The boundedness of multilinear singular integrals of Calder′on-Zygmund type onproduct of variable exponent Lebesgue spaces over both bounded and unbounded domains areobtained. Further more, the boundedness for this t...The boundedness of multilinear singular integrals of Calder′on-Zygmund type onproduct of variable exponent Lebesgue spaces over both bounded and unbounded domains areobtained. Further more, the boundedness for this type multilinear operators on product ofvariable exponent Morrey spaces over domains is shown in the paper.展开更多
In this paper the boundedness for the multilinear fractional integral operator Iα^（m） on the product of Herz spaces and Herz-Morrey spaces are founded, which improves the Hardy- Littlewood-Sobolev inequality for cl...In this paper the boundedness for the multilinear fractional integral operator Iα^（m） on the product of Herz spaces and Herz-Morrey spaces are founded, which improves the Hardy- Littlewood-Sobolev inequality for classical fractional integral Iα. The method given in the note is useful for more general multilinear integral operators.展开更多
In this paper, the authors prove the boundedness of the multilinear maximal func- tions, multilinear singular integrals and multilinear Riesz potential on the product generalized Rn Rn Morrey spaces Mp1,ωw1 （Rn）&#...In this paper, the authors prove the boundedness of the multilinear maximal func- tions, multilinear singular integrals and multilinear Riesz potential on the product generalized Rn Rn Morrey spaces Mp1,ωw1 （Rn）×…×Mpm,ω （Rn） respectively. The main theorems of this paper extend some known results.展开更多
The purpose of this paper is to give the element proof of the regularity estimates in Orlicz classes for the second order derivatives of the solutions to the general second order elliptic equations.The global regulari...The purpose of this paper is to give the element proof of the regularity estimates in Orlicz classes for the second order derivatives of the solutions to the general second order elliptic equations.The global regularities in Orlicz for the second order derivatives of the solutions of the Dirichlet problems are also given.展开更多
由于对气藏直定井温度剖面影响规律认识不清,导致基于分布式光纤温度监测(distributed temperature sensing,DTS)定量评价气藏直定井产出剖面仍十分困难。鉴于此,通过建立考虑多种微量热效应和非等温渗流的多产层气藏直定井温度剖面预...由于对气藏直定井温度剖面影响规律认识不清,导致基于分布式光纤温度监测(distributed temperature sensing,DTS)定量评价气藏直定井产出剖面仍十分困难。鉴于此,通过建立考虑多种微量热效应和非等温渗流的多产层气藏直定井温度剖面预测模型,模拟分析了多个单因素对多产层气藏直定井温度剖面的影响规律,通过正交试验分析,评价出了各单因素对多产层气藏直定井温度剖面的影响程度依次为:渗透率>产量>含水饱和度>井筒倾斜角>天然气相对密度>储层导热系数>井筒半径,确定了影响多产层气藏直定井温度剖面的主导因素为渗透率、产量和含水饱和度。建立的温度剖面预测模型及温度剖面主控因素的确定,为实现基于DTS定量解释气藏直定井产出剖面奠定了理论基础。展开更多
由于缺乏可靠的温度剖面预测模型导致多产层油藏直定井温度剖面影响规律认识不清,使得基于分布式光纤温度监测(distributed temperature sensing,DTS)定量解释多产层油藏直定井产出剖面仍十分困难。鉴于此,通过建立考虑多种微量热效应...由于缺乏可靠的温度剖面预测模型导致多产层油藏直定井温度剖面影响规律认识不清,使得基于分布式光纤温度监测(distributed temperature sensing,DTS)定量解释多产层油藏直定井产出剖面仍十分困难。鉴于此,通过建立考虑多种微量热效应和非等温渗流的多产层油藏直定井温度剖面预测模型,模拟分析了不同单因素变化对多产层油藏直定井温度剖面的影响规律,并通过正交试验分析评价了油藏直定井温度剖面对各影响因素的敏感性程度,依次为:单井产量>渗透率>含水饱和度>井筒直径>原油密度>井筒倾斜角>储层导热系数,确定了影响油藏直定井温度剖面的主导因素为单井产量、渗透率和含水饱和度。研究结果为实现基于DTS数据定量解释多产层油藏直定井产出剖面、储层特征参数等奠定了理论基础。展开更多
针对气藏压裂水平井各级裂缝参数差异较大所导致的温度剖面无规律、产出剖面解释困难等问题,设计了一套基于分布式光纤传感(distributed temperature sensing,DTS)技术的水平井物理模拟实验装置,开展了温度剖面物理模拟实验研究,探究了...针对气藏压裂水平井各级裂缝参数差异较大所导致的温度剖面无规律、产出剖面解释困难等问题,设计了一套基于分布式光纤传感(distributed temperature sensing,DTS)技术的水平井物理模拟实验装置,开展了温度剖面物理模拟实验研究,探究了裂缝导流能力对温度剖面的影响规律。实验结果表明:随着裂缝导流能力的增大,产量增大,温度剖面整体下降,裂缝位置处的温降与对应裂缝的导流能力基本呈正相关;气藏储层渗透率增大时,温度剖面整体下降。据此还提出了一种基于DTS温度剖面实验数据实现快速定位、识别高产裂缝的方法。为实现基于DTS的气藏压裂水平井裂缝诊断及产出剖面解释提供实验依据。展开更多
基金Supported by the National Natural Science Foundation of China (11071065, 10771110, 10471069)sponsored by the 151 Talent Fund of Zhejiang Province
文摘The boundedness of multilinear singular integrals of Calder′on-Zygmund type onproduct of variable exponent Lebesgue spaces over both bounded and unbounded domains areobtained. Further more, the boundedness for this type multilinear operators on product ofvariable exponent Morrey spaces over domains is shown in the paper.
基金Supported by the National Natural Sciences Foundation of China (10771110)the Natural Science Founda- tion of Ningbo City (2006A610090)
文摘In this paper the boundedness for the multilinear fractional integral operator Iα^（m） on the product of Herz spaces and Herz-Morrey spaces are founded, which improves the Hardy- Littlewood-Sobolev inequality for classical fractional integral Iα. The method given in the note is useful for more general multilinear integral operators.
基金Supported by the National Natural Science Foundation of China(11171306,11226104,11271330)the Jiangxi Natural Science Foundation of China(20114BAB211007)the Science Foundation of Jiangxi Education Department(GJJ13703)
文摘In this paper, the authors prove the boundedness of the multilinear maximal func- tions, multilinear singular integrals and multilinear Riesz potential on the product generalized Rn Rn Morrey spaces Mp1,ωw1 （Rn）×…×Mpm,ω （Rn） respectively. The main theorems of this paper extend some known results.
基金Supported by the NNSF of China(10771110,11171306)Supported by the the New Century 151 Talent Project of Zhejiang Province
文摘The purpose of this paper is to give the element proof of the regularity estimates in Orlicz classes for the second order derivatives of the solutions to the general second order elliptic equations.The global regularities in Orlicz for the second order derivatives of the solutions of the Dirichlet problems are also given.
文摘由于对气藏直定井温度剖面影响规律认识不清,导致基于分布式光纤温度监测(distributed temperature sensing,DTS)定量评价气藏直定井产出剖面仍十分困难。鉴于此,通过建立考虑多种微量热效应和非等温渗流的多产层气藏直定井温度剖面预测模型,模拟分析了多个单因素对多产层气藏直定井温度剖面的影响规律,通过正交试验分析,评价出了各单因素对多产层气藏直定井温度剖面的影响程度依次为:渗透率>产量>含水饱和度>井筒倾斜角>天然气相对密度>储层导热系数>井筒半径,确定了影响多产层气藏直定井温度剖面的主导因素为渗透率、产量和含水饱和度。建立的温度剖面预测模型及温度剖面主控因素的确定,为实现基于DTS定量解释气藏直定井产出剖面奠定了理论基础。
文摘由于缺乏可靠的温度剖面预测模型导致多产层油藏直定井温度剖面影响规律认识不清,使得基于分布式光纤温度监测(distributed temperature sensing,DTS)定量解释多产层油藏直定井产出剖面仍十分困难。鉴于此,通过建立考虑多种微量热效应和非等温渗流的多产层油藏直定井温度剖面预测模型,模拟分析了不同单因素变化对多产层油藏直定井温度剖面的影响规律,并通过正交试验分析评价了油藏直定井温度剖面对各影响因素的敏感性程度,依次为:单井产量>渗透率>含水饱和度>井筒直径>原油密度>井筒倾斜角>储层导热系数,确定了影响油藏直定井温度剖面的主导因素为单井产量、渗透率和含水饱和度。研究结果为实现基于DTS数据定量解释多产层油藏直定井产出剖面、储层特征参数等奠定了理论基础。
文摘针对气藏压裂水平井各级裂缝参数差异较大所导致的温度剖面无规律、产出剖面解释困难等问题,设计了一套基于分布式光纤传感(distributed temperature sensing,DTS)技术的水平井物理模拟实验装置,开展了温度剖面物理模拟实验研究,探究了裂缝导流能力对温度剖面的影响规律。实验结果表明:随着裂缝导流能力的增大,产量增大,温度剖面整体下降,裂缝位置处的温降与对应裂缝的导流能力基本呈正相关;气藏储层渗透率增大时,温度剖面整体下降。据此还提出了一种基于DTS温度剖面实验数据实现快速定位、识别高产裂缝的方法。为实现基于DTS的气藏压裂水平井裂缝诊断及产出剖面解释提供实验依据。
