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1.
The ultra-low permeability of shale reservoirs necessitates engineering applications such as hydraulic fracturing to enable the extraction of economically viable amounts of gas. In this process, a high-pressure fluid is injected into the reservoir to create a network of fractures. Proppants are solid, spherical, high-strength particles with size range between 8 and 140 mesh (105 μm–2.38 mm), which are injected into the reservoir simultaneously with fracturing fluid to prompt the opening of the fractures created, and they play a major role in the hydraulic fracturing process. As a result, appropriate management of proppants in shale reservoirs based on precise identification of their behaviour in shale reservoirs is necessary, because unexpected proppant performance or behaviour, commonly known as proppant damage mechanisms, can greatly reduce fracture conductivity. Therefore, it is essential to determine the major factors affecting proppant behaviour in order to maintain constant fracture conductivity. Numerous factors have been found in previous studies, and they can be summarized into three major groups: proppant properties, reservoir properties and hydraulic fracturing production, which affect proppant damage mechanisms. In the present paper, case studies have been provided on the determination of potential factors influencing proppant behaviour, followed by a discussion of their effects on fracture conductivity. The aim of this study is to present current opinions on potential factors influencing proppant behaviour based on a comprehensive literature review.  相似文献   

2.
页岩气的工业化开发要求对致密储层进行体积压裂改造,水平井多级分段压裂技术是成功开发页岩气藏的关键技术之一。页岩储层在地应力与致裂压力联合作用下突破页岩基质,沟通天然裂隙等弱结构面,形成高导流能力缝网系统,页岩储层中赋存的游离气和吸附气得以释放,提高了页岩气井的初始产量和最终采收率。根据渝东地区页岩储层工程地质特征,结合渝页A-2HF井、渝页B-2HF井矿场压裂施工数据,探索适用于渝东地区的页岩储层压裂工艺技术,结果表明,采用前置盐酸处理储层保持近井带导流能力,能够保障后续大排量施工压力窗口;低砂比粉砂段塞多级降滤实现“控近扩远”,增加储层改造体积;压力异常层段胶液前置充分造缝,可为后续滑溜水携带支撑剂进入地层创造有利条件。  相似文献   

3.
李奔 《地质与勘探》2020,56(3):627-634
水力压裂是页岩油气增产的主要手段,其核心是向储层连续泵入压裂液迫使储层产生水力裂缝/缝网形成油气运移高效通道,从而达到油气增产的目的。相较人工主缝,微裂缝具有数量大、缝宽小、走向复杂等特点,常规支撑剂无法对其形成有效支撑,如何提高微裂缝的导流能力是进一步提高页岩油气产能的关键。微缝导流能力实验表明:微支撑剂嵌入页岩裂缝表面导致一定程度的渗透率损害,但支撑微裂缝的渗透率仍比页岩基质渗透率高出2~3个数量级,仍可为页岩油气运移提供有效渗流通道。本文系统分析了微支撑剂对微裂缝的支撑特性、微支撑剂的长距离输运性能及辅助降滤等特征,提出了微支撑剂对致密油气增产的内在机制。结合我国致密油气储层基质孔隙尺度,形成了考虑微裂缝开度及基质孔隙尺寸的微支撑剂选配原则。  相似文献   

4.
煤层水力压裂后支撑剂的展布形态及内部特征在很大程度上决定压裂效果的优劣.以煤矿井下巷道中揭露的煤层气井压裂裂缝内的支撑剂为研究对象,重点观察并分析支撑剂的形貌和堆积特征及其与堆积过程的关系.再以压裂裂缝典型部位获取的支撑剂为实例,描述支撑剂的形貌与堆积特征,还原支撑剂的堆积过程.结果表明:在水平缝内,距井筒距离增加,支...  相似文献   

5.
The hydraulic fracturing technique has been widely applied in many fields, such as the enhanced geothermal systems (EGS), the improvement of injection rates for geologic sequestration of CO2, and for the stimulations of oil and gas reservoirs. The key points for the success of hydraulic fracturing operations in unconventional resources are to accurately estimate the redistribution of pore pressure and stresses around the induced fracture and predict the reactivations of preexisting natural fractures. The pore pressure and stress regime around hydraulic fracture are affected by poroelastic and thermoelastic phenomena as well as by fracture opening compression. In this work, a comprehensive semi-analytical model is used to estimate the stress and pore pressure distribution around an injection-induced fracture from a single well in an infinite reservoir. The model allows the leak-off distribution in the formation to be three-dimensional with the pressure transient moving ellipsoidically outward into the reservoir from the fracture surface. The pore pressure and the stress changes in three dimensions at any point around the fracture caused by poroelasticity, thermoelasticity, and fracture compression are investigated. With Mohr-Coulomb failure criterion, we calculate the natural fracture reactivations in the reservoir. Then, two case studies of constant water injection into a hydraulic fracture are presented. This work is of interest in the interpretation of microseismicity in hydraulic fracturing and in the estimation of the fracture spacing for hydraulic fracturing operations. In addition, the results from this study can be very helpful for the selection of stimulated wells and further design of the refracturing operations.  相似文献   

6.
水力压裂技术是油气藏尤其是页岩气开发中的核心技术,利用数值模拟方法进行压裂优化和产能预测又是水力压裂成功的关键。本文首先介绍了水力压裂技术的发展历程。然后从计算模型(二维模型、拟三维模型和全三维模型)和数值模拟方法(基于连续介质和基于非连续介质)两方面对油气藏开发领域的水力压裂计算模拟技术进行较全面的总结。最后,从以下3个方面指出现今研究的不足并提出了进一步的研究建议:(1)全三维模型的完善-全三维模型应当与真实的工程参数和监测数据结合,用于校正模型本身,而校正后的全三维模型又可预测和优化新的现场水力压裂作业; (2)数值模拟方法的选用-已有的水力压裂数值模拟方法种类繁多,需要针对各种方法的适用范围、计算效率和模拟效果等,进行全面的比较和优化; (3)页岩储层中天然裂缝网络的数值模拟-天然裂隙网络加剧了页岩储层力学性质的各向异性,同时水力裂缝沟通天然裂缝活化扩展是有利于储层的增渗增产,对压裂缝网的形态、尺寸和连通率等起着至关重要的作用。因此,数值计算过程中综合考虑页岩储层中天然裂缝与水力裂缝的相互作用,将是未来水力压裂模拟的热点。  相似文献   

7.
水力压裂技术是煤矿瓦斯灾害防治与煤层气开采的关键技术之一,在实施水力压裂过程中,支撑剂的嵌入往往会诱发煤储层裂隙宽度的一系列变化。其中,滑脱效应的强度与渗透率的变化主要由裂隙宽度决定。因此,支撑剂嵌入将影响水力压裂技术的有效性。为探究水力压裂背景下气体的滑脱效应与煤的渗流规律,采用赫兹接触理论量化支撑剂的嵌入深度,并构建支撑剂与有效应力综合作用的气体滑脱系数计算方程与渗透率模型。结果表明:在不同瓦斯压力下,煤的渗透率随有效应力的增大先减小后趋于平缓;恒定有效应力条件下,瓦斯压力越低,渗透率相对越高;且铺置多层砂的增透效果相对铺置单层砂的增透效果更佳;两种铺置条件下,滑脱因子b在不同瓦斯压力下呈相同的变化趋势,均随支撑剂嵌入深度的增大而增大;不同形态裂缝的滑脱因子均随着有效应力的增大而增大,其中球形裂缝的滑脱因子最大,圆柱形次之,狭缝形最小。同时,不同形态裂缝煤的渗透率均随有效应力的增加而减小,而3种形态裂缝渗透率之间的大小关系与滑脱因子大小关系一致;考虑到有效应力与支撑剂对裂缝宽度的贡献,构建了考虑支撑剂和有效应力综合作用的裂隙渗透率模型,并通过公开发布的试验数据验证其合理性。研究结果将有助于水力压裂技术在煤矿瓦斯灾害防治与煤层气开采中的进一步应用。   相似文献   

8.
Gas shales are one type of unconventional reservoirs which have attracted significant attention for gas production in recent years. Gas production from very tight shales requires employment of hydraulic fracturing as a stimulation technique. To design hydraulic fracture operation the mechanical properties of the targeted and surrounding formations should be estimated. Also, the magnitude and orientation of in situ stresses in the field need to be known to estimate the fracture initiation and propagation pressures. This study focuses on gas shale characteristics in the North Perth Basin and uses data corresponding to well Arrowsmith-2 (AS-2) which is the first dedicated shale gas well drilled in Western Australia. A log-based analysis was used to build the rock mechanical model (RMM). The RMM results were used to set up a hydraulic fracturing laboratory experiment. The test was done in the presence of three principal stresses to mimic the real field stress conditions. The test results include the pressure–time curve which was used to estimate the initiation and propagation pressure at that depth. The results were used to draw some practical conclusions related to hydraulic fracturing operation in the field.  相似文献   

9.
钻井、完井、增产改造工作液滤液、边底水或凝析水在井筒或裂缝面附近发生毛管自吸行为和滞留效应诱发水相圈闭损害,妨碍气藏的及时发现、准确评价和经济开发.以我国四川、鄂尔多斯盆地典型致密砂岩气藏为例,基于致密气藏天然气产出机理,分析了致密气藏经济开发的水平井钻井完井、水力压裂、采气等作业环节中水相自吸过程及其对作业效果的影响.钻井完井过程中水相快速自吸进入基块,驱替出非润湿相油气,打破裂缝壁面力学—化学平衡,诱发井壁失稳;进入裂缝的工作液要快速返排,以免自吸侵入基块降低基块—裂缝传质效率;裂缝中水相高速流动,不易毛管自吸进入基块,造成边底水沿裂缝快速推进,造成水淹.矿场工程技术实践证明,裂缝致密气藏勘探开发全过程,选用合理水基工作流体体系,改善采气工艺措施,调控毛管自吸,进而达到防治水相圈闭损害的目的,是经济开发致密气藏的关键.  相似文献   

10.
The response of deformable fractures to changes in fluid pressure controls phenomena ranging from the flow of fluids near wells to the propagation of hydraulic fractures. We developed an analysis designed to simulate fluid flows in the vicinity of asperity‐supported fractures at rest, or fully open fractures that might be propagating. Transitions between at‐rest and propagating fractures can also be simulated. This is accomplished by defining contact aperture as the aperture when asperities on a closing fracture first make contact. Locations on a fracture where the aperture is less than the contact aperture are loaded by both fluid pressure and effective stress, whereas locations where the aperture exceeds the contact aperture are loaded only by fluid pressure. Fluid pressure and effective stress on the fracture are determined as functions of time by solving equations of continuity in the fracture and matrix, and by matching the global displacements of the fracture walls to the local deformation of asperities. The resulting analysis is implemented in a numerical code that can simulate well tests or hydraulic fracturing operations. Aperture changes during hydraulic well tests can be measured in the field, and the results predicted using this analysis are similar to field observations. The hydraulic fracturing process can be simulated from the inflation of a pre‐existing crack, to the propagation of a fracture, and the closure of the fracture to rest on asperities or proppant. Two‐dimensional, multi‐phase fluid flow in the matrix is included to provide details that are obscured by simplifications of the leakoff process (Carter‐type assumptions) used in many hydraulic fracture models. Execution times are relatively short, so it is practical to implement this code with parameter estimation algorithms to facilitate interpretation of field data. Copyright © 2006 John Wiley & Sons, Ltd.  相似文献   

11.
Hydrocarbon production from shale has attracted much attention in the recent years. When applied to this prolific and hydrocarbon rich resource plays, our understanding of the complexities of the flow mechanism(sorption process and flow behavior in complex fracture systems- induced or natural) leaves much to be desired. In this paper, we present and discuss a novel approach to modeling, history matching of hydrocarbon production from a Marcellus shale asset in southwestern Pennsylvania using advanced data mining, pattern recognition and machine learning technologies. In this new approach instead of imposing our understanding of the flow mechanism, the impact of multi-stage hydraulic fractures, and the production process on the reservoir model, we allow the production history, well log, completion and hydraulic fracturing data to guide our model and determine its behavior. The uniqueness of this technology is that it incorporates the so-called "hard data" directly into the reservoir model, so that the model can be used to optimize the hydraulic fracture process. The "hard data" refers to field measurements during the hydraulic fracturing process such as fluid and proppant type and amount, injection pressure and rate as well as proppant concentration. This novel approach contrasts with the current industry focus on the use of "soft data"(non-measured, interpretive data such as frac length, width,height and conductivity) in the reservoir models. The study focuses on a Marcellus shale asset that includes 135 wells with multiple pads, different landing targets, well length and reservoir properties. The full field history matching process was successfully completed using this data driven approach thus capturing the production behavior with acceptable accuracy for individual wells and for the entire asset.  相似文献   

12.
针对碎软煤层渗透率低、瓦斯抽采衰减快、压裂不均匀、裂缝易闭合、瓦斯抽采效果差、无法实现区域瓦斯超前预抽的问题,提出了煤层顶板定向长钻孔水力加砂分段压裂强化瓦斯抽采的技术思路,研发适合煤矿井下煤层顶板定向长钻孔水力加砂分段压裂煤层增透技术,研制了成套的煤矿井下水力加砂压裂泵组装备、定向喷砂射孔装置及工具组合、防砂封隔器及工具组合。水力压裂泵组装备最大排量90 m3/h,最大泵注压力70 MPa,最大携砂能力20%,支撑剂粒径小于等于1 mm;定向喷砂射孔装置通过水压驱动喷射器定向,最大旋转角度180°;防砂封隔器最大承压70 MPa,最大膨胀系数为2。研发的定向长钻孔连续定向喷砂射孔工艺技术和定向长钻孔拖动式水力加砂分段压裂工艺技术,在山西阳泉新景煤矿井下开展工程试验,完成2个压裂钻孔(孔深均为609 m)共计16段水力加砂分段压裂施工,累计实施80次定向喷砂射孔作业,石英砂的体积分数2%~3%,定向喷砂射孔压力22.6~28.6 MPa,共计使用石英砂19.8 t;水力加砂分段压裂单段注入压裂液153.8~235.1 m3、核桃壳砂的体积分数2.02%~2.56%,累计注入压裂液2 808.57 m3,注入核桃壳砂36.47 t;综合评价本次水力加砂分段压裂影响半径为20~38 m,统计分析压裂后2个钻场100 d瓦斯抽采数据,1号钻场、2号钻场日均瓦斯抽采纯量分别为1 025、2 811m3。试验结果表明:压裂装备加砂量大,施工排量大,能够实现连续作业,压裂后煤层透气性显著增加,极大地提高瓦斯抽采浓度和瓦斯抽采纯量。研究成果对碎软煤层区域瓦斯增透提供新思路,为我国类似矿区区域瓦斯超前治理提供技术借鉴。   相似文献   

13.
孙峰  薛世峰  逄铭玉  唐梅荣  张翔  李川 《岩土力学》2019,40(8):3255-3261
射孔作为井筒与储层之间的液流通道,是水力压裂过程中的重要可控性参数。为研究水平井射孔-近井筒破裂机制,采用岩层变形-流体渗流方程描述应力状态变化,应用连续损伤破裂单元表征三维破裂位置与形态演化,并开发有限元求解程序模拟分析了射孔对水平井初始破裂压力、破裂位置及近井筒裂缝复杂性的调控作用。通过与解析模型及射孔压裂物理模型试验结果对比,验证了模型及有限元程序的有效性;水平井破裂压力数值分析结果与现场测试数据吻合较好。研究表明:射孔可调控水平井破裂压力与初始破裂位置,同时对近井筒区域裂缝扩展形态影响显著。通过优化射孔参数可以引导初始破裂向最优破裂面扩展、有效降低破裂压力,减小由于螺旋射孔空间排布引起的水平井近井筒裂缝迂曲与复杂程度,提高致密油气藏压裂改造效果。  相似文献   

14.
Multi-stage fractured horizontal wells play an important role in developing shale gas reservoirs by significantly improving productivity. By considering fracture networks, gas desorption, stress-sensitive fracture permeability, and pressure-dependent gas PVT properties, an analytical model is developed for shale gas wells. Fracture networks are handled based on transient linear flow, gas desorption is handled by defining a new total compressibility, stress-dependent hydraulic fracture permeability is handled by variable substitution, and pseudo-pressure and pseudo-time are used to handle pressure-dependent PVT properties. After obtaining the solution of the linearized model, a material balance method and successive substitution iteration procedure are proposed to convert the pseudo-time into real time and calculate the production contribution from gas desorption. The results show that induced fractures also have a great impact on the production of the well. Production contribution from free gas and adsorbed gas could be quantified using the proposed material balance principle and iterative method. The rank of parameters that influence the ultimate recovery is the following: half-length of hydraulic fracture, induced fracture length/hydraulic fracture spacing, hydraulic fracture spacing, conductivity of induced fractures, conductivity of hydraulic fracture, and induced fracture spacing.  相似文献   

15.
In this study, the effects of the temperature difference between hydraulic fracturing fluid and rock formation on the time‐dependent evolution of fracture width were investigated using a newly derived one‐dimensional anisotropic porothermoelastic analytical solution. The solution is shown to correctly reproduce existing solutions for special cases and corrections for an earlier publication are provided. An analysis of time‐dependent fracture width evolution using Woodford Shale data was also presented. It was found that when the fracturing fluid has the same temperature as the shale formation, the fracture gradually closes back after the initial opening due to the invasion of the fracturing fluid. Practically, in this scenario, proppants should be pumped into the fracture as soon as possible to obtain maximum fracture conductivity. On the other hand, with a fracturing fluid 60 °C colder than the formation, the thermal contraction of the rock dominates the fracture aperture evolution, resulting in a fracture aperture approximately 70% larger than that produced by the hotter fracturing fluid. Consequently, in this case, it is beneficial to delay proppant placement to take advantage of the widening fractures. Finally, it was found that the fracture aperture is directly controlled by the spacing of natural fractures. Therefore, the presence of natural fractures in the shale formation and their spacing influence not only the type of hydraulic fractures created but also what kind and size of proppants should be used to keep them open. Copyright © 2013 John Wiley & Sons, Ltd.  相似文献   

16.
微地震监测技术是页岩气开采过程中对页岩气储层压裂效果评价和指导压裂过程的重要手段,可通过观察、分析压裂过程中诱发微地震事件,获取压裂裂缝参数、导流能力、裂缝展布发育方向等信息。中牟区块牟页1井具有低孔、低渗储层特征,对含气层段的三层储层,采用大排量水力压裂施工,进行地面微地震监测、井中微破裂成像技术压裂监测及微地震监测;牟页1井监测压裂结果显示为缝长251~496m,缝宽120~252m,改造体积约为237.5×104~387.7×104 m3,方位角64°~80°。压裂实施使储层裂缝开启含气层段得到改造,指导了实时压裂和压裂效果评价。  相似文献   

17.
Liao  Jianxing  Gou  Yang  Feng  Wentao  Mehmood  Faisal  Xie  Yachen  Hou  Zhengmeng 《Acta Geotechnica》2020,15(2):279-295

Although hydraulic fracturing has been massively studied and applied as a key technique to enhance the gas production from tight formations, some problems and uncertainties exist to accurately predict and analyze the fracture behavior in complex reservoirs, especially in the naturally fractured reservoirs like shale reservoirs. This paper presents a full 3D numerical model (FLAC3D) to study hydraulic fracturing behavior under the impact of preexisting orthogonal natural fractures. In this numerical model, the hydraulic fracture propagation direction is assumed perpendicular to the minimum principal stress and activated only by tensile failure, whereas the preexisting natural fractures can be activated by tensile or shear failure or a combination of them, and only tensile failure can open the natural fracture as well. The newly developed model was used to study the impact of preexisting orthogonal natural fractures on hydraulic fracturing behavior, based on a multistage hydraulic fracturing operation in a naturally fractured reservoir from the Barnett Shale formation, northwest of Texas in USA. In this multistage operation, two more representative stages, i.e., stage 1 with a relatively large horizontal stress anisotropy of 3.3 MPa and stage 4 with a comparatively small one of 1.3 MPa, were selected to conduct the simulation. Based on the numerical results, one can observe that the interaction between hydraulic and natural fracture is driven mainly by induced stress around fracture tip. Besides, the horizontal stress anisotropy plays a key role in opening the natural fracture. Thus, no significant opened fracture is activated on natural fracture in stage 1, while in stage 4 an opened fracture invades to about 90 m into the first natural fracture. Conversely, the hydraulic fracture length in stage 1 is much longer than in stage 4, as some fluid volume is stored in the opened natural fracture in stage 4. In this work, the shear failure on natural fractures is treated as the main factor for inducing the seismic events. And the simulated seismic events, i.e., shear failure on natural fractures, are very comparable with the measured seismic events.

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18.
煤岩对压裂裂缝长期导流能力影响的实验研究   总被引:7,自引:0,他引:7  
张士诚  牟善波  张劲  王雷 《地质学报》2008,82(10):1444-1449
煤层中一般都伴有煤层气,通过压裂可以将煤层气释放出来,一方面能够获得清洁能源,另一方面可以提高煤田的安全开采。煤岩层自身特点决定了其在压裂中应用的实验评价方法及结论应具有特殊性,本文主要针对煤层气井的煤岩层压裂裂缝长期导流能力进行实验评价研究。实验表明,与砂岩地层不同,煤岩的硬度较小,压裂中支撑剂嵌入情况较严重;煤岩易破碎,碎屑颗粒充填到支撑剂中;同时支撑剂存在破碎及吸附伤害等,多种作用导致支撑裂缝的导流能力降低。实验中,以煤岩层闭合压力为一个重要的参数,实验对比分析了在不同闭合压力下,铺砂浓度、支撑剂粒径、支撑剂种类及组合的选择、支撑剂颗粒的破碎与嵌入、压裂液残渣等因素对煤岩层导流能力的影响。本文的实验结论为,嵌入对煤岩层支撑裂缝的导流能力伤害很大,加大铺砂浓度、采用低破碎率支撑剂、降低压裂液伤害能在一定程度上提高煤层裂缝的导流能力,但影响程度随闭合压力的增加而逐渐降低。本文所得出的结论对今后煤层气的开发及设计施工具有一定的指导意义。  相似文献   

19.
卜淘 《现代地质》2019,33(3):672-679
新场气田属于大型多层致密砂岩异常高压气藏,储层物性差,非均质性强,气井动用储量低。目前,为大幅度提高气井产能,提高储量动用长度,该气藏多采用多段压裂水平井开发。因此,迫切需要论证裂缝参数及其组合对多段压裂水平井开发效果的影响,为气藏下步科学高效开发和持续高产稳产提供理论基础。以川西新场气田为研究对象,采用数值模拟法深入研究了压裂水平井裂缝几何布局对气井产能的影响,包括非均匀裂缝长度、非均匀裂缝间距、压裂规模与裂缝数量、裂缝长度与间距的匹配、裂缝夹角与间距的匹配。结果表明:对于多段压裂水平井,U型模式的裂缝长度布局最优;均匀裂缝间距开发效果优于非均匀裂缝间距;水力压裂时,少段数长缝能取得更佳的开发效果;0. 67~1倍缝长的裂缝间距布局、垂直于井筒的正交裂缝布局有利于改善压裂水平井开发效果,裂缝间距的增大能有效降低非正交裂缝低夹角对产量的影响。  相似文献   

20.
Multistage fracturing of the horizontal well is recognized as the main stimulation technology for shale gas development. The hydraulic fracture geometry and stimulated reservoir volume (SRV) is interpreted by using the microseismic mapping technology. In this paper, we used a computerized tomography (CT) scanning technique to reveal the fracture geometry created in natural bedding-developed shale (cubic block of 30 cm × 30 cm × 30 cm) by laboratory fracturing. Experimental results show that partially opened bedding planes are helpful in increasing fracture complexity in shale. However, they tend to dominate fracture patterns for vertical stress difference Δσ v  ≤ 6 MPa, which decreases the vertical fracture number, resulting in the minimum SRV. A uniformly distributed complex fracture network requires the induced hydraulic fractures that can connect the pre-existing fractures as well as pulverize the continuum rock mass. In typical shale with a narrow (<0.05 mm) and closed natural fracture system, it is likely to create complex fracture for horizontal stress difference Δσ h  ≤ 6 MPa and simple transverse fracture for Δσ h  ≥ 9 MPa. However, high naturally fractured shale with a wide open natural fracture system (>0.1 mm) does not agree with the rule that low Δσ h is favorable for uniformly creating a complex fracture network in zone. In such case, a moderate Δσ h from 3 to 6 MPa is favorable for both the growth of new hydraulic fractures and the activation of a natural fracture system. Shale bedding, natural fracture, and geostress are objective formation conditions that we cannot change; we can only maximize the fracture complexity by controlling the engineering design for fluid viscosity, flow rate, and well completion type. Variable flow rate fracturing with low-viscosity slickwater fluid of 2.5 mPa s was proved to be an effective treatment to improve the connectivity of induced hydraulic fracture with pre-existing fractures. Moreover, the simultaneous fracturing can effectively reduce the stress difference and increase the fracture number, making it possible to generate a large-scale complex fracture network, even for high Δσ h from 6 MPa to 12 MPa.  相似文献   

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