青海省都兰县八道班一带晚三叠世侵入岩岩石地球化学特征及构造环境

青海省都兰县八道班一带侵入岩的岩性为石英闪长岩至正长花岗岩的岩浆演化序列,其空间具有北西-南东向带状分布的特点,为准铝质、高钾、钙碱性镁质花岗岩;稀土总量REE中等,轻重稀土分异和轻稀土分馏强烈;大离子亲石元素(LILE)Rb、K等相对富集,Ba、Sr等相对亏损;高场强元素(HFSE)Th、Hf等相对富集,Nb、Ta、Ti等相对亏损,且由石英闪长岩→花岗闪长岩→二长花岗岩→正长花岗岩演化,相对富集和相对亏损的程度逐渐增强;源岩以壳源为主,亦有幔源物质加入,属壳-幔混合型花岗岩。岩石具"C"型高硅埃达克岩特征。其锆石U-Pb同位素年龄在237~224Ma之间,侵位时代为晚三叠世;其成因是印支晚期西秦岭构造单元向柴达木东南缘斜向俯冲的产物。本区发现埃达克质岩对于与埃达克岩有关斑岩铜矿成矿规律的研究和找矿意义重大。     

冈底斯中段扎扎龙矿区闪长岩体锆石U-Pb年代学、岩石地球化学特征及其意义

扎扎龙矿区位于西藏冈底斯中段,隆格尔念青唐古拉铁、铜、铅、锌、银成矿带之西段。岩石学、LA-ICP-MS锆石U-Pb测年及岩石地球化学特征研究显示:扎扎龙矿区闪长岩体的岩石类型主要为闪长岩,个别为石英闪长岩,其LA-ICP-MS锆石U-Pb年龄为(64.15±0.52) Ma,形成于古新世(E₁)早期;闪长岩体属准铝质过铝质岩石(A/CNK值为0.89~1.06),具高钾钙碱性系列的特征;稀土元素表现为轻稀土弱富集的右倾斜型,绝大多数(La/Yb)_N为1.78~2.08,具弱的负铕异常(δEu=0.65~0.81);微量元素普遍表现出K、Th元素的富集和Nb、P、Ti元素的强烈亏损。扎扎龙闪长岩体源区为壳幔混合源区,形成于雅鲁藏布江洋高角度俯冲阶段,暗示了印度-亚洲大陆碰撞时间应晚于65 Ma。     

内蒙古东乌旗葛根敖包石英闪长岩岩体年代学、地球化学及其地质意义

内蒙古东乌旗地区新近发现的葛根敖包铅锌矿,成矿与赋矿岩体石英闪长岩关系密切,对石英闪长岩进行系统的LAICP-MS锆石U-Pb定年及锆石Hf同位素分析,并对石英闪长岩进行主量、微量和稀土元素分析。锆石U-Pb定年结果显示,石英闪长岩2个样品的锆石U-Pb年龄分别为299±1Ma和301±1Ma,均为晚石炭世。岩石主量、微量及稀土元素分析显示,石英闪长岩具有典型的富硅、富碱特征,Na_2O/K_2O值为1.14～1.93,平均1.39,明显富钠高钾,属高钾钙碱性系列;铝饱和指数A/CNK值为0.79～0.95,为准铝质或铝不饱和花岗岩类;轻、重稀土元素分馏显著,球粒陨石标准化稀土元素配分模式表现为明显的右倾,显示岩浆源区可能有石榴子石残留;并有微弱负Eu异常,δEu=0.80～0.91,δCe=0.89～0.96,均靠近1,指示源区无斜长石残留;同时具低Sr、高Yb特征;并指示高场强元素U、La、Nd、Zr相对富集,而Th、Nb、Sr、P、Ti相对亏损,且大离子亲石元素Rb、Ba、K相对富集,Nb/Ta值低,指示岩浆源区可能为幔源为主。锆石Hf同位素分析显示,εHf(t)值全部为正值,+10.8～+13.6(全部大于10,较高),TDM2介于440～629Ma之间,相对集中,明显大于其锆石U-Pb年龄,其年轻的TDM2年龄和较高的εHf(t)值表明,岩浆中有相当大的幔源物质的贡献。结合区域构造演化,认为葛根敖包石英闪长岩岩浆源区可能为亏损地幔物质部分熔融并在上升过程中受到少量壳源物质的混染,为活动陆缘弧环境的产物。     

冈底斯中段卡热辉长岩锆石U- Pb年代学、地球化学及构造意义

以冈底斯中段曲水县西南方向卡热乡一带出露的辉长岩为研究对象,进行了LA-ICP-MS锆石UPb测年以及全岩地球化学的系统测定,据此讨论岩石的成因及其构造意义。该辉长岩主要由单斜辉石和斜长石组成,辉长岩具有低硅、贫碱、富铝,中等富集轻稀土,富集大离子亲石元素,亏损高场强元素的地球化学特征,与岛弧和大陆边缘地区产出的高铝玄武岩化学组成十分相似,表明辉长岩原生岩浆为被俯冲改造的岩石圈幔源岩浆,在演化过程中受到了上地壳物质的混染。锆石LA-ICP-MS U-Pb年龄为49.01±0.51Ma(MSWD=0.41),指示岩体形成时代为始新世。卡热辉长岩具有显著亏损的锆石Hf同位素组成,εHf(t)值均为正值,分布在+10.88～+13.71之间,综合分析表明卡热辉长质侵入体可能为近期遭受俯冲板片析出流体交代作用的亏损地幔部分熔融的产物。结合区域构造演化史认为该岩体在冈底斯南缘的始新世期间存在着强烈的岩浆底侵和壳幔岩浆混合作用。     

西藏羌塘南缘青草山北花岗闪长岩锆石U-Pb年代学、地球化学特征及其成矿意义

青草山北花岗闪长岩体位于班公湖-怒江缝合带北侧、羌塘陆块南缘,呈岩脉、岩株状与晚二叠世龙格组碳酸盐岩呈侵入接触。本文对该花岗闪长岩的锆石进行了LA-ICP-MS U-Pb年代学和岩石地球化学研究,其岩浆锆石U-Pb年龄为154.8±1.2Ma(MSWD=1.7),属晚侏罗世,与热那错埃达克质英安岩年龄高度一致,岩石地球化学特征显示,青草山北花岗闪长岩属于准铝质、高钾钙碱性系列,富集轻稀土元素、大离子亲石元素,亏损重稀土元素、高场强元素,具弱Eu负异常,显示出典型岛弧岩浆岩特征;锆石原位微量元素分析表明,锆石总体富集重稀土,相对亏损轻稀土,在锆石Nb/Ta-Y图解中样品点落入金伯利岩区域,而在岩石地球化学构造环境判别图解中,样品点同样指示其可能来源于幔源岩浆。青草山北花岗闪长岩班公湖-怒江洋壳晚侏罗世北向俯冲到一定深度后,俯冲洋壳发生部分熔融,形成的岩浆在上升的过程中与地幔楔发生混染,其中,部分岩浆在侵位的过程中形成中酸性的花岗闪长质岩浆房,部分岩浆则喷出地表,形成热那错组英安岩。     

新疆东天山中段玉林花岗岩体锆石U-Pb测年及地球化学特征

玉林花岗岩体位于东天山中段觉罗塔格构造带,对玉林花岗岩体开展了锆石U-Pb年代学及岩石地球化学研究。LA-ICP-MS锆石U-Pb测年结果为(327.1±6.6)Ma,为早石炭世岩浆活动的产物。岩石地球化学结果表明,玉林花岗岩体SiO_2含量为66.34%~67.52%,Al_2O_3含量为15.21%~15.7%,全碱含量为5.39%~7.57%,A/CNK为0.877~0.988,小于1.1,属准铝质-低钾钙碱性系列的花岗闪长岩类。岩石具有明显的轻重稀土分异,富集K,Sr等大离子亲石元素,相对亏损Nb,Th,Ti等高场强元素,为火山弧花岗岩,显示与埃达克岩相似的地球化学性质。结合岩石地球化学及同位素特征,认为玉林花岗岩体可能来源于俯冲洋壳的熔融,并在上升过程中受到地幔楔物质的影响,形成于洋壳俯冲下的岛弧环境。     

西藏刘琼村北始新世石英闪长岩的成因及其地质意义

本文以西藏刘琼村北始新世石英闪长岩为研究对象,通过岩石学、岩石地球化学方法及锆石同位素年代测定,分析了岩浆起源、岩石成因及形成的构造环境。LA-ICP-MS锆石U-Pb定年结果显示,岩体形成于始新世(53.74Ma~55.94Ma)。岩石属准铝质钙碱性系列,富集大离子亲石元素(K、U、Rb、Ba)和轻稀土(LREE),亏损高场强元素(Nb、Ta、Ti、Zr)和重稀土(HREE),无明显Eu异常。锆石ε_Hf(t)值为+10~+14.9,单阶式Hf模式年龄(t_DM1)集中在192.9~341.8之间,表明岩浆源区来自于亏损地幔中新增生出来的年轻地壳,具S型花岗岩地球化学特征,推断其形成于同碰撞构造环境,表明始新世时期冈底斯南缘处于新特提斯洋与拉萨地块同碰撞构造环境背景之下。     

西藏南部冈底斯南缘松卡晚白垩世埃达克质高镁闪长岩地球化学特征及其成因

松卡岩体地处藏南冈底斯岩基南缘的东段,主要由闪长岩和花岗岩脉组成,为详细研究与大洋俯冲有关的岩浆过程提供了良好的记录。锆石U-Pb地质年代学研究表明松卡岩体闪长岩的形成年龄为97Ma,具有高Sr、低Y和高Sr/Y比的特点,显示出埃达克质岩石的特征,同时具有高MgO含量和高Mg~#值,以及较低的~(87)Sr/~(86)Sr(t)(～0.7042)和较高的ε_(Nd)(t)(+4.6～+8.8),是俯冲新特提斯洋壳和少量海洋沉积物部分熔融并随后与上覆地幔楔发生相互作用形成的。与91Ma松卡埃达克质岩石相比,97Ma松卡埃达克质闪长岩具有更多地幔物质参与。松卡花岗岩脉的锆石U-Pb年龄为93Ma,同样具有较低的~(87)Sr/~(86)Sr(t)(0.7046)值和较高的ε_(Nd)(t)(+7.5～+7.8)值,可能是具有亏损地幔特征的中基性岩浆经过分离结晶作用演化而来。上述数据表明,在100～90Ma期间,较年轻的俯冲新特提斯板片可能发生过部分熔融,板片部分熔融熔体与上覆地幔楔的相互作用是形成高镁闪长岩(安山岩)的重要机制之一。     

太行山南段矿山杂岩体LA-ICP-MS锆石U-Pb年代学、地球化学及其地质意义

太行山南段矿山杂岩体主要由闪长岩、石英闪长岩及二长闪长岩组成,LA-ICP-MS锆石U-Pb测年显示,闪长岩形成于125.2Ma±1.4Ma—126.9 Ma±1.3 Ma,说明该岩体形成于早白垩世。矿山杂岩体具有高w(Sr)(557×10~(-6)～985×10~(-6))和w(Sr)/w(Y)(30.9～61.8)值,低w(Y)(11.52×10~(-6)～22.10×10~(-6))和w(Yb)(1.30×10~(-6)～2.00×10~(-6))值的特征,这和埃达克岩相似。Th、U和大离子亲石元素(Rb、Ba、K)富集,高场强元素(Nb、Ta、Zr、Hf)亏损。稀土元素配分曲线近乎一致,均显示为轻稀土富集、弱正铕异常的右倾型的特点。综合岩性组合、岩相特点、地球化学特征和锆石年代学特征认为,矿山杂岩体是在下地壳大规模拆沉基础上,经过连续俯冲的影响,拆沉下来的物质诱发软流圈上涌而部分熔融,并交代上覆亏损地幔岩体使其发生部分重熔为高Mg的类似埃达克岩浆而形成的。     

西藏纳如松多铅锌矿区晚白垩世石英闪长岩形成机制及其地质意义:岩浆锆石证据

西藏纳如松多铅锌矿床是冈底斯北侧银铅锌多金属成矿带中的典型矿床,文章利用LA-ICP-MS测试技术,对矿区石英闪长岩开展了详细的锆石U-Pb年代学、锆石微量元素和Hf同位素地球化学特征研究,以此调查其岩浆源区特征,探讨其形成机制并试图探究其成矿潜力。纳如松多矿区石英闪长岩锆石U-Pb年龄为(85.2±1.1)Ma,早于矿区内大规模成矿事件,为晚白垩世岩浆活动的产物。石英闪长岩锆石稀土元素表现为LREE亏损、HREE富集的左倾配分模式,并具有明显的负Eu异常和正Ce异常特征,δEu变化于0.06~0.36之间,δCe变化于5.85~248.22之间。石英闪长岩的锆石176Hf/177Hf分布于0.282 679~0.282 766之间,εHf(t)值变化于-1.44~1.70,单阶段模式年龄TDM集中于679~804 Ma,二阶段模式年龄TDM2值集中于1047~1245 Ma之间。综合分析显示纳如松多矿区石英闪长岩来自于地幔和地壳2个不同的源区,并结晶于陆壳环境。纳如松多铅锌矿区石英闪长岩锆石的Ce(Ⅳ)/Ce(Ⅲ)比值除个别点外均低于100,且δEu集中于0.04~0.22之间,远小于0.4,为还原性岩体,由此推断石英闪长岩还原性的岩浆岩特征可能是其未能具有成矿能力的原因之一。     

Wavelength-dispersive X-ray fluorescence spectrometric determination of Sc, V, Cr, Co, Ni, Cu, Zn, Rb, Sr, Y, Zr, Nb, Ba, Pb, and Th in komatiites

Komatiites are mantle-derived ultramafic volcanic rocks. Komatiites have been discovered in several States of India, notably in Karnataka. Studies on the distribution of trace-elements in the komatiites of India are very few. This paper proposes a simple, accurate, precise, rapid, and non-destructive wavelength-dispersive x-ray fluorescence (WDXRF) spectrometric technique for determining Sc, V, Cr, Co, Ni, Cu, Zn, Rb, Sr, Y, Zr, Nb, Ba, Pb, and Th in komatiites, and discusses the accuracy, precision, limits of detection, x-ray spectral-line interferences, inter-element effects, speed, advantages, and limitations of the technique. The accuracy of the technique is excellent (within 3%) for Sc, V, Cr, Co, Ni, Cu, Zn, Rb, Sr, Zr, Nb, Ba, Pb, and Th and very good (within 4%) for Y. The precision is also excellent (within 3%) for Sc, V, Cr, Co, Ni, Cu, Zn, Rb, Sr, Y, Zr, Nb, Ba, Pb, and Th. The limits of detection are: 1 ppm for Sc and V; 2 ppm for Cr, Co, and Ni; 3 ppm for Cu, Zn, Rb, and Sr; 4 ppm for Y and Zr; 6 ppm for Nb; 10 ppm for Ba; 13 ppm for Pb; and 14 ppm for Th. The time taken for determining Sc, V, Cr, Co, Ni, Cu, Zn, Rb, Sr, Y, Zr, Nb, Ba, Pb, and Th in a batch of 24 samples of komatiites, for a replication of four analyses per sample, by one operator, using a manual WDXRF spectrometer, is only 60 hours.     

硅酸盐类样品中硅、铁、铝、钛、锰、钙、镁、钾、钠和磷的x射线荧光光谱测定

本文拟定了一种以熔融法制备样片,用X射线荧光光谱测定硅酸盐类样品中Si、Fe、Al、Tj、Mn、Ca、Mg、K、Na、P等元素的分析方法。在对不同靶材X光管和分光晶体实验对比的基础上,选择了最佳的测量条件。该法具有快速、准确,测量范围广,检测限低,价格便宜等优点。经过近百个各种类型标样或管理样品的分析对比表明,本法不仅适用于硅酸盐类岩石样品的分析,还适用于铁矿、铝土矿、碳酸盐类岩矿样品以及水泥、耐火材料等样品的分析。     

高压微波消解法测定醋酸纤维过滤器采集的微尘粒子中的砷镉钴铬铜铁锰镍铅钒锌

最新的流行病学研究表明,空气中较高浓度的悬浮细颗粒可能对人类的健康有不利的影响。根据该项研究显示,由于心脏病、慢性呼吸问题和肺功能指标恶化而导致死亡率的升高与细尘粒子有关。这些研究结果已经促使欧盟于1999年4月出台了限制空气中二氧化硫、二氧化氮、氧化氮、铅和颗粒物含量的法案(1999/30/EC),对各项指标包括对可吸入PM10颗粒的浓度提出了新的限制性指标。PM10颗粒是指可以通过预分级器分离采集的气体动力学直径小于10μm的细颗粒。目前研究的兴趣重点逐步偏向PM2.5这些更细微颗粒物,PM2.5这种颗粒物对健康有明显的不利影响。在欧盟指令2008/50/EC中,对PM10和PM2.5都提     

Isotopic systematics of He,Ar, S,Cu, Ni,Re, Os,Pb, U,Sm, Nd,Rb, Sr,Lu, and Hf in the rocks and ores of the Norilsk deposits

This paper reports the first results of a study of 11 isotope systems (³He/⁴He, ⁴⁰Ar/³⁶Ar, ³⁴S/³²S, ⁶⁵Cu/⁶³Cu, ⁶²Ni/⁶⁰Ni, ⁸⁷Sr/⁸⁶Sr, ¹⁴³Nd/¹⁴⁴Nd, ^206–208Pb/²⁰⁴Pb, Hf–Nd, U–Pb, and Re–Os) in the rocks and ores of the Cu–Ni–PGE deposits of the Norilsk ore district. Almost all the results were obtained at the Center of Isotopic Research of the Karpinskii All-Russia Research Institute of Geology. The use of a number of independent genetic isotopic signatures and comprehensive isotopic knowledge provided a methodic basis for the interpretation of approximately 5000 isotopic analyses of various elements. The presence of materials from two sources, crust and mantle, was detected in the composition of the rocks and ores. The contribution of the crustal source is especially significant in the paleofluids (gas–liquid microinclusions) of the ore-forming medium. Crustal solutions were probably a transport medium during ore formation. Air argon is dominant in the ores, which indicates a connection between the paleofluids and the atmosphere. This suggests intense groundwater circulation during the crystallization of ore minerals. The age of the rocks and ores of the Norilsk deposits was determined. The stage of orebody formation is restricted to a narrow age interval of 250 ± 10 Ma. An isotopic criterion was proposed for the ore-bearing potential of mafic intrusions in the Norilsk–Taimyr region. It includes several interrelated isotopic ratios of various elements: He, Ar, S, and others.     

Viscous, cohesive, non-Newtonian, depositing, radial slurry flow

Mining induced subsidence can significantly affect mining costs where major surface facilities and natural environment need to be protected. Overburden grout injection is a technology used to control coal mine subsidence by injecting the mine waste material extracted from the coal back into the inter-burden rock during longwall mining. The flowing slurry is here categorised as a nonlinear viscous cohesive (Bingham plastic) fluid. During longwall mining the grout slurry is pumped into the separated beds of the rock mass through a central vertical borehole, which is drilled deep into the inter-burden rock strata above the coal seam. However, a blockage can occur in the injection system when the slurry velocity falls below a certain critical threshold velocity, indicating a material phase change from cohesive-viscous to cohesive-frictional. In situ field injection tests through boreholes have been simulated at a smaller scale at the CSIRO laboratory in Brisbane by pumping the slurry through a radial disk (gap = 4 mm) from its centre. Laboratory experiments indicate a general, nonlinear, cohesive, viscous, frictional model for shear behaviour of the slurry, in which the material shear parameters are functions of the disk radial distance. Complete dimensional and dimensionless analytical solutions have been developed based on an approach related to Bingham–Herschel–Bulkley fluid mechanics. The derived formulae include relations for minimum pump pressure, local pressure and pressure gradient, wall shear stress, volume rate, velocity and velocity gradient. The theoretical results match the experimental measurements. The experiments covered slurries with maximum particle sizes of 0.5 to 2 mm with about 50% being larger than 100 µm. The viscosities at the various solids concentrations were measured with a standard torsion viscometer. This study differs from the previous research in several distinct aspects, namely, consideration of the variable shear parameters rather than fixed values, inclusion of total nonlinear behaviour, and implementation of a friction function to mimic behaviour of the deposited and consolidating stiff slurry, which can cause a significant pressure rise as a result of the increased shear resistance.     

硅酸盐中铁、锰、钛、钙、钾、磷、硅、铝、镁、钠、锶、铷、钡的X-射线荧光光谱定量测定

本文介绍样品经四硼酸锂熔融制成玻璃小饼。采用Lachance模式和理论a系数来校正元素间的效应,由3080E型X-射线荧光谱仪和DF-350B数据处理系统完成硅酸盐中十三个项目的测定。     

Bellechester,Minnesota, USA,lagoon collapses

Bellechester, Minnesota, is a small community of approximately 155 residents located on the county line between Goodhue and Wabasha counties in southeast Minnesota's karst region. Bellechester is served by a 21-year-old wastewater treatment facility (WWTF) consisting of three waste-stabilization ponds. On 28 April 1992 six sinkholes were discovered to have drained cell 2 of the WWTF resulting in the loss of approximately 8.7×10⁶ 1 of partially treated effluent and about 600 m³ of soil into previously undetected subsurface voids of unknown dimensions. In the week following the collapse, approximately 200 water wells located within a 5-km radius of the WWTF were sampled in an after-the-fact, emergency sampling program. Twelve samples with elevated fecal coliform levels, 18 samples with nitrate-nitrogen greater than the 10 mg/1 standard, and no samples with elevated chlorides were found. However, the elevated levels could not be unambiguously attributed to the WWTF collapse. This is the third WWTF to fail by sinkhole collapse in southeast Minnesota since 1974. All three collapsed lagoons have been located in similar geomorphic and stratigraphic settings. However, at least two lagoons have collapsed in the adjacent area in northeast Iowa, and these lagoons are located at different stratigraphic positions. Twenty-two WWTFs constructed in southeast Minnesota's karst region in the last 25 years have been identified as subject to potential sinkhole collapse. An unknown but significant number of manure storage lagoons, flood control structures, etc., have also been constructed in the karst region and are at risk. Public agencies are beginning to develop plans to deal with the risk associated with existing and future waste lagoons in this environment. The critical hydrogeologic parameters that can be used to prioritize the risk of collapse at existing facilities include: (1) the lithology of the first bedrock beneath each lagoon, (2) the thickness of surficial materials between the lagoon and the bedrock surface, (3) the presence and construction of liners (seepage rate), and (4) the proximity to existing sinkholes.     

Mercury,arsenic, antimony,and selenium contents of sediment from the Kuskokwim River,Bethel, Alaska,USA

The Kuskokwim River at Bethel, Alaska, drains a major mercury-antimony metallogenic province in its upper reaches and tributaries. Bethel (population 4000) is situated on the Kuskokwim floodplain and also draws its water supply from wells located in river-deposited sediment. A boring through overbank and floodplain sediment has provided material to establish a baseline datum for sediment-hosted heavy metals. Mercury (total), arsenic, antimony, and selenium contents were determined; aluminum was also determined and used as normalizing factor. The contents of the heavy metals were relatively constant with depth and do not reflect any potential enrichment from upstream contaminant sources.     

滇东南花岗岩与锡、银、铜、铅、锌多金属矿床的成因关系

滇东南锡、银、铅、锌多金属矿床主要分布在个旧、白牛厂、都龙3个矿区,而滇东南较大的3个花岗岩体又分别出露在3个矿区或附近.花岗岩体均形成于燕山晚期,岩石化学、矿物成分相似,富含锡、银、铅、锌、钨、铜等成矿元素.矿床主金属元素组合与岩体之间的距离由远而近出现由锡、钨、(铍、铌、钽)→锡、钨、(铁)、铜、铟→锡、铅、锌、银、铟、(锑)有规律的变化.花岗岩浆是成矿物质来源和成矿热源.岩浆侵入初期使上覆地层隆起产生背斜(凹陷部位成向斜);同时使地层产生一系列裂隙、压性断层或层间断裂;岩浆侵入晚期,这些断层再次活动,表现为张性,岩浆产生的含矿热液沿由其活动所造成的断裂迁移、充填、交代、沉淀而形成矿床.     

岩石密度和超高压岩石折返速率

在常温常压条件下对中国大陆科学钻CCSD主孔100-3000米岩心样品进行了密度测量,建立了密度连续剖面,并界定了不同超高压岩石的密度值。通过对比高温高压物性实验资料,岩石密度随着退变程度增强而降低,榴辉岩密度变化序列为3.52g/cm3→3.49g/cm3→3.07g/cm3→2.93g/cm3。超高压长英质岩石密度变化序列为3.00g/cm→2.80g/cm3→2.65g/cm3。上述实验资料是讨论不同折返阶段岩石所受浮力的基础,为研究折返速率大小提供了基本参数。本文通过折返板块运动平衡时,上浮力与粘滞力平衡这一关系式,定量研究了大陆俯冲板块的折返速率,认为密度差产生上浮力从而引起折返,温度对板块折返速率的影响最为显著;密度差大小、折返角度、折返板块大小对折返速率也有直接的影响。定量模拟分析表明,在温度高于850℃时,板块的折返速率可以超过100mm/a;当温度降至700℃时,折返速率则低于1.5mm/a。作者认为在折返早期,温度较高,板块快速折返至60-70km榴辉岩相深度;随着传导散热,温度降低,板块以较慢的速率折返至中下地壳。折返速率的估算表明,浮力是板块折返第一阶段(从>100km深部折返至<40km的中下地壳)的主要驱动力。