A fractally fractional diffusion model of composite dual-porosity for multiple fractured horizontal wells with stimulated reservoir volume in tight gas reservoirs
A fractally fractional diffusion model of composite dual-porosity for multiple fractured horizontal wells with stimulated reservoir volume in tight gas reservoirs
复制标题
致密气藏储量改造多裂缝水平井复合双孔隙分形分数扩散模型
DOI：
10.1016/j.petrol.2018.10.011
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发表时间：
2019-02
影响因子：
--
通讯作者：
Cong Xiao
中科院分区：
文献类型：
--
作者：
Daihong Gu;Daoquan Ding;Zeli Gao;Leng Tian;Lu Liu;Cong Xiao
基于分形理论（FT）和分数阶微积分（FC），建立了一种新的复合双重介质分形分数阶扩散模型（FFDM），用于致密气藏多裂缝水平威尔斯井（MFHWs）产能评价。更具体地说，FT是用来表征的复杂和非均质的裂缝网络（FN）的内部和外部的SRV，而扩散过程的内部和外部的SRV的异常行为进行量化，通过应用时间分数阶导数。FFDM的解决，然后通过拉普拉斯变换，线源函数，数值离散方法，叠加原理。利用Stehfest算法将瞬态压力响应从拉普拉斯域逆变换到真实的时域，验证了FFDM方法的有效性，并生成了典型曲线。通过对典型曲线特征的分析，特别是与常规欧氏模型不同的异常特征，识别了流动阶段。对相关参数的敏感性分析也进行了讨论。并将FFDM模型与TGR中一个带SRV的MFHW的真实的现场试井资料进行了拟合。建议FFDM提供了一个新的理解MFHWs的性能与SRV在TGRs，它可以用来解释现场压力数据更准确和适当的。
Based on fractal theory (FT) and fractional calculus (FC), a new fractally fractional diffusion model (FFDM) of composite dual-porosity has been developed to evaluate performance of multiple fractured horizontal wells (MFHWs) with stimulated reservoir volume (SRV) in tight gas reservoirs (TGRs). More specifically, FT is used to characterize the complex and heterogeneous fracture network (FN) both inside and outside of SRV, while anomalous behavior of diffusion processes both inside and outside of SRV is quantified by applying the temporal fractional derivatives. The FFDM is then solved by the Laplace transformation, line source function, the numerical discrete method, and superposition principle. The transient pressure responses are then inversely converted from Laplace domain into real time domain with the Stehfest algorithm, and the FFDM is also validated, and type curves are generated as well. Flow stages are subsequently identified together with analysis on characteristics of the type curves, especially the anomalous features different with those generated from the conventional Euclidean model. Sensitivity analyses of some related parameters have also been discussed as well. And the FFDM is then also matched with the real field well-testing data of a MFHW with SRV in a TGR. The proposed FFDM provides a new understanding of the performance of MFHWs with SRV in TGRs, which can be used to interpret the field pressure data more accurately and appropriately.
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DOI：
10.1016/j.amc.2014.12.124
发表时间：
2015-02
期刊：
Appl. Math. Comput.
影响因子：
--
作者：
K. Razminia;A. Razminia;Delfim F. M. Torres
通讯作者：
K. Razminia;A. Razminia;Delfim F. M. Torres
影响因子：
2.1
作者：
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通讯作者：
Kazemi, H.
影响因子：
3.6
作者：
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Daoyong Yang;Feng Zhang;J. A. Styles;Junmin Gao
影响因子：
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作者：
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通讯作者：
Shirish Patil
DOI：
10.2118/203-g
发表时间：
1953-06
期刊：
Journal of Petroleum Technology
影响因子：
--
作者：
A. V. Everdingen
通讯作者：
A. V. Everdingen