Unified fractional differential approach for transient interporosity flow in naturally fractured media     

《Advances in water resources》2014

A unified approach to modeling flows of slightly compressible fluids through naturally fractured media is presented. The unified fractional differential model is derived by combining the flow at micro scale for matrix blocks and macro scale for fractures, using the transient interporosity flow behavior at the interface between matrix blocks and fractures. The derived model is able to unify existing transient interporosity flow models formulated for different shapes of matrix blocks in any medium dimensions. The model is formulated in the form of a fractional order partial differential equation that involves Caputo derivative of order 1/2 with respect to time. Explicit solutions for the unified model are derived for different axisymmetrical spatial domains using Hankel or Hankel–Weber finite or infinite transforms. Comparisons between the predictions of the unified model and those obtained from existing transient interporosity flow models for matrix blocks in the form of slabs, spheres and cylinders are presented. It is shown that the unified fractional derivative model leads to solutions that are very close to those of transient interporosity flow models for fracture-dominant and transitional fracture-to-matrix dominant flow regimes. An analysis of the results of the unified model reveals that the pressure varies linearly with the logarithm of time for different flow regimes, with half slope for the transitional fracture-to-matrix dominant flow regime vs. the fracture and matrix dominant flow regimes. In addition, a new re-scaling that involves the characteristic length in the form of matrix block volume to surface area ratio is derived for the transient interporosity flow models for matrix blocks of different shapes. It is shown that the re-scaled transient interporosity flow models are governed by two dimensionless parameters Θ and Λ compared to only one dimensionless parameter Θ for the unified model. It is shown that the solutions of the transient interporosity flow models for different shapes of matrix blocks are almost identical for the re-scaled variables. Furthermore, the driving parameters for solution behavior are identified based on asymptotic approximations for different flow regimes. It is found that the matrix diffusion and the matrix area-to-volume ratio affect the solution behavior only for the transitional fracture-to-matrix dominant flow regime, that the capacitance ratio affects the solution behavior only for transitional and matrix dominant flow regimes and that the fracture diffusion is involved in all three flow regimes. Similar identification of the driving parameters is also presented in the re-scaled case.  相似文献   

瞬变电磁传感器阻尼特性的标定研究   总被引：3，自引：2，他引：1       下载免费PDF全文

张爽  刘紫秀  陈曙东 《地球物理学报》2014,57(2):662-670

传统瞬变电磁法（TEM）认为临界阻尼匹配时传感器响应快、无振荡,为最佳匹配方式.本文通过建立基于标定环的TEM系统标定模型,理论证明当略欠阻尼匹配时传感器响应最快、时域畸变最小,为最佳匹配方式.本文采用基于实测数据的背景场剔除方法将一次场和大地响应剔除,通过对不同阻尼状态下标定环早期响应畸变的定量评价,实验证明传感器在略欠阻尼匹配状态下二次场响应畸变最小.本文理论和标定实验均证明,在纯二次场观测方式下,采用略欠阻尼匹配方式能够显著降低早期响应畸变、提高系统浅层探测能力,是浅层探测时传感器最佳匹配方式.  相似文献   

瞬变电磁场资料的联合时-频分析解释   总被引：22，自引：0，他引：22       下载免费PDF全文

闫述  陈明生 《地球物理学报》2005,48(1):203-208

本文充分利用瞬变电磁（TEM）信号包含的信息,采用联合时-频分析方法解释了TEM资料。文章选取了Wigner-Ville分布和Gabor展开的联合时-频分布（或表示）,将一维时间域信号拓展到时-频二维平面上,不仅将不同地电断面的响应成功地分开来,而且所显示的信号特征与地层电性结构之间有着明确的物理意义,从时间和频率两个方面同时描述了瞬变涡流场在地层中的激发和衰减的过程。利用时间窗数据和频率窗数据所进行的联合时-频反演,缩小了拟合差,提高了定量解释精度。  相似文献   

Drifting and Meandering of Olive Ridley Sea Turtles in the Bay of Bengal: Role of Oceanic Rossby Waves     

P. Shree Ram  Suryachandra A. Rao  Y. Sadhuram 《Marine Geodesy》2013,36(4):372-378

Olive Ridley turtles in the Bay of Bengal are previously thought to migrate southward from their nesting ground, along the east coast of India (Orissa coast), towards Sri Lanka. Surprisingly, three of the four Platform Transmitter Terminal (PTT) attached turtles in April-June 2001 meandered off the east coast of India for about two months. It is found that these turtles meandered at the peripherals of cold core cyclonic eddy surrounded by warm core eddies on either side. Concentrations of prey for the turtles in those frontal regions are known to be abundant. Only one of the four PTT attached turtles migrated to the south along the frontal regions in the direction of geostrophic currents. It is found that the locations of these thermal fronts in the Bay of Bengal are primarily determined by the Oceanic Rossby waves and local Ekman pumping.  相似文献   

The impact of meso-scale eddies on the Subtropical Mode Water in the western North Pacific   总被引：1，自引：0，他引：1  

Cong Liu  Peiliang Li 《中国海洋大学学报(英文版)》2013,12(2):230-236

Based on the temperature and salinity from the Argo profiling floats and altimeter-derived geostrophic velocity anomaly (GVA) data in the western North Pacific during 2002–2011, the North Pacific Subtropical Mode Water (NPSTMW) distribution is investigated and cyclonic and anti-cyclonic eddies (CEs and AEs) are constructed to study the influence of their vertical structures on maintaining NPSTMW. Combining eddies identified by the GVA data and Argo profiling float data, it is found that the average NPSTMW thickness of AEs is about 60 dbar, which is thicker than that of CEs. The NPSTMW thicker than 150 dbar in AEs accounts for 18%, whereas that in CEs accounts for only 1%. About 3377 (3517) profiles, which located within one diameter of the nearest CEs (AEs) are used to construct the CE (AE). The composite AE traps low-PV water in the center and with a convex shape in the vertical section. The ‘trapped depth’ of the composite CE (AE) is 300 m (550 m) where the rotational velocity exceeds the transitional velocity. The present study suggests that the anticyclonic eddies are not only likely to form larger amounts of NPSTMW, but also trap more NPSTMW than cyclonic eddies.  相似文献   

发射电流波形对瞬变电磁响应的影响   总被引：4，自引：4，他引：0       下载免费PDF全文

陈曙东  林君  张爽 《地球物理学报》2012,55(2):709-716

本文研究了不同发射电流波形对瞬变电磁(TEM)响应的影响,利用自由空间中回线作为目标体,推导出方波、梯形波、半正弦波、三角波激励的响应.研究表明:对于低电导率目标体,同种波形激励的响应在有发射电流期间(on-time)与无发射电流期间(off-time)的幅度相近,四种波形中方波激励响应最强.由于off-time采集可以获得更高的信噪比,因而探测低电导率目标体时一般采用方波激励,采集off-time信号.对于高电导率目标体,off-time响应幅度随电导率增加而迅速下降,而半正弦与三角波激励的on-time响应幅度基本不随电导率变化,因而航空TEM可以采用半正弦与三角波进行on-time采集,并通过适当地提高激励电流的基频,以提高信噪比与空间分辨率.  相似文献   

低阻区利用地回路标定航空TEM系统的理论研究   总被引：2，自引：2，他引：0       下载免费PDF全文

张爽  陈曙东  于群 《地球物理学报》2012,55(8):2779-2786

本文针对吊舱式航空TEM系统,建立了基于地回路的系统参数标定模型,并分别计算了自由空间模型响应(TLR)、均匀大地模型响应(TER)、地回路与大地耦合模型响应(TELR和TLER).由于TER响应表现为幅度沿测线不变,据此提出通过增加拟合参数的方法实现系统标定,消除了TER响应对标定的影响.TELR和TLER早期响应具...  相似文献   

吕宋海峡附近中尺度涡特征的统计分析   总被引：2，自引：0，他引：2  

林宏阳  胡建宇  郑全安 《海洋学报》2012,34(1):1-7

采用1993年1月到2008年12月16a融合海面高度距平数据,追踪吕宋海峡附近海域(18°～23°N,116°～126°E)中尺度涡的移动轨迹,结果表明:时间分辨率为7d的卫星高度计资料难以观测到中尺度涡从西北太平洋通过吕宋海峡传进南海的过程,但对1994年吕宋海峡中部观测到的一个气旋涡及其附近中尺度涡的运动轨迹进行分析可见,西北太平洋海面高度变化会与吕宋海峡内部海面高度耦合后向南海传播。海面高度距平数据的时间-经度图表明,西北太平洋海面高度变化信号在西传至吕宋海峡附近(121°～122°E)时出现信号不连续。对21°N,116°～140°E断面的海面高度距平数据按周期分别为1～3月、3～6月、330～390d(年信号)进行分段带通滤波,发现不同周期的西北太平洋信号穿过吕宋海峡传入南海受到的阻隔作用、向西传播的速度以及它们所受的强迫机制均不同。  相似文献   

Post-seismic crustal deformation and strain rate in Bhuj region, western India, after the 2001 January 26 earthquake     

C. D. Reddy  P. S. Sunil 《Geophysical Journal International》2008,172(2):593-606

  相似文献   

Instantaneous deformation from continuous GPS: contributions from quasi-periodic loads   总被引：3，自引：0，他引：3  

Richard A. Bennett 《Geophysical Journal International》2008,174(3):1052-1064

Continuous GPS (CGPS) coordinate time-series are known to experience repeating deformation signals with seasonal and other periods. It is unlikely that these signals represent perfect sinusoids with temporally constant amplitude. We develop an analysis method that accommodates temporal variations in the amplitudes of sinusoidal signals. We apply the method to simulated coordinate time-series to numerically explore the potential consequences of neglecting decadal variation in amplitude of annual motions on the residual-error spectra of CGPS measurements, as well as potential bias in estimates for secular site velocity. We find that secular velocity bias can be appreciable for shorter time-series, and that residual-error time-series of longer duration may contain significant power in a broad band centred on semi-annual frequency if temporal variation in the amplitude of annual motions is not accounted for in the model used to reduce the observations to residuals. It may be difficult to differentiate the bandpass filtered signature of mismodelled loading signals from power-law noise, using residual-error spectra for shorter time-series. We provide an example application to a ∼9-yr coordinate time-series for a CGPS station located in southern California at Carbon Creek Control Structure (CCCS), which is known to experience large amplitude seasonal motions associated with the Santa Ana aquifer system.  相似文献