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A Simplified Hydro-Mechanical Model for Sanding from Hollow Cylinder Tests 空心圆筒砂磨试验的简化水力学模型
Pub Date : 2022-06-26 DOI: 10.56952/arma-2022-0058
E. Sarris, E. Gravanis
Particles produced by the hydro-mechanical processes during sanding in hydrocarbon wells is a highly complex physical process. Sanding onset is influenced by a number of factors which include mechanical failure and hydrodynamic erosion. Over the years a number of mathematical and numerical models have been developed to describe the sand production process, involving sanding criteria or constitutive laws of mechanical or hydro-dynamical nature. In this work we propose a new simplified model working along the lines of the hydro-dynamical constitutive law of Papamichos et al. (2001) and Gravanis et al., (2015). The model amounts to a set of two ordinary differential equations coupling the mechanical process of plastic yielding with hydro-dynamic erosion, including degradation of the material. The model is especially built for the hollow cylinder test, that is, constructed for cylindrical symmetry which is particularly useful for determining the sand production coefficient λ from such tests. The sand production coefficient as a function of the externally applied stress is estimated from the experimental data of Papamichos et al. (2001) via a single parameter best fit. It is shown that the sand production coefficient is nearly constant for the range of values of the external stress considered. Additionally, the mathematical sand production curves capture fairly well the experimental data.
油气井出砂过程中流体力学过程产生的颗粒是一个高度复杂的物理过程。出砂的发生受许多因素的影响,包括机械破坏和水动力侵蚀。多年来,已经开发了许多数学和数值模型来描述出砂过程,包括出砂标准或机械或水动力性质的本构定律。在这项工作中,我们提出了一个新的简化模型,该模型遵循Papamichos等人(2001)和Gravanis等人(2015)的水动力本构律。该模型将塑性屈服力学过程与水动力侵蚀过程(包括材料的降解)耦合为一组常微分方程。该模型是专门为空心圆筒试验建立的,即根据圆柱对称构造的,这对于确定此类试验的出砂系数λ特别有用。根据Papamichos等人(2001)的实验数据,通过单参数最佳拟合估计出产砂系数作为外部施加应力的函数。结果表明,在考虑外部应力的取值范围内,出砂系数几乎是恒定的。此外,数学出砂曲线较好地反映了实验数据。
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引用次数: 0
True Triaxial Testing of Anisotropic Solids 各向异性固体的真三轴试验
Pub Date : 2022-06-26 DOI: 10.56952/arma-2022-0086
Xuanyu Zhu, M. Serati, M. Elamin, Zhongwei Chen
Accurate determination of rock mechanical properties (particularly sedimentary shales, mica and schists with foliation and bedding planes) is critical to the safe design and excavation of underground mines and tunnels. Traditional techniques to calculate rock elastic properties often involve testing cylindrical or disc-shaped specimens under uniaxial compression or diametrical loading. But, these stress conditions may not represent the actual stress state under which rock is subjected at depth. A true triaxial testing technique on cubed specimens are, therefore, preferred as it better represents field stress conditions. This paper introduces and verifies a modified step-compression true-triaxial based technique to measure the elastic constants in fibre-reinforced epoxy samples, selected as a low-porosity anisotropic solid. The elastic constants obtained from the proposed method (even under higher stress levels) are found to be in good agreement with results from the benchmark tests with uniaxial compression but in the meanwhile offers other anisotropic parameters, which cannot be obtained from conventional measurements.
岩石力学特性的准确测定(特别是具有片理和顺层面的沉积页岩、云母和片岩)对地下矿山和隧道的安全设计和开挖至关重要。计算岩石弹性特性的传统技术通常涉及在单轴压缩或直径加载下测试圆柱形或圆盘形试样。但是,这些应力条件可能不能代表岩石在深部所承受的实际应力状态。因此,在立方体试样上采用真正的三轴测试技术是首选方法,因为它能更好地代表现场应力条件。本文介绍并验证了一种改进的阶梯压缩真三轴技术,用于测量低孔隙率各向异性纤维增强环氧树脂样品的弹性常数。该方法得到的弹性常数(即使在较高的应力水平下)与单轴压缩基准试验的结果吻合良好,同时提供了常规测量无法获得的其他各向异性参数。
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引用次数: 0
Creep indentation test and lab-based simulation on Pierre II shale Pierre II页岩蠕变压痕试验及室内模拟
Pub Date : 2022-06-26 DOI: 10.56952/arma-2022-2173
Xiyang Xie, L. Edvardsen, C. Ringstad, P. Cerasi
Can we find proper lab testing sources rather than coring samples? We rest our hope on drilling cuttings. The cutting sample might be too small to be tested in Laboratory, but the indentation test looks like a promising solution. In this study, the indentation tests are implemented on Pierre II shale and the corresponding numerical simulation is performed. In the indentation test, an alloyed indenter presses on the surface of a shale sample with the loading, holding, and unloading stage. Simulation with FLAC3D is then implemented to fit the lab results well. Then a series of parametric analyses show how the constitutive parameters affect the testing curve. From the simulation results, we have illustrated that an indentation test is an option on cutting samples. This study provides a workflow to analyze the mechanical behavior of small rock samples with the indentation test experimentally and numerically.
我们能找到合适的实验室测试来源而不是取心样本吗?我们把希望寄托在钻屑上。切割样品可能太小,无法在实验室进行测试,但压痕测试看起来是一个很有前途的解决方案。本研究在Pierre II页岩上进行了压痕试验,并进行了数值模拟。在压痕试验中,合金压头在加载、保持和卸载阶段压在页岩样品的表面。然后利用FLAC3D进行仿真,使实验结果与实验结果吻合较好。通过一系列参数分析,揭示了本构参数对试验曲线的影响。从模拟结果中,我们已经说明了压痕测试是切割样品的一种选择。该研究为通过压痕试验和数值分析小岩样的力学行为提供了一个工作流程。
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引用次数: 0
Testing and analysis of potential damage factors in carbonate reservoir 碳酸盐岩储层潜在危害因素测试与分析
Pub Date : 2022-06-26 DOI: 10.56952/arma-2022-0226
X. Xia, Jianye Mou, Yongchun Zhang, Xiaoming Li, Yuelin Li
The pollution damage of injected water, fracturing fluid and drilling fluid in carbonate reservoir are mainly studied, however, the potential product precipitation damage have been seldom studied. Majiagou Formation in Daniudi gas field mainly has two kinds of rock samples, one with dolomite as the main component and the other with gypsum as the main component. On the one hand, through mineral composition analysis, the main composition of dolomite sample is CaCl2 and MgCl2. Then the ion concentration of acid rock reaction product solution was tested, the results show that the highest Ca2+ content and the highest Mg2+ content in the four groups are lower than the lowest solubility of Ca2+ and Mg2+, so the products will not reach supersaturated state and precipitate in the solution. On the other hand, for the rock sample dominated by gypsum, the quality of rock plate changes little after water immersion and acid solution corrosion. Then the gypsum samples were subjected to acid displacement, and the surface morphology changes of the samples were observed and the mass changes were measured. The test results showed that the dissolution amount of the samples was small. Therefore, it shows that water and acid will not react with gypsum and will not produce potential precipitation.
目前对碳酸盐岩储层中注入水、压裂液和钻井液的污染损害研究较多,而潜在的产物沉淀损害研究较少。大牛地气田马家沟组主要有两种岩石样品,一种以白云岩为主,另一种以石膏为主。一方面,通过矿物组成分析,白云石样品的主要成分是CaCl2和MgCl2。然后对酸岩反应产物溶液中的离子浓度进行了测试,结果表明,四组中Ca2+含量最高和Mg2+含量最高的离子浓度低于Ca2+和Mg2+溶解度最低的离子浓度,因此产物不会达到过饱和状态而在溶液中沉淀。另一方面,对于以石膏为主的岩样,经水浸和酸溶液腐蚀后,岩板质量变化不大。然后对石膏样品进行酸驱,观察样品的表面形貌变化,并测量样品的质量变化。试验结果表明,样品的溶出量很小。因此,表明水和酸不会与石膏发生反应,不会产生潜在的沉淀。
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引用次数: 0
Impacts of variations of the minimum horizontal stress on hydraulic fracture growth and microseismicity 最小水平应力变化对水力裂缝发育和微震活动的影响
Pub Date : 2022-06-26 DOI: 10.56952/arma-2022-0782
A. Kohli, M. Zoback, Ankush Kumar Singh
Hydraulic fractures are created by increasing fluid pressure over the minimum horizontal stress. Variations of the minimum horizontal stress with depth determine where hydraulic fractures can grow and what orientation of faults will slip. Here, we use a stress model and field data from the Hydraulic Fracture Test Site-1 to simulate hydraulic fracture growth in different landing zones along the length of horizontal wells. We found that strata with lower stress allow for significant lateral growth while strata with higher stress act as barriers to vertical growth. When stimulation occurred in a higher stress zone, the fracture grew both upwards and downwards, whereas in the lower stress zones, fracture propagation was limited by higher stress layers. Although high and low stress layers show characteristic differences in microseismicity, we found no clear relationship between the distribution of microseismic events and the fracture areas. Our results emphasize that the minimum horizontal stress is the primary control on hydraulic fracture growth and must be sufficiently and accurately measured to predict patterns of stimulation.
水力裂缝是通过增加流体压力超过最小水平应力而产生的。最小水平应力随深度的变化决定了水力裂缝的生长位置和断层的滑移方向。在这里,我们使用应力模型和水力裂缝试验场-1的现场数据来模拟沿水平井长度不同着陆区的水力裂缝生长。我们发现应力较低的地层允许显著的横向生长,而应力较高的地层则是垂直生长的障碍。当增产发生在高应力区时,裂缝向上和向下扩展,而在低应力区,裂缝扩展受到高应力层的限制。虽然高应力层和低应力层在微震活动上表现出特征性的差异,但微震事件的分布与断裂区域之间没有明显的关系。我们的研究结果强调,最小水平应力是水力裂缝扩展的主要控制因素,必须进行充分和准确的测量,以预测增产模式。
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引用次数: 0
Laboratory evaluation of micro-proppants on enhancement of microfracture conductivity in unconventional reservoirs 微支撑剂提高非常规储层微裂缝导流能力的实验室评价
Pub Date : 2022-06-26 DOI: 10.56952/arma-2022-0389
Shuai Yuan, Fu-jian Zhou, Yakai Tian, Tianbo Liang, Xingyuan Liang
The complex fracture network generated from hydraulic fracturing is of great importance for well productivity in unconventional reservoirs. However, numerous natural or induced microfractures are closed without proppant placement after hydraulic fracturing is completed. Micro-proppants have small enough particle sizes and longer transport distances, which can access microfractures and keep them open. The objective of this work is to investigate the particle size distribution, crushing rate as well as microfracture conductivity by micro-proppants from fly ash. Microproppants have a large range of particle size from 1 μm to 300 μm, and the average particle diameters are 22.84 μm and 51.13 μm. The crushing rates of micro-proppants are related to the particle size distributions and mineral contents. More concentrated distribution of particle sizes and higher contents of high-hardness minerals lead to a lower crushing rate of micro-proppants. The fracture conductivity is exponentially decreased with closure stress, and it is controlled by average particle sizes and crushing rates of micro-proppants. The results demonstrate micro-proppants from fly ash are sufficient to the requirements of hydraulic fracturing and improve hydrocarbon production of unconventional reservoirs.
水力压裂产生的复杂裂缝网络对非常规油藏的产能具有重要意义。然而,在水力压裂完成后,许多天然或诱发的微裂缝在没有放置支撑剂的情况下被关闭。微支撑剂具有足够小的颗粒尺寸和较长的输送距离,可以进入微裂缝并保持其打开状态。本研究的目的是研究粉煤灰微支撑剂的粒径分布、破碎速率以及微裂缝导电性。微支撑剂粒径范围从1 μm ~ 300 μm不等,平均粒径为22.84 μm和51.13 μm。微支撑剂的破碎速率与颗粒粒度分布和矿物含量有关。粒径分布越集中,高硬度矿物含量越高,微支撑剂的破碎率越低。裂缝导流能力随闭合应力呈指数下降,并受微支撑剂的平均粒径和破碎速率控制。结果表明,粉煤灰微支撑剂能够满足水力压裂的要求,提高非常规油藏的油气产量。
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引用次数: 0
Mechanical and Fracture Behavior of Sedimentary Rocks under Uniaxial Compression 单轴压缩作用下沉积岩的力学与断裂行为
Pub Date : 2022-06-26 DOI: 10.56952/arma-2022-0089
K. Ng, Esra’a Alomari, Lokendra Khatri
Energy-related characterizations can provide important information regarding mechanical behavior of rocks. A series of uniaxial compression tests were carried out on intact rock samples obtained from Wyoming, USA. The physical properties of the samples (i.e., porosity and grain size) were first examined. To investigate the fracture behavior of sedimentary rocks, a compilation of published dataset and our experimental data were employed to develop a new approach for estimating uniaxial compressive strength (UCS) based on the amount of energy released during rock deformation, which is known as the rock toughness. The energy release is calculated as the area under the stress-strain curve until the peak stress is reached. This energy shows a strong correlation with the density of the rock. Moreover, a predictive empirical model was proposed to estimate the rock UCS based on the rock toughness. The proposed empirical model was validated by comparing the predicted and measured UCS values of experimentally tested rocks, and the comparison showed a good agreement with a mean bias (the ratio of measured to the predicted compressive strength) of 1.002.
与能量相关的表征可以提供有关岩石力学行为的重要信息。对美国怀俄明州的完整岩样进行了一系列单轴压缩试验。首先检查了样品的物理性质(即孔隙率和晶粒尺寸)。为了研究沉积岩的断裂行为,利用已发表的数据集汇编和我们的实验数据,开发了一种基于岩石变形过程中释放的能量(即岩石韧性)估计单轴抗压强度(UCS)的新方法。能量释放计算为应力-应变曲线下直至达到峰值应力的面积。这种能量与岩石的密度密切相关。在此基础上,提出了一种基于岩石韧性的预测经验模型。通过对比试验岩石抗压强度的预测值和实测值,验证了该经验模型的有效性,其平均偏差(实测抗压强度与预测抗压强度之比)为1.002。
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引用次数: 0
Simulation-based economical modeling of hydraulic fracturing for Enhanced Geothermal System 基于仿真的增强型地热系统水力压裂经济建模
Pub Date : 2022-06-26 DOI: 10.56952/arma-2022-0789
Jerjes Porlles Hurtado, H. Jabbari
Hydraulic fracturing is applied to extract fluids (oil, gas, and water) from very low permeability rocks. This type of stimulation could develop hot and dry rock geothermal resources. Habitually, those reservoirs are located in the depth of 2.7 Km to 5.5 Km; and more than 180 °C. This study designs a hydraulic fracturing model in horizontal wells to extract hot water economically, creating high permeable artificial fractures. We aim to investigate the effects of varying fracture-cluster lengths, proppant, and frac fluid types, on hydraulic fracturing treatments using 2D and 3D simulation models. Some parameters such as type of proppant, fracture fluids, number of stages, fracture length, and fracture width are evaluated considering the reservoir's high temperature and high pressure. Finally, different scenarios are evaluated to know if the hydraulic model is economically feasible to generate electricity with the current price of electricity price, drilling, and completion cost.
水力压裂用于从渗透率极低的岩石中提取流体(油、气和水)。这种改造方式可以开发干热岩地热资源。这些储层通常位于2.7 ~ 5.5 Km深度;180°C以上。本研究设计了水平井水力压裂模型,以经济地提取热水,制造高渗透率人工裂缝。我们的目标是通过2D和3D模拟模型来研究不同裂缝簇长度、支撑剂和压裂液类型对水力压裂处理的影响。考虑储层高温高压条件,对支撑剂类型、压裂液、压裂段数、裂缝长度、裂缝宽度等参数进行了评价。最后,对不同的情景进行评估,以了解在当前电价、钻井和完井成本的情况下,水力模型是否具有经济可行性。
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引用次数: 0
Hydraulic Fractures in Reservoirs Bounded by Layers of Other Rocks 被其他岩层包围的储层中的水力裂缝
Pub Date : 2022-06-26 DOI: 10.56952/arma-2022-0287
S. Roshankhah, J. McLennan
This study investigates the characteristics of hydraulic fractures (HFs) formed in low permeability reservoirs that are bounded by salt layers. Three layered systems are modeled, where the thickness of the bounding salt layers differs with respect to the thickness of the shale layer (same thickness, thinner salt, and thicker salt). The width and total height of the models are the same. The interface properties match the properties of the weaker material, which is the salt. Both the shale and salt zones are modeled as homogeneous and impermeable materials, and water injection is modeled in the center of the middle shale layer. An additional model of hydraulic fracturing in the middle of a homogeneous and isotropic shale is included. All models are subjected to the maximum (major) principal stress in the vertical direction and the minimum (minor) principal stress in the horizontal direction with fixed boundary conditions. The hybrid finite-discrete element modeling technique is used for these analyses. Results show that the contrast between the mechanical properties and thickness of layers influence the state of stress in the layers. Specifically, the orientation of the major and minor principal stresses switch in the target shale layer. This leads to creation of inclined HFs in the bounded shale as opposed to vertical HFs that would form in a thick shale layer under normal anisotropic stress conditions. The thicker are the bounding salt layers, the more horizontally inclined the HFs are in the shale. These analyses inform us that the design of hydraulic stimulations is influenced by the properties and thickness contract between the reservoir and bounding layers.
研究了以盐层为界的低渗透储层中水力裂缝的特征。模拟了三个层状系统,其中边界盐层的厚度相对于页岩层的厚度不同(相同厚度,更薄的盐和更厚的盐)。模型的宽度和总高度相同。界面性质与较弱的材料,也就是盐的性质相匹配。页岩层和盐层均为均质不渗透物质,注水位置在中间页岩层的中心。在均质和各向同性页岩中加入了一个额外的水力压裂模型。在固定的边界条件下,所有模型在垂直方向上承受最大(主)主应力,在水平方向上承受最小(小)主应力。这些分析采用了有限-离散元混合建模技术。结果表明,层间力学性能和厚度的差异会影响层内的应力状态。具体来说,在目标页岩层中,主应力和小主应力的方向发生了切换。这导致在有界页岩中形成倾斜hf,而不是在正常各向异性应力条件下在厚页岩层中形成垂直hf。边界盐层越厚,页岩中高通量的水平倾斜度越大。这些分析告诉我们,水力增产的设计受储层和边界层之间的性质和厚度收缩的影响。
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引用次数: 0
Production enhancement with a new acid in tight sandstone reservoirs: accelerating guar breaking and minimizing formation damage 在致密砂岩储层中应用新型酸提高产量:加速破胶,最大限度地减少地层损害
Pub Date : 2022-06-26 DOI: 10.56952/arma-2022-0429
Tianbo Liang, Mengchuang Zhang, Hao Bai, Bojun Li, Qing Wang, Erdong Yao, Fu-jian Zhou, Wei Liu
Crosslinked guar is suitable for the stimulation of thick tight sandstone reservoir, which can enhance the height and length of propped fractures. However, conventional gel breakers can leave residues that causes formation damage. Acid can accelerate the gel breaking rate, but it may cause secondary precipitation damage after reacting with the reservoir rock. In this study, a new acid with slow speed, chelating effect, and high gel breakage is developed that can enhance the conductivity of created fractures by minimizing gel residues and inhibiting secondary precipitations after acidification. The breaking rate of the crosslinked guar by a conventional gel breaker and the new acid is compared, during which the viscosity of the solution, the molecular weight, residues, and the change of pressure with time before and after displacement damage are measured with time. The results show that the gel breaking speed of adding new acid is twice that of adding conventional gel breaker. The average relative molecular weight of the polymer in the gel breaker is reduced by 20%, and the median particle size is less than 50 μm; The permeability recovery rate of adding the new acid is much higher than that of adding conventional gel breaker. The content of metal ions in the flowback liquid is much higher than that of the initial control sample, indicating that the acid system contains chelator has a better ability to inhibit secondary precipitation. Field test shows that the average daily oil production of a single well reaches 30 tons/day after using the new acid.
交联瓜适用于致密厚砂岩储层增产,可提高支撑裂缝的高度和长度。然而,传统的破胶剂可能会留下残留物,导致地层受损。酸能加速破胶速率,但与储层岩石反应后可能造成二次沉淀破坏。在这项研究中,开发了一种速度慢、螯合效果好、凝胶破碎率高的新型酸,通过减少凝胶残留和抑制酸化后的二次沉淀,可以提高裂缝的导流能力。比较了常规破胶剂和新型破胶剂对交联瓜尔胶的破胶率,测定了驱替破坏前后溶液的粘度、分子量、残基、压力随时间的变化。结果表明,加入新酸的破胶速度是加入常规破胶剂的2倍。破胶剂中聚合物的平均相对分子量降低了20%,中位粒径小于50 μm;加入新型破胶剂后,其渗透率恢复率远高于加入常规破胶剂。返排液中金属离子含量远高于初始对照样品,说明含螯合剂的酸体系具有较好的抑制二次沉淀的能力。现场试验表明,使用新酸后,单井平均日产量可达30吨/天。
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引用次数: 0
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Proceedings 56th US Rock Mechanics / Geomechanics Symposium
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