-free oil recovery is reduced. The reason of the formation of horizontal well water cone is analyzed. Then analysis of the mechanism using balanced screen pipe to inhibit bottom water coning in horizontal well is completed. According to the existing screen pipe size, screen configuration is optimized. Horizontal section pressure distribution is controlled by the balanced screen pipe, and then flow of horizontal well sections is adjusted. Bottom water coning speed of all well sections is controlled. An example is calculated by the software which established and the result shows that optimization method can improve water-free oil recovery.
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33

Savage, Paul G. "Explicit Frequency-Shaped Coning Algorithms For Pseudoconing Environments." Journal of Guidance, Control, and Dynamics 34, no. 3 (May 2011): 774–82. http://dx.doi.org/10.2514/1.51600.

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34

Park, Jong-Yong, Nakwan Kim, Key-Pyo Rhee, Hyeon Kyu Yoon, Chanki Kim, Chulmin Jung, Kyoungsoo Ahn, and Sungkyun Lee. "Study on Coning Motion Test for Submerged Body." Journal of Ocean Engineering and Technology 29, no. 6 (December 31, 2015): 436–44. http://dx.doi.org/10.5574/ksoe.2015.29.6.436.

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35

Urbanczyk, C. H., and R. A. Wattenbarger. "Optimization of Well Rates Under Gas Coning Conditions." SPE Advanced Technology Series 2, no. 02 (April 1, 1994): 61–68. http://dx.doi.org/10.2118/21677-pa.

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36

Ould-amer, Y., S. Chikh, and H. Naji. "Attenuation of water coning using dual completion technology." Journal of Petroleum Science and Engineering 45, no. 1-2 (November 2004): 109–22. http://dx.doi.org/10.1016/j.petrol.2004.04.004.

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37

Hasan, Agus, Bjarne Foss, and Svein Sagatun. "Optimization of oil production under gas coning conditions." Journal of Petroleum Science and Engineering 105 (May 2013): 26–33. http://dx.doi.org/10.1016/j.petrol.2013.03.020.

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38

Safari, Mehdi, and Mohammad Javad Ameri. "Reservoir Control and Identification: Motivated by Water Coning." IOP Conference Series: Materials Science and Engineering 495 (June 7, 2019): 012079. http://dx.doi.org/10.1088/1757-899x/495/1/012079.

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39

Mao, Xuerui, and Shuxing Yang. "Optimal Control of Coning Motion of Spinning Missiles." Journal of Aerospace Engineering 28, no. 2 (March 2015): 04014068. http://dx.doi.org/10.1061/(asce)as.1943-5525.0000398.

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40

Jolley, W. H., J. F. Hooper, P. R. Hilton, and W. A. Bradfield. "Studies on coning in end-burning rocket motors." Journal of Propulsion and Power 2, no. 3 (May 1986): 223–27. http://dx.doi.org/10.2514/3.22873.

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41

Bruining, J., C. J. Van Duijn, and R. J. Schotting. "Simulation of coning in bottom water-driven reservoirs." Transport in Porous Media 6, no. 1 (February 1991): 35–69. http://dx.doi.org/10.1007/bf00136821.

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42

Meyer, R. X. "Coning instability of spacecraft during periods of thrust." Journal of Spacecraft and Rockets 33, no. 6 (November 1996): 781–88. http://dx.doi.org/10.2514/3.26838.

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43

Chen, Xiyuan, and Chuanye Tang. "Improved class of angular rate-based coning algorithms." IEEE Transactions on Aerospace and Electronic Systems 52, no. 5 (October 2016): 2220–29. http://dx.doi.org/10.1109/taes.2016.150450.

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44

Zhang, H., D. A. Barry, and G. C. Hocking. "Comment on “Experimental observations of saltwater up-coning”." Journal of Hydrology 422-423 (February 2012): 81–83. http://dx.doi.org/10.1016/j.jhydrol.2011.10.012.

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45

Mao, XueRui, ShuXing Yang, and Yong Xu. "Coning motion stability of wrap around fin rockets." Science in China Series E: Technological Sciences 50, no. 3 (June 2007): 343–50. http://dx.doi.org/10.1007/s11431-007-0026-0.

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46

Tang, Chuanye, Long Chen, and Jianfeng Chen. "Efficient coning algorithm design from a bilateral structure." Aerospace Science and Technology 79 (August 2018): 48–57. http://dx.doi.org/10.1016/j.ast.2018.05.027.

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47

Xiong, Lijuan, Hongtao Zhu, Weijun Wu, and Bo Zhou. "A new attitude integration algorithm for coning environment." Advances in Space Research 64, no. 11 (December 2019): 2379–89. http://dx.doi.org/10.1016/j.asr.2019.08.034.

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48

Frost, Geoffrey, and Mark Costello. "Simulation of a Mortar Launched, Parachute Deployed Battlefield Imaging System." Journal of Dynamic Systems, Measurement, and Control 126, no. 3 (September 1, 2004): 583–94. http://dx.doi.org/10.1115/1.1789974.

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Flight behavior of a mortar launched, parachute deployed imaging system is examined with particular attention to characterizing the quantity and quality of recorded image data. Coverage area of the imager, blur due to motion of the imager, and view time are evaluated for different system configurations allowing important design parameters to be identified. It is shown that proper tailoring of the dynamic characteristics of the system greatly improves gathered image data quantity and quality. Coning of the canister is an important system characteristic that largely drives total ground coverage. Canister coning is influenced in a complex manner by system geometric parameters. Mounting the parachute riser to the canister in such a way that the connection is off the axis of symmetry of the canister is a powerful technique to increase coning of the canister. Likewise, increasing riser length also yields increased coning. Increasing spin rate of the canister leads to a proportional increase in image blur, which is largest toward the edge of the image. Also, increased canister weight tends to increase the descent rate, which reduces total view time. At the same time, increased descent rate increases the spin rate for cross type parachutes, leading to increased image blur.
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Li, Yahui, Haitao Li, and Ying Li. "Prediction Method of Bottom Water Coning Profile and Water Breakthrough Time in Bottom Water Reservoir without Barrier." Mathematical Problems in Engineering 2015 (2015): 1–6. http://dx.doi.org/10.1155/2015/149490.

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During the exploitation of bottom water oil reservoir, bottom water coning influences the breakthrough of bottom water significantly. Because water cut rises quickly after the breakthrough of bottom water, measures should be taken before the breakthrough to postpone production period without water, thus improving oil recovery. So accurate prediction of water coning profile and breakthrough time is very essential. Through mathematical derivation, this paper proposed a prediction method of bottom water coning profile and bottom water breakthrough time in bottom water reservoir without barrier. Based on theory of fluids flow in porous media, this paper assumes that the flow models are plane radial flow in opened intervals and spherical radial flow in unopened intervals. Further, factors of fluid viscosity, irreducible water saturation, residual oil saturation, and oil-water contact (OWC) movement are also taken into account. Compared with other prediction equations, this method achieves more precise bottom water breakthrough time, and the relative deviation is only 1.14 percent.
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Ignagni, Mario. "Optimal Sculling and Coning Algorithms for Analog-Sensor Systems." Journal of Guidance, Control, and Dynamics 35, no. 3 (May 2012): 851–60. http://dx.doi.org/10.2514/1.55540.

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