Solution for a plane strain rough‐walled hydraulic fracture driven by turbulent fluid through impermeable rock          下载免费PDF全文

N. Zolfaghari  E. Dontsov  A. P. Bunger 《国际地质力学数值与分析法杂志》2018,42(4):587-617

The impact of turbulent flow on plane strain fluid‐driven crack propagation is an important but still poorly understood consideration in hydraulic fracture modeling. The changes that hydraulic fracturing has experienced over the past decade, especially in the area of fracturing fluids, have played a major role in the transition of the typical fluid regime from laminar to turbulent flow. Motivated by the increasing preponderance of high‐rate, water‐driven hydraulic fractures with high Reynolds number, we present a semianalytical solution for the propagation of a plane strain hydraulic fracture driven by a turbulent fluid in an impermeable formation. The formulation uses a power law relationship between the Darcy‐Weisbach friction factor and the scale of the fracture roughness, where one specific manifestation of this generalized friction factor is the classical Gauckler‐Manning‐Strickler approximation for turbulent flow in a rough‐walled channel. Conservation of mass, elasticity, and crack propagation are also solved simultaneously. We obtain a semianalytical solution using an orthogonal polynomial series. An approximate closed‐form solution is enabled by a choice of orthogonal polynomials embedding the near‐tip asymptotic behavior and thus giving very rapid convergence; a precise solution is obtained with 2 terms of the series. By comparison with numerical simulations, we show that the transition region between the laminar and turbulent regimes can be relatively small so that full solutions can often be well approximated by either a fully laminar or fully turbulent solution.  相似文献   

Correction to: Structure of the Transition Region and the Low Corona from TRACE and SDO Observations Near the Limb     

Alissandrakis  C. E.  Valentino  A. 《Solar physics》2019,294(10):1-12

  相似文献   

Recent Tectonic Rupturing on the Mud Volcano of Mount Karabetova,Taman Peninsula     

Ovsyuchenko  A. N.  Larkov  A. S.  Sysolin  A. I.  Rogozhin  E. A.  Sobisevich  A. L.  Chen  J.  Liu  J.  Qin  J. 《Doklady Earth Sciences》2020,492(1):361-365

Doklady Earth Sciences - In October 2019, extremely impressive, fresh ruptures of the surface on the mud volcano of Mount Karabetova were discovered. The ruptures are represented by all the main...  相似文献   

First Find of Platinum in Cosmogenic Spherules of Ferromanganese Crusts (Fedorov Guyot,Magellan Seamounts,Pacific Ocean)     

Savelyev  D. P.  Khanchuk  A. I.  Savelyeva  O. L.  Moskaleva  S. V.  Mikhailik  P. E. 《Doklady Earth Sciences》2020,491(2):199-203

Doklady Earth Sciences - More than 250 magnetic spherules 40–200 µm in size were mechanically separated from a ferromanganese crust sample of Fedorov Guyot in the Magellan Seamounts. The...  相似文献   

Geostatistical features of streambed vertical hydraulic conductivities in Frenchman Creek Watershed in Western Nebraska     

Olufemi P. Abimbola  Aaron R. Mittelstet  Troy E. Gilmore 《水文研究》2020,34(16):3481-3491

This study evaluated the spatial variability of streambed vertical hydraulic conductivity (K_v) in different stream morphologies in the Frenchman Creek Watershed, Western Nebraska, using different variogram models. Streambed K_v values were determined in situ using permeameter tests at 10 sites in Frenchman, Stinking Water and Spring Creeks during the dry season at baseflow conditions. Measurements were taken both in straight and meandering stream channels during a 5 day period at similar flow conditions. Each test site comprised of at least three transects and each transect comprised of at least three K_v measurements. Linear, Gaussian, exponential and spherical variogram models were used with Kriging gridding method for the 10 sites. As a goodness-of-fit statistic for the variogram models, cross-validation results showed differences in the median absolute deviation and the standard deviation of the cross-validation residuals. Results show that using the geometric means of the 10 sites for gridding performs better than using either all the K_v values from the 93 permeameter tests or 10 K_v values from the middle transects and centre permeameters. Incorporating both the spatial variability and the uncertainty involved in the measurement at a reach segment can yield more accurate grid results that can be useful in calibrating K_v at watershed or sub-watershed scales in distributed hydrological models.  相似文献   

Algorithm for the Atmospheric Correction of Shortwave Channels of the MSU-MR Radiometer of the Meteor-M No. 2 Satellite     

Kuchma  M. O.  Bloshchinskiy  V. D. 《Izvestiya Atmospheric and Oceanic Physics》2020,56(9):909-915

Izvestiya, Atmospheric and Oceanic Physics - The problem of atmospheric correction for shortwave channels of a multispectral low-resolution scanning radiometer onboard the Meteor-M No. 2 satellite...  相似文献   

Traces of Seismic Activity in Architectural Monuments in Derbent,Dagestan     

Korzhenkov  A. M.  Gadzhiev  M. S.  Ovsyuchenko  A. N.  Lar’kov  A. S.  Rogozhin  E. A. 《Izvestiya Atmospheric and Oceanic Physics》2020,56(7):633-656

Izvestiya, Atmospheric and Oceanic Physics - As a result of studies conducted in the city of Derbent, it is established that its monumental fortification structures erected at the end of the 560s...  相似文献   

Impact of Reservoir Permeability,Permeability Anisotropy and Designed Injection Rate on CO2 Gas Behavior in the Shallow Saline Aquifer at the CaMI Field Research Station,Brooks, Alberta     

Yu  Xinran  Ahmadinia  Masoud  Shariatipour  Seyed M.  Lawton  Don  Osadetz  Kirk  Saeedfar  Amin 《Natural Resources Research》2020,29(4):2735-2752

Natural Resources Research - Carbon capture and storage is part of Canada’s climate change action plan to reduce greenhouse gas emissions. The Containment and Monitoring Institute Field...  相似文献   

A Study on the Surface Wettability of Clastic Rocks with Potential Application for CO2 Storage Sites     

Umar  Bappah Adamu  Gholami  Raoof  Raza  Arshad  Downey  William Samuel  Sarmadivaleh  Mohammad  Shah  Afroz A.  Nayak  Prasanta 《Natural Resources Research》2020,29(3):2051-2061

Natural Resources Research - There have been many studies carried out in the past decades attempting to develop strategies for a safe injection of CO2 into storage sites without leakage and...  相似文献   

Evaluation of Interactions Between Oilfield Chemicals and Reservoir Rocks     

Wuyep  E. O.  Oluyemi  G. F.  Yates  K.  Akisanya  A. R. 《Natural Resources Research》2020,29(2):1239-1258

Natural Resources Research - Sand failure and production occurs when the formation stress exceeds the strength of the formation, which is derived majorly from the natural material that cements the...  相似文献