提出了综合处理Burton-Miller方法所导致的奇异积分与近奇异积分问题的数值求积方法,以此改进了基于常量元素的常规边界元和低频快速多极边界元方法。对于奇异积分问题,利用Hadamard有限积分方法进行解决;对于近奇异积分问题,则采用极...提出了综合处理Burton-Miller方法所导致的奇异积分与近奇异积分问题的数值求积方法,以此改进了基于常量元素的常规边界元和低频快速多极边界元方法。对于奇异积分问题,利用Hadamard有限积分方法进行解决;对于近奇异积分问题,则采用极坐标变换法和PART方法(Projection and Angular&Radial Transformation)进行克服。与解析解和LMS Virtual.Lab商业软件的结果比较验证了方法的正确性,并对比分析了奇异积分与近奇异积分对计算精度的影响。采用低频快速多极子方法以加速常规边界元法的计算效率,计算分析了计算复杂度,并成功实现了34万自由度大规模问题的计算。结果表明,近奇异积分问题主要由超奇异核函数引起,对计算精度的影响不容忽略;快速多极边界元法的精度与常规边界元法一致,但计算复杂度要远低于后者。展开更多
More and more oilfields are using acoustic technology to enhance oil recovery.In order to know the mechanism of acoustic oil recovery technology,the sound radiator of a new downhole vibration device is modeled and ana...More and more oilfields are using acoustic technology to enhance oil recovery.In order to know the mechanism of acoustic oil recovery technology,the sound radiator of a new downhole vibration device is modeled and analyzed.Based on the theoretical background,this paper firstly analyzes the acoustic mechanism for the oil reservoir and then makes a acoustic response analysis on the sound radiator model for frequency and time-domain investigation by using professional acoustic simulation softwareeLMS Virtual.lab Acoustics,finally calculates the acoustic transmission loss in the downhole oil reservoir.The research reveals that firstly,acoustic waves have influences on the oil&water fluidity in the oil reservoir,the oil pressure gradient and the interfacial tension of capillary;secondly,the acoustic radiation power and sound pressure of field point attain a peak on the natural frequency of the sound radiator;thirdly,with the acoustic impact,the sound pressure of oil reservoir would fluctuate so as to improve the oil recovery ratio;the last but not the least one is both the sound pressure of oil reservoir point and the transmission loss of rock have a positive correlation with the vibration frequency.Therefore,it is of great importance for the research of vibration frequency and structure optimization of sound radiator.展开更多
文摘提出了综合处理Burton-Miller方法所导致的奇异积分与近奇异积分问题的数值求积方法,以此改进了基于常量元素的常规边界元和低频快速多极边界元方法。对于奇异积分问题,利用Hadamard有限积分方法进行解决;对于近奇异积分问题,则采用极坐标变换法和PART方法(Projection and Angular&Radial Transformation)进行克服。与解析解和LMS Virtual.Lab商业软件的结果比较验证了方法的正确性,并对比分析了奇异积分与近奇异积分对计算精度的影响。采用低频快速多极子方法以加速常规边界元法的计算效率,计算分析了计算复杂度,并成功实现了34万自由度大规模问题的计算。结果表明,近奇异积分问题主要由超奇异核函数引起,对计算精度的影响不容忽略;快速多极边界元法的精度与常规边界元法一致,但计算复杂度要远低于后者。
基金Fund Project:The Graduate Fund of Southwest Petroleum University(CX2014SY02).
文摘More and more oilfields are using acoustic technology to enhance oil recovery.In order to know the mechanism of acoustic oil recovery technology,the sound radiator of a new downhole vibration device is modeled and analyzed.Based on the theoretical background,this paper firstly analyzes the acoustic mechanism for the oil reservoir and then makes a acoustic response analysis on the sound radiator model for frequency and time-domain investigation by using professional acoustic simulation softwareeLMS Virtual.lab Acoustics,finally calculates the acoustic transmission loss in the downhole oil reservoir.The research reveals that firstly,acoustic waves have influences on the oil&water fluidity in the oil reservoir,the oil pressure gradient and the interfacial tension of capillary;secondly,the acoustic radiation power and sound pressure of field point attain a peak on the natural frequency of the sound radiator;thirdly,with the acoustic impact,the sound pressure of oil reservoir would fluctuate so as to improve the oil recovery ratio;the last but not the least one is both the sound pressure of oil reservoir point and the transmission loss of rock have a positive correlation with the vibration frequency.Therefore,it is of great importance for the research of vibration frequency and structure optimization of sound radiator.
