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   

Comment on “Elevated tungsten and cobalt in airborne particulates in Fallon,Nevada: Possible implications for the childhood leukemia cluster” by P.R. Sheppard,G. Ridenour,R.J. Speakman and M.L. Witten     

《Applied Geochemistry》2006,21(6):1083-1085

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Sorption of Ni on Na-rectorite studied by batch and spectroscopy methods     

Xiaoli Tan  Changlun Chen  Shaoming Yu  Xiangke Wang 《Applied Geochemistry》2008

Sorption of Ni²⁺ on Na-rectorite as a function of contact time, temperature, pH and fulvic acid (FA)/humic acid (HA) was studied under ambient conditions. A pseudo-second-order rate equation was used to simulate the kinetic sorption. The removal of Ni²⁺ increased with increasing pH. The presence of FA/HA enhanced the sorption of Ni²⁺ at low pH values, whereas no drastic effect of FA/HA on Ni²⁺ uptake to rectorite was found at high pH values. The diffuse layer model (DLM) fitted the experimental data of Ni²⁺ sorption in the absence and presence of FA/HA very well with the aid of FITEQL 3.2. The Langmuir, Freundlich and Dubinin–Radushkevich (D–R) models were used to simulate the sorption isotherms of Ni²⁺ at different temperatures. The thermodynamic data (ΔH⁰, ΔS⁰, ΔG⁰) were calculated from the temperature dependent sorption isotherms and the results suggested that the sorption process of Ni²⁺ on rectorite was spontaneous and endothermic. The sorption and species of Ni²⁺ on rectorite in the presence and absence of FA/HA was also investigated and characterized by XPS. The spectroscopic analysis indicated no drastic structural changes of Na-rectorite and the sorption of Ni²⁺ mainly occurred on the surface and at the edge position of Na-rectorite.  相似文献   

Cd2+在甘肃靖远坡缕石粘土上的吸附作用研究   总被引：2，自引：1，他引：1  

郝艳玲  范福海 《岩石矿物学杂志》2008,27(6):567-571

以提纯后的甘肃靖远坡缕石粘土作吸附剂,常温下对水中Cd2 进行吸附实验,考察了吸附时间、吸附剂用量、振荡速率及pH值对吸附效果的影响,并对吸附动力学过程和吸附平衡进行了探讨.XRD和红外光谱分析结果显示,原矿在提纯后杂质石英被有效分离,得到了坡缕石含量较高的提纯样品.吸附实验结果显示,约60 min吸附反应可达平衡;pH值对吸附效果有显著影响,吸附率随pH值的升高而增加,当平衡溶液pH>8时吸附率超过99%;吸附过程与pseudo-second-order Lagergren动力学模型方程有较好的一致性,吸附平衡同时符合Langmuir和Freundlich等温吸附模型,由Langmuir方程得到饱和吸附量为31.65 mg/g.  相似文献   

雨生红球藻β-胡萝卜素酮化酶基因克隆、分析及叶绿体表达载体构建     

檀琮萍  梁成伟  苏忠亮  秦松 《海洋通报》2007,26(1):35-40

β-胡萝卜素酮化酶(BKT)是雨生红球藻虾青素合成途径中的关键酶。根据GenBank中所收录的雨生红球藻BKT的cDNA序列设计特异性引物,以高光照处理的雨生红球藻细胞的总RNA为模板,采用RT-PCR的方法克隆出了β-胡萝卜素酮化酶基因(bkt)。序列测定结果表明,bkt全长960bp编码320个氨基酸。克隆的bkt序列与GenBank收录的BKT的cDNA(AY603347)序列只相差一个碱基。并对其编码的氨基酸进行了二级结构的预测和疏水性分析。同时将所克隆的bkt构建入衣藻叶绿体表达载体p64Dbkt,为基因的进一步表达研究及探索其作用机制奠定了基础。  相似文献   

Study on the kinetics of iron oxide leaching by oxalic acid   总被引：2，自引：0，他引：2  

Suong Oh Lee  Tam Tran  Yi Yong Park  Seong Jun Kim  Myong Jun Kim   《International Journal of Mineral Processing》2006,80(2-4):144-152

The presence of iron oxides in clay or silica raw materials is detrimental to the manufacturing of high quality ceramics. Although iron has been traditionally removed by physical mineral processing, acid washing has been tested as it is more effective, especially for extremely low iron (of less than 0.1% w/w). However, inorganic acids such as sulphuric or hydrochloric acids easily contaminate the clay products with SO₄²⁻ and Cl⁻, and therefore should be avoided as much as possible. On the other hand, if oxalic acid is used, any acid left behind will be destroyed during the firing of the ceramic products. The characteristics of dissolution of iron oxides were therefore investigated in this study.The dissolution of iron oxides in oxalic acid was found to be very slow at temperatures within the range 25–60 °C, but its rate increases rapidly above 90 °C. The dissolution rate also increases with increasing oxalate concentration at the constant pH values set within the optimum range of pH2.5–3.0. At this optimum pH, the dissolution of fine pure hematite (Fe₂O₃) (105–140 μm) follows a diffusion-controlled shrinking core model. The rate expression expressed as 1 − (2 / 3)x − (1 − x)^2 / 3 where x is a fraction of iron dissolution was found to be proportional to [oxalate]^1.5.The addition of magnetite to the leach liquor at 10% w/w hematite was found to enhance the dissolution rate dramatically. Such addition of magnetite allows coarser hematite in the range 0.5–1.4 mm to be leached at a reasonable rate.  相似文献   

Miscibility in the CaSO4·2H2O–CaSeO4·2H2O system: Implications for the crystallisation and dehydration behaviour     

《Chemical Geology》2006,225(3-4):256-265

SeO₄²⁻ ions can substitute for sulphate in the gypsum structure. In this work crystals of different Ca(SO₄,SeO₄)·2H₂O solid solutions were precipitated by mixing a CaCl₂ solution with solutions containing different ratios of Na₂SO₄ and Na₂SeO₄. The compositions of the precipitates were analysed by EDS and the cell parameters were determined by X-ray powder diffraction. Moreover, a comparative study on dehydration behaviour of selenate rich and sulfate rich Ca(SO₄,SeO₄)·2H₂O solid solutions was carried out by thermogravimetry.The experimental results show that the Ca(SO₄,SeO₄)·2H₂O solid solution presents a symmetric miscibility gap for compositions ranging from X_CaSO4·2H2O = 0.23 to X_CaSO4·2H2O = 0.77. By considering a regular solution model a Guggenheim parameter a₀ = 2.238 was calculated. The solid phase activity coefficients obtained with this parameter were used to calculate a Lippmann diagram for the system Ca(SO₄,SeO₄)·2H₂O–H₂O.  相似文献   

Late Neoproterozoic,Ordovician and Carboniferous events recorded in monazites from southern-central Madagascar     

《Precambrian Research》2006,144(3-4):278-296

The evolution of the basement of southern Madagascar north and south of the Ranotsara shear zone was investigated using (U + Th)/Pb electron probe monazite age dating in combination with petrographic constraints. Several monazite grains show a stepwise progression of younger ages towards the rim indicating partial and complete resetting during tectonic, metamorphic and/or fluid events. The oldest ages, ranging from 630–2400 Ma, occur relatively rare in relic cores. A first, clear age-population is dated at 550–560 Ma. Most ages fall in two populations at 420–460 and 490–500 Ma, which in some samples overlap in error. We interprete these ages as dating low-pressure and high-temperature metamorphism. We have also clear evidence for Carboniferous (300–310 Ma) monazite overgrowth rims, which can not directly be related to macroscopic structures or metamorphic parageneses. In combination with literature data, we propose that the observed monazite age populations are related to Gondwana amalgamation and subsequent rifting events during the break up of Gondwana. Our study confirms that only the electron or ion microprobe yields sufficient spatial resolution to date individual shells of multiple zoned monazites in the polymetamorphic basement of Madagascar.  相似文献   

Apparent seasonal variations in iron photoreduction in acidic discharge from a former pyrite mine,Oakland, California     

《Applied Geochemistry》2006,21(7):1109-1122

This study investigates a watershed influenced by acid mine drainage emanating from the former Leona Heights Sulfur Mine, located in Oakland, California. The primary factors that temporally controlled the magnitude of iron photoreduction included initial iron concentration, incident ultraviolet radiation, water temperature, biotic oxidation, flow rates, and the Fe(III) species present. Vegetation was not expected to seasonally influence the amount of incoming solar radiation reaching the water surface as the tree canopy contained significant cover during both the April and July monitoring events. Accordingly, it was anticipated that iron photoreduction would be greatest during the summer when both incoming ultraviolet radiation and dissolved iron were at a maximum. This was, however, not the case. A substantial decline in the apparent magnitude of iron photoreduction occurred during the summer/dry season (July) with respect to measurements taken during the spring/wet season (April). The primary reasons for the observed phenomenon were attributed to factors which may seasonally control the physical presence of iron oxidizing bacteria at the site and water temperature, which influences the optimum rate of bacterially mediated iron oxidation.  相似文献   

Multi-method study of the characteristic chemical nature of aquatic humic substances isolated from the Han River,Korea   总被引：1，自引：0，他引：1  

《Applied Geochemistry》2006,21(7):1226-1239

Natural organic matter (NOM) from the Han River, Korea was fractionated into humic and non-humic fractions by absorbing onto XAD-7HP, and these fractions were analyzed using UV-absorption, and for dissolved organic C (DOC). The humic fraction (i.e. humic substances; HS) was extracted and its characteristics were compared to commercial humic materials using various spectroscopic methods such as Fourier transform infrared (FT-IR), proton nuclear magnetic resonance (¹H-NMR) and fluorescence spectroscopy. The humic fraction as organic C was 47.0% on the average, however, a rainfall event brought a higher humic fraction into Han River water. The molar ratios of H/C and O/C in the HS from Han River water (HRHS) were 1.40 and 0.76, respectively, and the ratio of aliphatic to aromatic protons in the HS (P_Al/P_Ar ratio) was 5.8. Aromaticity and humification degree (i.e., degree of condensation) of HRHS were relatively lower than those from other humic materials, while the portion of oxygenated functional groups was relatively higher. FT-IR, ¹H-NMR and fluorescence spectroscopy showed distinct differences between HRHS and the commercial humic materials. Commercial humic materials are not representative of HS extracted from Han River water. The fluorescence spectra, relatively simple measurements, were found to be most useful as fingerprints for humic materials from particular sources.  相似文献