Inverse method applied to a sand wedge: Estimation of friction parameters and uncertainty analysis

We examine the fundamental mechanism of frontal accretion in a sand wedge from the occurrence of a forward thrust ramp evolving into a fault-bend fold to the jump of deformation to a new frontal ramp ahead. We use inverse problem theory to extract quantitative information on friction parameters from the systematic comparison of experimental observations and theoretical predictions. The observables are locations, dips and lifetime of thrust ramps, hinge and associated compression. The experimental values (observed data) are cast into statistical models describing the error bars. The theory of limit analysis provides calculated data, requiring five parameters : material density, friction coefficient of the décollement plane, friction coefficient of the bulk material, and the variation of friction with slip on the ramp as well as the distance for this variation. The misfit between observed data and calculated data is determined for all physically admissible values of the parameters. Values yielding a small misfit are interpreted as highly probable. The mean misfit per observable is within their error bars and therefore application of the theory reproduces the observables. Bulk and décollement friction coefficient values with high probability are compared to independent measurements. The inversion also reveals systematic discrepancies: the frictional weakening on the ramps is overestimated, while the force is underestimated, the calculated thrust sheet is longer than observed and the calculated jump to a second ramp occurs earlier than observed. These conclusions allow us to identify necessary improvements for the experimental set-up and of the theoretical assumptions.     

Back-arc basin assemblages in Kohistan,Northern Pakistan

Abstract

The east central part of the Kohistan magmatic arc is made up principally of the Jaglot Group. From bottom to top it consists of I) paragneisses and schists intercalated with amphibolites and calc-silicates (Gilgit Formation), II) Gashu-Confluence Volcanics (GCV) and III) the Thelichi Formation comprising a volcanic base (Majne volcanics) and turbidites, marble, volcanoclastic sediments and lava flows. Metamorphic grade varies up to the sillimanite zone. The GCV are correlated with the Chalt volcanics and the Thelichi Formation with the Yasin Group. Other lithologies include the Chilas Complex, the Kohistan Batholith and part of the Kamila Amphibolite. Metavolcanics show a broad range in chemical composition. Geochemical parameters used to specify the tecto-nomagmatic regime suggest affinities of both island arc and MORB-like back-arc basin basalts. Kohistan can be divided into three tectonic zones, I) the southern (Kamila) zone comprises amphibolitized basalts, and mafic and ultramafic rocks, II) the central Chilas Complex, and III) the northern (Gilgit) zone i.e., the Jaglot Group. Previous tectonic models considered the southern two zones as the crust of a Cretaceous island arc. This investigation concludes that only the southern zone represents a true island arc. The Jaglot Group derives from back-arc basin assemblages and the Chilas Complex is a magmatic diapir emplaced in the back-arc basin.     

Petrogenesis of the Langdu High–K Calc–Alkaline Intrusions in Yunnan Province: Constraints from Geochemistry and Sr–Nd Isotopes

The Langdu high-K calc-alkaline intrusions are located in the Zhongdian area, which is the southern part of the Yidun island arc. These intrusive rocks consist mainly of monzonite porphyry, granodiorite, and diorite porphyry. The K2O content of majority of these rocks is greater than 3%, and, in the K2O-SiO2 diagram, all the samples fall into the high-K calc-alkaline to shoshonitic fields. They are enriched in light rare earth elements (LREEs) and depleted in heavy rare earth elements (HREEs; LaN/YbN = 14.3-21.2), and show slightly negative Eu anomalies (δEu = 0.77-1.00). These rocks have high K, Rb, Sr, and Ba contents; moderate to high enrichment of compatible elements (Cr = 36.7-79.9 ppm, Co = 9.6-16.4 ppm, and MgO = 2.2%-3.4%); low Nb, Ta, and Ti contents, and characteristic of low high field strength elements(HFSEs) versus incompatible elements ratios (Nb/Th = 0.75, Nb/La = 0.34) and incompatible elements ratios (Nb/U = 3.0 and Ce/Pb = 5.1, Ba/Rb = 12.0). These rocks exhibit restricted Sr and Nd isotopic compositions, with (87Sr/86Sr) i values ranging from 0.7044 to 0.7069 and εNd(t) values from -2.8 to -2.2. The Sr-Nd isotope systematic and specific trace element ratios suggest that Langdu high-K calc-alkaline intrusive rocks derived from a metasomatized mantle source. The unique geochemical feature of intrusive rocks can be modeled successfully using different members of a slightly enriched mantle, a slab-derived fluid, and terrigenous sediments. It can be inferred that the degree of partial melting and the presence of specific components are temporally related to the tectonic evolution of the Zhongdian island arc. Formation of these rocks can be explained by the various degrees of melting within an ascending region of the slightly enriched mantle, triggered by the subduction of the Garzê-Litang ocean, and an interaction between the slab-derived fluid and the terrigenous sediments.     

俯冲洋壳的折返及其相关问题讨论

大洋俯冲带中高压(HP)和超高压(UHP)岩石的折返机制一直以来都是俯冲工厂中最不为人知的问题之一.本文根据搜集全球折返到地表的洋壳榴辉岩基础数据(包括岩石学特征、峰期温压条件和折返P-T轨迹),初步探讨了洋壳榴辉岩的折返机制.根据峰期矿物组合、温压条件和对应的地温梯度,典型大洋俯冲带中的榴辉岩可以分为三类:含柯石英的UHP硬柱石榴辉岩(2.7～ 3.2GPa,470 ～ 610℃,5～7℃/km)、HP硬柱石榴辉岩(1.7～2.6GPa,360～ 620℃,5～8℃/km)和HP绿帘石榴辉岩(1.5 ～2.3 GPa,540 ～ 630℃,7～12℃/km).与大陆俯冲碰撞造山带中的HP-UHP榴辉岩相比,洋壳榴辉岩具有较低的峰期温压条件和较高的低密度含水矿物的含量,但是普遍缺失高密度的蓝晶石.已有的俯冲洋壳的折返模式都基于一个假设:洋壳榴辉岩密度比周围地幔大.因此,洋壳榴辉岩的折返必须借助于低密度的蛇纹岩或者变沉积岩.MORB体系的热力学模拟研究表明,俯冲洋壳的矿物组合、矿物含量和密度主要受低密度含水矿物(如硬柱石、绿泥石、蓝闪石和滑石等)的稳定性控制,并且在同等深度条件下,冷俯冲洋壳的密度低于热俯冲洋壳的密度.经历冷俯冲(～6℃/km)洋壳的密度在＜ 110～ 120km(P ＜3.3 ～ 3.6GPa)的深度仍小于周围地幔,但是经历热俯冲(～ 1O℃/km)洋壳的密度在＞60km(P＞1.8GPa)的深度就已经超过周围地幔.结合高温高压实验资料和地球物理观察数据,我们认为在＞120km的深度,俯冲基性洋壳本身密度大于周围地幔,不存在低密度的地幔楔蛇纹岩(蛇纹石已发生分解),并且大洋板块的俯冲角度突然增大可能阻碍了更深部的低密度变沉积岩的折返.以上这三个方面的原因可能导致现今折返到地表的洋壳榴辉岩和变沉积岩的形成深度普遍小于120km.折返过程中硬柱石脱水分解会导致洋壳密度增大,退变形成的蓝晶石榴辉岩的密度大于周围地幔,无法折返,这可能是全球洋壳榴辉岩中普遍缺失蓝晶石的主要原因.     

滇西云县-景谷火山弧带官房铜矿床成因:流体包裹体及年代学证据

官房铜矿位于云县-景谷火山弧带北段,矿体主要呈浸染状、网脉状赋存于小定西组杏仁状玄武岩、玄武质角砾岩及其断裂破碎带中.本文采用LA-ICP-MS方法,首次获得小定西组玄武岩锆石U-Pb年龄为234.3±0.8Ma,表明赋矿地层小定西组形成于中三叠世,而不是前人一直认为的晚三叠世.通过矿石中石英、方解石的流体包裹体形貌特征、均一温度和成分的研究,并结合矿区矿石矿物特征,认为官房铜矿至少存在两期不同的成矿作用,即中三叠世火山-次火山热液成矿和后期(可能为新生代)地下水热液叠加改造.结合云县-景谷火山弧的形成演化过程,认为区域中三叠统小定西组玄武岩和芒怀组流纹岩构成了“双峰”式火山岩组合,官房铜矿产于中三叠世裂谷盆地的基性火山岩中,受海陆交互相的古地理环境制约,早期成矿具有VHMS型成矿特征,由于缺乏火山热液成矿流体聚集的“卤水池”,仅发育典型VHMS矿床下部火山通道相中的脉状-网脉状-角砾状矿体,缺少上部厚大的层状矿体,并经历了后期地下水热液的叠加改造.     

Cambrian volcanism in the Lhasa terrane,southern Tibet: Record of an early Paleozoic Andean-type magmatic arc along the Gondwana proto-Tethyan margin

The present study reports new zircon LA–ICP–MS U–Pb ages, trace element and Hf isotope data, and whole-rock major and trace element data from Cambrian metarhyolites from Zhaqian and Zhakang in the central Lhasa subterrane of southern Tibet. One sample from Zhakang provides a weighted mean ²⁰⁶Pb/²³⁸U age of 510.4 ± 4.0 Ma and two samples from Zhaqian yield weighted mean ²⁰⁶Pb/²³⁸U ages of 510.6 ± 2.6 Ma and 524.8 ± 2.9 Ma, indicating that the Zhaqian and Zhakang metarhyolites were contemporaneous. Both are characterized by high SiO₂ and K₂O and low Na₂O. They are also primarily high-K calc-alkaline, are enriched in Th, U, and light rare earth elements (LREEs), and are depleted in Nb, Ta, Ti, and P. Thus, they are geochemically similar to typical arc volcanic rocks. Moreover, the Zhaqian metarhyolites exhibit varying zircon ε_Hf(t) values (−3.8 to +0.3) that are comparable to those of the Zhakang metarhyolites (−4.9 to −1.0). Both metarhyolites are interpreted as resulting from partial melting of Proterozoic metasedimentary rocks with mantle-derived magma contributions. Contemporaneous magmatism in the early Paleozoic has also been recognized in other microcontinents along the Gondwana proto-Tethyan margin. The emplacement of these magmatic rocks and the development of a Cambro–Ordovician angular unconformity in the central Lhasa subterrane can be attributed to subduction of proto-Tethys Ocean lithosphere in a Andean-type magmatic arc setting following the assembly of various continental components within the Gondwana supercontinent.     

利用不规则网格地震层析成像研究2008年日本岩手地震及岛弧火山活动(英文)

为了深入了解日本东北俯冲带的地震构造及火山活动,利用布设在日本列岛上密集地震台网所记录到的高质量浅震及深震到时数据,反演求得了该区域地壳及上地幔的三维P波和S波速度结构。为了最大程度地利用地震数据提取模型空间中更为精细的速度结构信息,采用不规则网格模型采进行地震层析成像反演。所得的高分辨率成像结果清晰地显示,2008年岩手地震(M 7.2)位于高低速异常的转换区,而且震源区的地壳介质非均匀性极强。在震源区的下地壳及上地幔顶部存在着明显的低速异常,可能代表了岛弧岩浆和流体在该深度处的储集。研究结果表明,2008年岩手地震的产生受到了来自上地幔楔的岩浆和流体的影响,且这些岩浆和流体与俯冲太平洋板块的脱水作用有着密切的联系。     

Identification and evolution of tectonic units in the Philippine Sea Plate

The Philippine Sea Plate is located at the convergence zone of the Eurasian Plate,the Pacific Plate,and the Indo-Australian Plate.This paper divides the Philippine Sea Plate into two second-order tectonic units and eight third-order tectonic units by summarizing the marine geological,geophysical,and submarine geomorphological data of the Philippine Sea Plate collected for years and referring to the seafloor spreading theory and the trench-arc-basin system.The two second-order tectonic units are the West Philippine Sea block and the Izu-Bonin-Mariana arc-basin system.The former includes the West Philippine Basin,the Huatung Basin,the Daito Basin,and the Palau Basin,while the latter consists of the Kyushu-Palau Ridge,the Shikoku-Parece Vela Basin,the Izu-Bonin Arc,and the Mariana Arc.Furthermore,this study concludes that the Philippine Sea Plate has undergone three stages of tectonic evolution,namely the early stage of the evolution of marginal basins with Cretaceous basement(Early Cretaceous),the middle stage of the spreading of the West Philippine Basin(Eocene),and the late stage of the subduction of the Izu-Bonin-Mariana arc-basin system(Oligocene-present).The Kyushu-Palau Ridge is a window to discover the tectonic evolution of the Philippine Sea Plate due to its unique geographical location.     

圆弧形沉积谷地对平面P波的三维散射解析解

采用大圆弧面来模拟半空间表面,利用波函数展开法在频域内给出了圆弧形沉积谷地形对平面P波三维散射的一个解析解,并以此解答为基础,进一步分析了入射波频率和入射角度对圆弧形沉积谷地场地反应的影响。数值结果表明,入射波的频率和入射角度对圆弧形沉积谷地场地反应有重要影响。