Shale Gas Seepage Mechanism and Pressure Dynamic Characteristics Research

2013 ◽  
Vol 652-654 ◽  
pp. 2484-2489
Author(s):  
Yong Ming Li ◽  
Ya Zhou Li ◽  
Xue Ping Zhang ◽  
Jin Zhou Zhao ◽  
Lie Hui Zhang

The shale gas reserves could bring huge economic benefits. Therefore, many domestic and international scholars had researched it in all aspects. The research of seepage mechanism is mostly based on double seepage medium, they think gas spread directly into the fracture system when gas instantaneous desorbing from adsorption medium surface. However, the processing method is not very appropriate, because a certain amount of free gas present in rock matrixes pores. In order to describe the flow process accurately, this paper proposed a new concept of triple porous media, established a new model of shale gas seepage and solved the mathematical model by using Laplace transform and Stehfest numerical inversion. Finally figured out pressure dynamic response curves and analyzed the influence of all parameters on these curves.

2021 ◽  
Author(s):  
Bin Liu ◽  
Baolin Yue ◽  
Wei Zhang ◽  
Cunliang Chen ◽  
Zhiqiang Zhu ◽  
...  

Abstract Due to the high viscosity of crude oil and high water-oil mobility ratio, water channeling is serious in a Bohai oilfield. Polymer flooding has been carried out in the oilfield, and good results have been achieved. When polymer flooding is implemented in the oilfield, only the wellhead viscosity of polymer is known, but the viscosity of polymer system in the formation is not accurately known. The viscosity of polymer system in the formation is an important parameter for polymer flooding effect and later polymer injection parameter optimization. Due to the lack of data and the difficulty of operation in offshore oilfield, it is urgent to study the viscosity retention of polymer after being sheared from the borehole. The flow of polymer solution is divided into two stages. The first flow stage is that the flow of polymer solution in the wellbore is equivalent to the flow of an equal diameter circular pipe. Assuming that the solution system is incompressible and is one-dimensional stable flow, the mathematical model of apparent viscosity is established by momentum theory and the constitutive equation of pseudo-plastic fluid. Finally, the apparent viscosity and shear rate of the solution system are calculated by the mathematical model, which keep unchanged along the flow direction in the equal diameter circular pipe. The second flow stage is that the flow process of polymer solution through the borehole is equivalent to the flow process of shrinkage and expansion in a variable cross-section pipeline. The viscosity mathematical model of the solution system after the borehole shearing is established. The viscosity retention is calculated by the mathematical model, and the influence of perforation radius and other indexes on formation working viscosity is analyzed. The results show that the viscosity retention of the polymer system is 34.1%∼36.9% by using the new model. Through the analysis of the influencing factors, it is concluded that the consistency coefficient and perforation radius have the greatest influence on the viscosity retention. By applying the calculated viscosity retention obtained by the new model to the numerical simulation, the water cut history fitting of single well is improved. Due to the same concentration injected in the whole oilfield, the effect of polymer flooding in some areas is not obvious. The viscosity of polymer in the formation is calculated by the new model. After concentration optimization and adjustment, the concentration of polymer injection in three wells increases from 800mg/L, 1000mg/L and 1200mg/L to 1500mg/L respectively, and the oil production of the surrounding production wells increases significantly, and the daily oil production increases 105m3. The new technology has been widely used in five wells of other two oilfields in Bohai Oilfield. On the basis of calculating the viscosity retention rate, good results have been achieved by adjusting the injection concentration, and the total oil increase has reached 5×104m3. There are some assumptions in the calculation of this technology. In the future, the fluid flow will be further studied under the condition of removing the assumptions.


2015 ◽  
Vol 8 (1) ◽  
pp. 203-207 ◽  
Author(s):  
Yin Daiyin ◽  
Wang Dongqi ◽  
Zhang Chengli ◽  
Duan Yingjiao

In order to find the dynamic characteristics of shale gas reservoirs and improve shale gas well production, it is very important to research on shale gas seepage mechanism and production evaluation. Based on the shale gas seepage mechanism, adsorption and desorption characteristics, the diffusion mechanism and mass conservation theory in shale gas development, the dual pore medium shale gas reservoir mathematical model is set up. The mathematical model is built by the finite difference method based on start-up pressure gradient, slippage effect and the isothermal adsorption principle, and then programmed to solve it. Finally, this paper analyzed the impact of Langmuir volume, Langmuir pressure, start-up pressure gradient and slippage coefficient and other factors on shale gas wells production.


2016 ◽  
Vol 10 (3) ◽  
pp. 447-454 ◽  
Author(s):  
Yusaku Shirahama ◽  
◽  
Ryuta Sato ◽  
Yusuke Takasuka ◽  
Hidenori Nakatsuji ◽  
...  

The purpose of this study is to develop a new machine bed support mechanism for reducing the vibration generated during the high-speed tracking motion of numerical control machine tools. In order to achieve this, the frequency response and motion trajectory of a machine tool with the proposed machine bed, which has a sliding surface, are measured and compared with that of the conventional support. Based on the modal analysis of the machine tool structure, a mathematical model representing the influence of the machine bed characteristics on the vibration is also developed. The model consists of a bed, saddle, table, column, and spindle head. Every component has three degrees of freedom for each of the translational and rotational axes. In order to evaluate the characteristics of the machine bed, the mathematical model determines the stiffness and damping along the X-, Y-, and Z-axis between the bed and the ground. The frequency response curves simulated by using the mathematical model are compared with that of the measured ones. From the results of the experiments and simulations, it is confirmed that the vibration generated during high-speed tracking motions can be reduced by using the proposed machine bed with a sliding surface.


2012 ◽  
Vol 466-467 ◽  
pp. 376-380
Author(s):  
Wei Tang ◽  
Yan Zi Zhao

APMP high-consistency refining process is a complex energy-consuming process, under the unchanged condition of equipments, it’s very important to optimize the refining quality, yields and costs. Through analyzing the refining process, the mathematical model about optimizing three parameters simultaneously is proposed, and solved by the mathematical software with powerful function(LINGO), By comparing, the results show: for one thing, the different indices tendency determine the optimized degree; for another, the indices of quality and yields after optimization has been raised more than that before optimization, and the costs reduce obviously, the improvement of economic benefits is considerable for a larger enterprise.


2018 ◽  
Vol 2018 ◽  
pp. 1-8
Author(s):  
Hongge Peng ◽  
Ding Zhang

When two adjacent surface mines are simultaneously mined in the same direction with a certain relationship of the time and space, the mining arrangement of the former mine will greatly affect the mining plan and economic benefit of subsequent surface mine. In this paper, the optimized mathematical model is established with the mining conditions and economic benefits taken into account. The minimum cost of objective function is analyzed in the condition of considering the different transportation distance with different dumping amount and secondary stripping amount. At the end of this paper a conclusion is drawn that the reasonable dumping level is determined as 1130 based on the annual planning project location and stripping amount, which will reduce the cost of production and smooth the coal mining. Moreover, it is verified by an example to be correct that the mathematical model can be used to solve similar problems of tracing mining or adjacent districts mined in surface mines.


Author(s):  
Wei Guo ◽  
Rongze Yu ◽  
Xiaowei Zhang ◽  
Zhiming Hu

Shale gas mainly stores in shale matrix, and gas production in shale matrix is very important during exploration. In order to clarify gas production and transport mechanism in shale matrix, an experimental modeling of gas production in shale matrix was designed and conducted with Longmaxi shale samples collected from South of Sichuan. The experimental results show that gas production decline curve displays a “L” pattern which indicates initial production is high and declines rapidly, while late production is low and declines moderately; meanwhile, pressure propagation in shale matrix is quite slow due to ultralow permeability. Based on the results, a mathematical model was derived to describe gas production in shale matrix. The comparison between numerical solution of mathematical model and experimental results shows that the mathematical model can well describe gas transport in shale matrix. In addition, factors affecting gas production were investigated on the basis of the mathematical model. Adsorbed gas can replenish gas pressure in pores by desorption and delay pressure propagation, and gas production decreases very quickly when there is no adsorbed gas. Other parameters (diffusion coefficient, permeability and porosity) also need to be considered in shale gas development.


2020 ◽  
Vol 39 (6) ◽  
pp. 8823-8830
Author(s):  
Jiafeng Li ◽  
Hui Hu ◽  
Xiang Li ◽  
Qian Jin ◽  
Tianhao Huang

Under the influence of COVID-19, the economic benefits of shale gas development are greatly affected. With the large-scale development and utilization of shale gas in China, it is increasingly important to assess the economic impact of shale gas development. Therefore, this paper proposes a method for predicting the production of shale gas reservoirs, and uses back propagation (BP) neural network to nonlinearly fit reservoir reconstruction data to obtain shale gas well production forecasting models. Experiments show that compared with the traditional BP neural network, the proposed method can effectively improve the accuracy and stability of the prediction. There is a nonlinear correlation between reservoir reconstruction data and gas well production, which does not apply to traditional linear prediction methods


Author(s):  
Olexandr Pavlenko ◽  
Serhii Dun ◽  
Maksym Skliar

In any economy there is a need for the bulky goods transportation which cannot be divided into smaller parts. Such cargoes include building structures, elements of industrial equipment, tracked or wheeled construction and agricultural machinery, heavy armored military vehicles. In any case, tractor-semitrailer should provide fast delivery of goods with minimal fuel consumption. In order to guarantee the goods delivery, tractor-semitrailers must be able to overcome the existing roads broken grade and be capable to tow a semi-trailer in off-road conditions. These properties are especially important for military equipment transportation. The important factor that determines a tractor-semitrailer mobility is its gradeability. The purpose of this work is to improve a tractor-semitrailer mobility with tractor units manufactured at PJSC “AutoKrAZ” by increasing the tractor-semitrailer gradeability. The customer requirements for a new tractor are determined by the maximizing the grade to 18°. The analysis of the characteristics of modern tractor-semitrailers for heavy haulage has shown that the highest rate of this grade is 16.7°. The factors determining the limiting gradeability value were analyzed, based on the tractor-semitrailer with a KrAZ-6510TE tractor and a semi-trailer with a full weight of 80 t. It has been developed a mathematical model to investigate the tractor and semi-trailer axles vertical reactions distribution on the tractor-semitrailer friction performances. The mathematical model has allowed to calculate the gradeability value that the tractor-semitrailer can overcome in case of wheels and road surface friction value and the tractive force magnitude from the engine. The mathematical model adequacy was confirmed by comparing the calculations results with the data of factory tests. The analysis showed that on a dry road the KrAZ-6510TE tractor with a 80 t gross weight semitrailer is capable to climb a gradient of 14,35 ° with its coupling mass full use condition. The engine's maximum torque allows the tractor-semitrailer to overcome a gradient of 10.45° It has been determined the ways to improve the design of the KrAZ-6510TE tractor to increase its gradeability. Keywords: tractor, tractor-semitrailer vehicle mobility, tractor-semitrailer vehicle gradeability.


Author(s):  
Oleksii Timkov ◽  
Dmytro Yashchenko ◽  
Volodymyr Bosenko

The article deals with the development of a physical model of a car equipped with measuring, recording and remote control equipment for experimental study of car properties. A detailed description of the design of the physical model and of the electronic modules used is given, links to application libraries and the code of the first part of the program for remote control of the model are given. Atmega microcontroller on the Arduino Uno platform was used to manage the model and register the parameters. When moving the car on the memory card saved such parameters as speed, voltage on the motor, current on the motor, the angle of the steered wheel, acceleration along three coordinate axes are recorded. Use of more powerful microcontrollers will allow to expand the list of the registered parameters of movement of the car. It is possible to measure the forces acting on the elements of the car and other parameters. In the future, it is planned to develop a mathematical model of motion of the car and check its adequacy in conducting experimental studies on maneuverability on the physical model. In addition, it is possible to conduct studies of stability and consumption of electrical energy. The physical model allows to quickly change geometric dimensions and mass parameters. In the study of highway trains, this approach will allow to investigate the various layout schemes of highway trains in the short term. It is possible to make two-axle road trains and saddle towed trains, three-way hitched trains of different layout. The results obtained will allow us to improve not only the mathematical model, but also the experimental physical model, and move on to further study the properties of hybrid road trains with an active trailer link. This approach allows to reduce material and time costs when researching the properties of cars and road trains. Keywords: car, physical model, experiment, road trains, sensor, remote control, maneuverability, stability.


Author(s):  
Serhii Kovbasenko ◽  
Andriy Holyk ◽  
Serhii Hutarevych

The features of an advanced mathematical model of motion of a truck with a diesel engine operating on the diesel and diesel gas cycles are presented in the article. As a result of calculations using the mathematical model, a decrease in total mass emissions as a result of carbon monoxide emissions is observed due to a decrease in emissions of nitrogen oxides and emissions of soot in the diesel gas cycle compared to the diesel cycle. The mathematical model of a motion of a truck on a city driving cycle according to GOST 20306-90 allows to study the fuel-economic, environmental and energy indicators of a diesel and diesel gas vehicle. The results of the calculations on the mathematical model will make it possible to conclude on the feasibility of converting diesel vehicles to using compressed natural gas. Object of the study – the fuel-economic, environmental and energy performance diesel engine that runs on dual fuel system using CNG. Purpose of the study – study of changes in fuel, economic, environmental and energy performance of vehicles with diesel engines operating on diesel and diesel gas cycles, according to urban driving cycle modes. Method of the study – calculations on a mathematical model and comparison of results with road tests. Bench and road tests, results of calculations on the mathematical model of motion of a truck with diesel, working on diesel and diesel gas cycles, show the improvement of environmental performance of diesel vehicles during the converting to compressed natural gas in operation. Improvement of environmental performance is obtained mainly through the reduction of soot emissions and nitrogen oxides emissions from diesel gas cycle operations compared to diesel cycle operations. The results of the article can be used to further develop dual fuel system using CNG. Keywords: diesel engine, diesel gas engine, CNG


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