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Research on casing deformation prevention technology based on cementing slurry system optimization
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作者 Yan Yan Meng Cai +3 位作者 Wen-Hai Ma Xiao-Chuan Zhang Li-Hong Han Yong-Hong Liu 《Petroleum Science》 SCIE EI CAS CSCD 2024年第2期1231-1240,共10页
The casing deformation prevention technology based on the optimization of cement slurry is proposed to reduce the casing deformation of shale oil and gas wells during hydraulic fracturing. In this paper, the fracture ... The casing deformation prevention technology based on the optimization of cement slurry is proposed to reduce the casing deformation of shale oil and gas wells during hydraulic fracturing. In this paper, the fracture mechanism of hollow particles in cement sheath was firstly analyzed by discrete element method, and the effect of hollow particles in cement on casing deformation was investigated by laboratory experiment method. Finally, field test was carried out to verify the improvement effect of the casing deformation based on cement slurry modification. The results show that the formation displacement can be absorbed effectively by hollow particles inside the cement transferring the excessive deformation away from casing. The particles in the uncemented state provide deformation space during formation slipping. The casing with diameter of 139.7 mm could be passed through by bridge plug with the diameter of 99 mm when the mass ratio of particle/cement reaches 1:4. According to the field test feedback, the method based on optimization of cement slurry can effectively reduce the risk of casing deformation, and the recommended range of hollow microbeads content in the cement slurry is between 15% and 25%. 展开更多
关键词 Cement slurry Hollow ceramsite Casing deformation Formation slip Field test
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An unequal fracturing stage spacing optimization model for hydraulic fracturing that considers cementing interface integrity 被引量:2
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作者 Xu Han Fu-Ping Feng +5 位作者 Xiao-Chuan Zhang Jing Cao Jun Zhang Yu Suo Yan Yan Mao-Sen Yan 《Petroleum Science》 SCIE EI CAS CSCD 2023年第4期2165-2186,共22页
Determining reasonable fracturing stage spacing is the key to horizontal well fracturing.Different from traditional stage spacing optimization methods based on the principle of maximum stimulated reservoir volume,in t... Determining reasonable fracturing stage spacing is the key to horizontal well fracturing.Different from traditional stage spacing optimization methods based on the principle of maximum stimulated reservoir volume,in this paper,by considering the integrity of the wellbore interface,a fracture propagation model was established based on displacement discontinuity method and the competition mechanism of multifracture joint expansion,leading to the proposal of an unequal stage spacing optimization model.The results show that in the first stage,the interfacial fractures spread symmetrically along the axis of the central point during that stage,while in the second and subsequent stages,the interfacial fractures of each cluster extend asymmetrically along the left and right sides.There are two kinds of interface connectivity behaviour:in one,the existing fractures first extend and connect within the stage,and in the other,the fractures first extend in the direction close to the previous stage,with the specific behaviour depending on the combined effect of stress shadow and flow competition during hydraulic fracture expansion.The stage spacing is positively correlated with the number of fractures and Young’s modulus of the cement and formation and is negatively correlated with the cluster spacing and horizontal principal stress difference.The sensitivity is the strongest when the Young’s modulus of the cement sheath is 10-20 GPa,and the sensitivity of the horizontal principal stress difference is the weakest. 展开更多
关键词 Hydraulic fracturing cementing interface Fracture propagation Fracturing stage spacing Wellbore integrity
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A Cementing Technology for Shale Oil Horizontal Wells 被引量:2
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作者 Yudong Tian Gonghui Liu +6 位作者 Yue Qi Jun Li Yan Xi Wei Lian Xiaojie Bai Penglin Liu Xiaoguang Geng 《Fluid Dynamics & Materials Processing》 EI 2023年第11期2837-2845,共9页
Organic rich dark shale of Q Formation can be found in many areas(e.g.,in the North of S Basin).The shale target stratum is easy to hydrate and often undergoes spallation.Therefore,centering the casing in the horizont... Organic rich dark shale of Q Formation can be found in many areas(e.g.,in the North of S Basin).The shale target stratum is easy to hydrate and often undergoes spallation.Therefore,centering the casing in the horizontal section of the irregular borehole is relatively difficult.Similarly,achieving a good cementflushing efficiency under complex borehole conditions is a complex task.Through technologies such as centralizer,efficient preflushing,multi-stageflushing and ductile cement slurry,better performances can be achieved.In this study,it is shown that the cementing rate in the DY2H horizontal section is 97.8%,which is more than 34%higher than that of adjacent wells.This cementing matching technology for sidetracking horizontal wells can be used to improve the cementing quality of continental shale and provides a reference for future applications in thisfield. 展开更多
关键词 Shale oil sidetracking horizontal well tough cement slurry cementing technology
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Acoustic evaluation of cementing quality using obliquely incident ultrasonic signals 被引量:2
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作者 段文星 乔文孝 +1 位作者 车小花 解辉 《Applied Geophysics》 SCIE CSCD 2014年第3期269-276,350,共9页
Ultrasonic cement bond logging is a widely used method for evaluating cementing quality. Conventional ultrasonic cement bond logging uses vertical incidence and cannot accurately evaluate lightweight cement bonding. O... Ultrasonic cement bond logging is a widely used method for evaluating cementing quality. Conventional ultrasonic cement bond logging uses vertical incidence and cannot accurately evaluate lightweight cement bonding. Oblique incidence is a new technology for evaluating cement quality with improved accuracy for lightweight cements. In this study, we simulated models of acoustic impedance of cement and cementing quality using ultrasonic oblique incidence, and we obtained the relation between cementing quality, acoustic impedance of cement, and the acoustic attenuation coeffi cient of the A0-mode and S0-mode Lamb waves. Then, we simulated models of different cement thickness and we obtained the relation between cement thickness and the time difference of the arrival between the A0 and A0′ modes. 展开更多
关键词 ULTRASONIC oblique incidence Lamb waves cementing evaluation
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COST REDUCTION OF CEMENTING FILL IN KANGJIAWAN MINE 被引量:1
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作者 Wang, Xinmin Zhang, Qinli +1 位作者 Chen, Changmin Li, Yanping 《中国有色金属学会会刊:英文版》 EI CSCD 1997年第1期6-8,共3页
COSTREDUCTIONOFCEMENTINGFILLINKANGJIAWANMINEWangXinmin,ZhangQinliDepartmentofResourcesExploitationEnginering... COSTREDUCTIONOFCEMENTINGFILLINKANGJIAWANMINEWangXinmin,ZhangQinliDepartmentofResourcesExploitationEnginering,CentralSouthUniv... 展开更多
关键词 FILL COST CEMENT consumption continuous FILLING time cementing ROCKFILL
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Optimization of the Content of Tricalcium Silicate of High Cementing Clinker 被引量:2
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作者 陈琳 沈晓冬 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2011年第3期578-582,共5页
Optimization of the content of tricalcium silicate(C 3 S)of high cementing clinker was investigated.The content of free-CaO(f-CaO),mineral composite,the content of C 3 S in the clinker and the hydration product we... Optimization of the content of tricalcium silicate(C 3 S)of high cementing clinker was investigated.The content of free-CaO(f-CaO),mineral composite,the content of C 3 S in the clinker and the hydration product were analyzed by chemical analysis and X-ray diffraction(XRD)."K Value"method of QXRD was selected as a quantitative analysis way to measure the content of C 3 S,and the strength of cement paste was determined.The results show that at a water cement ratio of 0.29,the strength of cement paste with 73%C 3 S can be up to 97.5 MPa at 28 days age.The strength at 28 d of cement with 73%C 3 S is 16%higher than that with 78%C 3 S at water requirement for normal consistency.The relationship between the strength of high cementing Portland cement and the content of C 3 S in the clinker is nonlinear.According to the strength of cement paste,the optimal content of C 3 S in cement clinker is around 73%in this paper. 展开更多
关键词 optimization tricalcium silicate high cementing clinker cement paste
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Challenges and Methods to Improve Well Cementing Quality for 177.8 mm Liner in Gaoshiti-Moxi Area
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作者 Bin Li Jianhua Guo +2 位作者 Quan Cao Chi Chen Lin Hu 《Journal of Power and Energy Engineering》 2018年第9期1-8,共8页
Gaoshiti-Moxi structure belt of An-Yue Sinian gas reservoir, which was China’s largest monomer Marine carbonate gas reservoir up to now, located in vying-dragon female temple structure group that belong to the ancien... Gaoshiti-Moxi structure belt of An-Yue Sinian gas reservoir, which was China’s largest monomer Marine carbonate gas reservoir up to now, located in vying-dragon female temple structure group that belong to the ancient uplift slope of the middle of Sichuan. With the exploration and development of high temperature and high pressure carbonate reservoir, a large number of challenges and problems, such as long isolation section, active oil-gas show, large temperature difference, prone to super retarding cement slurry and gas channeling at flare position, have been encountered in the cementing of 177.8 mm hang-liner. In order to solve these problems, numerous measures and methods have been put into use for reducing the safety risk of cementing and improving cementing quality. The large temperature difference channeling cement slurry system, effective anti-pollution spacer and high-pressure packer type liner hanger were developed and applied for field tests in the early stage of development. In addition, equilibrium pressure cementing technology, optimizing of centralizer placement and plasma column structure, improvement of pump displacement and hold pressure while waiting on cement were used to ensure nice displacement efficiency and cementing quality. As Moxi X well for example, the cementing quality factor of merit was 40.29% and the qualification rate was up to 78.87% after adopting the cementing measures and methods above. The cementing quality was much higher than previous level and provided technical support for Gaoshiti-Moxi area. 展开更多
关键词 GM Area LINER cementing Long Isolation Section Large Temperature Difference Anti-Intrude Cement SLURRY
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Dynamic response of jetting and cementing bucket platform to wave and current loading
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作者 王虎 Wang Deyu 《High Technology Letters》 EI CAS 2006年第3期250-254,共5页
The jetting and cementing bucket platform (JCBP) is a new type offshore oil-drilling platform. This paper aims to establish an analysis method for calculating the dynamic response of this platform. Based on the theo... The jetting and cementing bucket platform (JCBP) is a new type offshore oil-drilling platform. This paper aims to establish an analysis method for calculating the dynamic response of this platform. Based on the theory of elastic half space, the dynamic stiffness and damping of the platform' s foundation were obtained and attached to the end of the platform' s main jackets as a boundary condition. Then using finite element method (FEM), the dynamic response of the platform due to wave and current loading was calculated. Furthermore, the whole platform' s finite element model was established and the dynamic response of the platform was calculated. The numerical results demonstrate that the present method by the usage of elastic half space theory and FEM is simple and it is reliable and efficient to calculate dynamic behavior of the platform in response to wave and current loading. 展开更多
关键词 jetting and cementing bucket platform finite element method (FEM) dynamic stiffness and damping theory of elastic half space
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A coupled model of temperature and pressure based on hydration kinetics during well cementing in deep water
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作者 WANG Xuerui SUN Baojiang +5 位作者 LIU Shujie LI Zhong LIU Zhengli WANG Zhiyuan LI Hao GAO Yonghai 《Petroleum Exploration and Development》 2020年第4期867-876,共10页
Considering the complicated interactions between temperature,pressure and hydration reaction of cement,a coupled model of temperature and pressure based on hydration kinetics during deep-water well cementing was estab... Considering the complicated interactions between temperature,pressure and hydration reaction of cement,a coupled model of temperature and pressure based on hydration kinetics during deep-water well cementing was established.The differential method was used to do the coupled numerical calculation,and the calculation results were compared with experimental and field data to verify the accuracy of the model.When the interactions between temperature,pressure and hydration reaction are considered,the calculation accuracy of the model proposed is within 5.6%,which can meet the engineering requirements.A series of numerical simulation was conducted to find out the variation pattern of temperature,pressure and hydration degree during the cement curing.The research results show that cement temperature increases dramatically as a result of the heat of cement hydration.With the development of cement gel strength,the pore pressure of cement slurry decreases gradually to even lower than the formation pressure,causing gas channeling;the transient temperature and pressure have an impact on the rate of cement hydration reaction,so cement slurry in the deeper part of wellbore has a higher rate of hydration rate as a result of the high temperature and pressure.For well cementing in deep water regions,the low temperature around seabed would slow the rate of cement hydration and thus prolong the cementing cycle. 展开更多
关键词 deep-water drilling well cementing hydration reaction kinetics temperature field pressure field coupled prediction model
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A Study of Laminar-cementing Displacement Model for Horizontal Well
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作者 Zheng Yonggang Hao Junfang(University of Petroleum,Dongying)(Southwest petroleum Institute,Nanchong) 《China Oil & Gas》 CAS 1996年第1期38-39,共2页
AStudyofLaminar-cementingDisplacementModelforHorizontalWellZhengYonggang;HaoJunfang(UniversityofPetroleum,Do... AStudyofLaminar-cementingDisplacementModelforHorizontalWellZhengYonggang;HaoJunfang(UniversityofPetroleum,Dongying)(Southwest... 展开更多
关键词 HORIZONTAL WELL cementing MODEL
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Microbial Monitoring and Mitigaiton in Cementing Operations
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作者 Abdulmohsen A.Al-Humam Abdalla M Ezzat +4 位作者 Abdulaziz A Ba Hamdan Mohammed E.Sindi Ghassan A.Al-Humaid Mohammed A.Subhi Xiangyang Zhu 《Journal of Physical Science and Application》 2021年第2期27-32,共6页
Microbial contamination and bacteria growth in the cementing makup water impact cementing operation and integrity.To avoid the premature cement setting caused by microbial growth,the water is usually treated with bioc... Microbial contamination and bacteria growth in the cementing makup water impact cementing operation and integrity.To avoid the premature cement setting caused by microbial growth,the water is usually treated with biocides for microbial control before mixing.This treatment will also prevent biodegradation of the added polymers and stabilize the slurry rheological properties.Make-up water and cementing mix samples were collected from active drilling rigs in the field.In 12 hours biocide addition program,the tested biocide at 50,100,250,and 500 ppm for cementing operations revealed acceptable control of both GAB and SRB numbers in one Field,but not in another Field.In 24 hours biocide addition program,revealed varying levels for control microbial contamination in cementing operations,with higher efficiency with Field B samples opposed to field A,and with better control at higher concentrations of tested biocide at 250,and 500 ppm.As a recommendation therefore,usage of another biocide with a different chemistry at Field A is encouraged once a new biocide is selected. 展开更多
关键词 cementing operations microbial contamination mitigaiton.
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Skid-mounted Cementing & Fracturing unit for Desert Oil Field Passing Appraisal
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《China Oil & Gas》 CAS 1998年第2期87-87,共1页
关键词 Fracturing unit for Desert Oil Field Passing Appraisal Skid-mounted cementing
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CNPC's New Progress in Well Cementing Techniques
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作者 Qi Fengzhong Liu Shuoqiong +2 位作者 Shen Jiyun Liu Zishuai Zhao Zhigang 《China Oil & Gas》 CAS 2013年第4期11-17,共7页
Well cementing is an important step in petroleum engineering territory. Through many years study and research, China Nation Petroleum Corporation(abbreviated as CNPC) has made many good progresses in cementing process... Well cementing is an important step in petroleum engineering territory. Through many years study and research, China Nation Petroleum Corporation(abbreviated as CNPC) has made many good progresses in cementing process, and a series of cementing materials, cementing tools, and associated cementing techniques to them have been developed. Over the recent years, there have been significant improvements in application of single slurry system to super deep well, horizontal well, large displacement well and wells with large temperature span between cementing top and well bottom. Favorable results have been gained in field application of super high density cement slurry system and super low density cement slurry system. Application of conventional cementing tools and accessories has been the matured techniques, and breakthroughs have been made in liner hanger and swellable material. 展开更多
关键词 CNPC’s New Progress in Well cementing Techniques WELL
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Cementing BRICS—A Case of Capital or Values?
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作者 Martyn Davies 《ChinAfrica》 2014年第8期18-19,共2页
AFTER the onset of the (Western) financial crisis of 2008, there has been a deep questioning of the free market ideology encapsulated by the phrase "Washington Consensus." At least this is the case in South Africa.
关键词 A Case of Capital or Values cementing BRICS
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Chemically induced changes in the geotechnical response of cementing paste backfill in shaking table test 被引量:4
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作者 Imad Alainachi Mamadou Fall 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2021年第3期513-528,共16页
Cemented paste backfill(CPB)is extensively used for underground mine support and/or tailings management.However,CPB behavior under cyclic loadings might be affected by the chemistry of its porewater,which often contai... Cemented paste backfill(CPB)is extensively used for underground mine support and/or tailings management.However,CPB behavior under cyclic loadings might be affected by the chemistry of its porewater,which often contains sulphate ions.Till today,no studies have addressed the effect of sulphate on the response of CPB to cyclic loadings by using shaking table technique.This study presents new findings of assessing the effect of the sulphate in the pore water of CPB on its geotechnical response to cyclic loading by using shaking table.CPB mixtures were prepared(with and without sulphate),poured into a flexible laminar shear box,cured to 4 h,and then exposed to cyclic loading using one-dimensional(1D)shaking table.Several parameters(e.g.pore water pressure,settlement,lateral deformation,acceleration,electrical conductivity,effective stress,and liquefaction susceptibility)were monitored or determined before,during,and after shaking.Obtained results indicate that the sulphate-bearing CPB cured to 4 h can be prone to liquefaction under the studied conditions.However,sulphate-free CPB samples are resistant to liquefaction.These results are expected to contribute to a better understanding of the effect of water chemistry on the cyclic behavior of CPB,consequently enhancing the cost-effective design of CPB structures. 展开更多
关键词 Cemented paste backfill(CPB) Liquefaction Shaking table Tailings Mine Sulphate
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Cementing properties of steel slag activated by sodium silicates and sodium hydroxide 被引量:3
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作者 Wen Ni En Wang Jianping Li Han Sun 《Journal of University of Science and Technology Beijing》 CSCD 2005年第5期464-468,共5页
Steel slag which is mainly composed of γ-Ca2SiO4 and other silicates or alumino-silicates is activated by sodium sificates and sodium hydroxide. The powders of such steel slag are usually inert to hydrate and subsequ... Steel slag which is mainly composed of γ-Ca2SiO4 and other silicates or alumino-silicates is activated by sodium sificates and sodium hydroxide. The powders of such steel slag are usually inert to hydrate and subsequently have very low ability of cementing. But when sodium silicates and sodium hydroxide are used as activators the steel slag shows very good properties of cementing. When activated with NaOH solution the hardened slurry of the steel slag has a compressive strength of 11.13 MPa after being cured for 28 days. When activated with Na2SiO3 solution the samples after being cured for 28 days have an average compres- sive strength of 40.23 MPa. While the steel slag slurry which is only mixed with water has a compressive of 0.88 MPa after being cured for 28 days. 展开更多
关键词 steel slag sodium silicate sodium hydroxide CEMENT binding material
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Structure and Property Characterization of Oyster Shell Cementing Material 被引量:1
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作者 钟彬杨 周强 +1 位作者 单昌锋 于岩 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 2012年第1期85-92,共8页
Oyster shell powder was used as the admixture of ordinary portland cement.The effects of different addition amounts and grinding ways on the strength and stability of cement mortar were discussed and proper addition a... Oyster shell powder was used as the admixture of ordinary portland cement.The effects of different addition amounts and grinding ways on the strength and stability of cement mortar were discussed and proper addition amount of oyster shell powder was determined.The structure and property changes of cementing samples with different oyster shell powder contents were tested by XRD and SEM means.The results revealed that compressive and rupture strengths of the sample with 10% oyster shell powder was close to those of the original one without addition.Stability experiment showed that the sample prepared by pat method had smooth surface without crack and significant expansion or shrinkage after pre-curing and boiling,which indicated that cementing material dosed with oyster shell powder had fine stability.XRD and SEM observation showed that oyster shell independently exists in the cementing material. 展开更多
关键词 oyster shell powder cement sand strength STABILITY
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The Cementing Techniques Of Salt Formation
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作者 Zeng yijin Ding shidong Xia Huade (Petroleum Drilling Reseach Institute,MGMR) 《西部探矿工程》 CAS 1993年第5期6-12,共7页
This paper analyzes mechnasim of casing failure and collapse by salt formation,discusses cementing techniques of salt zone about casing programme, casing design, preparation of well condition, mud and slurry propertie... This paper analyzes mechnasim of casing failure and collapse by salt formation,discusses cementing techniques of salt zone about casing programme, casing design, preparation of well condition, mud and slurry properties required, cementing technology, and puts forward the measures for solving problems posed when cementing through salt sequences, and illustrates with examples. 展开更多
关键词 SALT formation CEMENTATION COLLAPSE strenghth PLASTIC flow saturated SLURRY SYNTHETIC techniques
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Modeling displacement flow inside a full-length casing string for well cementing
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作者 Hu Dai Ali Eslami +2 位作者 Jason Schneider Gefei Liu Fred Schwering 《Petroleum Research》 EI 2024年第1期1-16,共16页
While computer modeling of annular displacement efficiency is widely applied in cementing engineering,modeling the displacement flow inside a casing or drill string for cementing operations has received less attention... While computer modeling of annular displacement efficiency is widely applied in cementing engineering,modeling the displacement flow inside a casing or drill string for cementing operations has received less attention.Although predicting displacement efficiency inside a full-length pipe is desired by cementing engineers,the attempt of developing a model with both efficiency and accuracy faces challenges.Access to computer simulators for this purpose is limited.Compared with annular flow,the displacement flow inside pipe,although within a simpler geometry and without eccentricity effect,is not simpler in physics,modelling strategy and predictability,because a variety of flow patterns and flow instabilities can develop to create complicated fluid interfaces.In this paper,we present an integrated numerical model developed to simulate displacement flows inside a full-length pipe,which connects an existing annulus model to enable complete displacement simulations of cementing jobs.The model uses three-dimensional grid to solve fluid concentrations with degrees of mixing,and incorporates flow instability detection and flow regime determination.Applied in cementing,the model accounts for effects of pumping rate,well inclination,pipe rotation,fluid densities,rheological parameters and more.This computationally efficient model does not rely on high-resolution mesh as often required by conventional Computational Fluid Dynamics models,thus it is suitable to be implemented in a cementing software for daily use by well cementing engineers.The methodology of the model is discussed in detail in this paper.To validate the model,we examine simulation results against experimental results obtained in our laboratory tests and CFD simulations;acceptable agreement is found under different testing conditions.We also presented two case studies of real cementing jobs with cement evaluation logs compared to simulation results,showing that the model can predict consistent displacement efficiency results. 展开更多
关键词 Inside pipe displacement Displacement efficiency Numerical model Primary cementing Displacement flow
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Calcium carbonate promotes the formation and stability of soil macroaggregates in mining areas of China
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作者 Junyu Xie Jianyong Gao +7 位作者 Hanbing Cao Jiahui Li Xiang Wang Jie Zhang Huisheng Meng Jianping Hong Tingliang Li Minggang Xu 《Journal of Integrative Agriculture》 SCIE CAS CSCD 2024年第3期1034-1047,共14页
We studied changes in the concentrations of aggregate-cementing agents after different reclamation times and with different fertilization regimes,as well as the formation mechanism of aggregates in reclaimed soil,to p... We studied changes in the concentrations of aggregate-cementing agents after different reclamation times and with different fertilization regimes,as well as the formation mechanism of aggregates in reclaimed soil,to provide a theoretical basis for rapid reclamation of soil fertility in the subsidence area of coal mines in Shanxi Province,China.In this study,soil samples of 0–20 cm depth were collected from four fertilization treatments of a longterm experiment started in 2008:no fertilizer (CK),inorganic fertilizer (NPK),chicken manure compost (M),and50%inorganic fertilizer plus 50%chicken manure compost (MNPK).The concentrations of cementing agents and changes in soil aggregate size distribution and stability were analysed.The results showed that the formation of>2 mm aggregates,the aggregate mean weight diameter (MWD),and the proportion of>0.25 mm water-stable aggregates (WR_(0.25)) increased significantly after 6 and 11 years of reclamation.The concentration of organic cementing agents tended to increase with reclamation time,whereas free iron oxide (Fed) and free aluminium oxide(Ald) concentrations initially increased but then decreased.In general,the MNPK treatment signi?cantly increased the concentrations of organic cementing agents and CaCO_(3),and CaCO_(3) increased by 60.4%at 11 years after reclamation.Additionally,CaCO_(3) had the greatest effect on the stability of aggregates,promoting the formation of>0.25 mm aggregates and accounting for 54.4%of the variance in the proportion and stability of the aggregates.It was concluded that long-term reclamation is bene?cial for improving soil structure.The MNPK treatment was the most effective measure for increasing maize grain yield and concentration of organic cementing agents and CaCO_(3). 展开更多
关键词 reclamation time manure combined with inorganic fertilizer soil aggregate stability cementing agents CaCO_(3)
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