扬子北缘晚古元古代A型花岗质岩:Columbia超大陆裂解的证据

为约束扬子陆块晚古元古代构造演化历史,以华山观岩体的钾长花岗岩和二长花岗岩为研究对象,开展地球化学、年代学、全岩Nd同位素及锆石Hf同位素分析。锆石U-Pb定年结果显示钾长花岗岩和二长花岗岩的结晶年龄分别为1860±12 Ma(MSWD=0.69)和1832±14 Ma(MSWD=0.48)。两类岩石都显示铝质A型花岗岩的地球化学特征,一致的ε_(Hf)(t)值(-10.9～-13.8)及其二阶段模式年龄(2962～3183 Ma),揭示其由同一套太古宙的地壳部分熔融形成。综合已有ε_(Hf)(t)值资料,表明扬子陆块广泛存在两套太古宙长英质地壳(3.0～3.5 Ga; 3.5～3.9 Ga),为华山观两类花岗岩的岩浆形成提供了物源。华山观岩体两类花岗岩的锆石饱和温度揭示源岩位于较深的地壳,且二长花岗岩的形成有更多热源的参与。结合扬子陆块同期(～1.85Ga)A型花岗岩的地球化学数据,认为华山观钾长花岗岩具有后碰撞A_2型花岗岩的特征,形成于后碰撞伸展环境,而华山观二长花岗岩具有A_1型花岗岩的地球化学特征,暗示造山后伸展到陆内裂谷过渡的构造背景,可能与Columbia超大陆裂解有关。     

华北陆块北缘崇礼-赤城地区晚古生代花岗岩类的锆石年龄和Sr-Nd-Hf同位素组成

本文报道冀北崇礼-赤城地区晚古生代花岗岩类岩石的锆石U-Pb年龄和Sr-Nd-Hf同位素组成特征.它们出露在华北陆块北缘的构造单元内,侵位于中高级变质基底岩石红旗营子群中.锆石LA-ICP-MS定年结果表明,海流图花岗岩岩体记录了两期岩浆作用,即299±3Ma和254±11Ma;镇宁堡片麻状二长花岗岩和白花沟片麻状黑云母石英二长闪长岩分别形成于287±1Ma和252±3Ma.这些晚古生代花岗岩类岩石具有较低的初始~(87)Sr/~(86)Sr值(0.7062～0.7076)、低的ε_(Nd)(t)值(-18.1至-9.6)和古老的Nd亏损地幔模式年龄(2.49～1.87Ga).其锆石的ε~(Hf)(t)值变化在-13.2至-7.4之间,Hf平均地壳模式年龄值(T_(DM)~C)在2.15Ga至1.79Ga之间.锆石Hf同位素特征与全岩Nd同位素特征指示古老的华北陆块地壳物质是花岗岩浆的主要物源.在形成时代和地球化学特征上,崇礼-赤城地区晚古生代花岗岩与出露在东部丰宁-承德地区的花岗岩类岩石既有相似性,又有不同之处,可能代表华北陆块北缘不同构造背景下岩浆作用的产物.     

华北地台南缘张士英岩体的锆石SHRIMP U-Pb测年、Hf同位素组成及其地质意义

张士英岩体位于华北地台南缘,岩石类型包括钾长花岗岩、似斑状花岗岩和石英斑岩脉,其中只在钾长花岗岩中发育有暗色岩石包体,在包体和寄主岩中发育反映岩浆混合作用的岩石结构。钾长花岗岩、似斑状花岗岩和石英斑岩脉的SHRIMP锆石U-Pb年龄分别为107.3±2.4Ma、106.7±2.5Ma和101±3Ma。锆石Hf同位素分析结果显示,钾长花岗岩的锆石εHf(t)为-15.96～-20.80,单阶段模式年龄(tDM1)为1396～1643Ma,两阶段模式年龄(tDM2)为1880～2018Ma;似斑状花岗岩的锆石εHf(t)为-18.97～-22.18,tDM1为1512～1640Ma,tDM2为1925～2080Ma;除了一粒年龄为2.6Ga的锆石具有εHf(t)为-0.71、tDM1为2943Ma和tDM2为3036Ma的组成,石英斑岩的锆石εHf(t)为-23.41～-27.95,tDM1为1678～1896Ma,tDM2为2144～2330Ma。这些数据暗示,除了存在少量太古宙地壳物质的贡献外,张士英岩体的物质来源可能主要为1.9～2.3Ga期间形成的新生地壳,但也不排除古老地壳与富集地幔源混合的可能。综合分析前人研究成果表明,在太平洋板块俯冲方向发生转变的过程中,先存断裂带发生拉张。张士英岩体与中国东部同期岩浆活动一起可能形成于这种受断裂带控制的伸展环境。     

青海祁漫塔格玛兴大坂晚三叠世花岗岩年代学、地球化学及Nd-Hf同位素组成

青海东昆仑祁漫塔格玛兴大坂岩体岩石类型为二长花岗岩,主要矿物组合为斜长石(30％～35％)+钾长石(25％～33％)+石英(23％～25％)+黑云母(3％～5％),全岩地球化学总体显示SiO2为68.61％～69.37％,K2O为3.95％～4.08％,P2O5为0.11％～0.12％,FeOT/MgO为4.02～4.21,A/CNK(0.96～0.99)＜1,为高钾钙碱性系列准铝质花岗岩,具有Ⅰ型花岗岩的特征.其稀土元素配分图和蛛网图显示具有大陆弧花岗岩特点,富集Rb、Th等大离子亲石元素,而相对亏损Sr、P、Ti、Nb和Ta等元素;玛兴大坂二长花岗岩的143Nd/144 Nd比值为0.512326～0.512340、εNd(t)=-2.5～-3.2,指示该花岗岩具有壳幔混合Ⅰ型花岗岩的特征;锆石LA-MC-ICP-MS U-Pb年龄数据显示玛兴大坂二长花岗岩体的侵位时代为218±2Ma;锆石176Hf/177 Hf比值较低(0.28251～0.282623),εHf(t)值为-4.43～-0.62,可能为幔源物质(大的正εHf(t)值)与古老地壳物质(大的负εHf(t)值)混合后的结果.Nd同住素tDM2(1.20～1.25Ga)与Hf同位素tDM2(1.08～1.28Ga)基本一致,推测中元古代末期祁漫塔格地区存在壳幔分异作用,而玛兴大坂二长花岗岩的部分源岩为中元古代以前的物质.认为玛兴大坂二长花岗岩与祁漫塔格晚三叠世火山岩形成时代相近,响应于三叠纪末古特提斯洋的关闭.     

西大别~2.0 Ga变质花岗岩的发现及其Hf同位素特征

扬子陆块广泛存在2.10～1.90 Ga构造热事件的年代学信息,然而在大别地区该时期的岩浆岩体尚未报道,本文在野外地质调查的基础上,对西大别金盘岩体的变质花岗岩开展了锆石年代学和Hf同位素分析。锆石U-Pb测年结果显示变质花岗岩的结晶年龄为(2022±17)Ma(MSWD=2.3),代表了大别造山带古元古代的岩浆活动记录。锆石的εHf(t)值(-10.6～-7.6)及其二阶模式年龄(2.96～3.12 Ga)表明该岩体来源于古老陆壳的再造。综合已有Hf同位素资料,扬子陆块北缘广泛发育2.95～3.18 Ga太古宙地壳,为该类花岗岩的岩浆形成提供了物源。金盘岩体形成于古元古代碰撞造山作用时期(2.03～1.93 Ga),可能指示了Columbia超大陆聚合在大别地区的响应。该～2.0 Ga花岗岩体的识别,为研究大别造山带早前寒武纪构造岩浆事件的演化序列提供了新的资料。     

2.3 Ga Magmatism and 1.94 Ga Metamorphism in the Xiatang Area,Southern Margin of the North China Craton——Evidence from Whole-rock Geochemistry and Zircon Geochronology and Hf Isotope

本文报道了华北克拉通南缘豫西鲁山下汤地区古元古代片麻状花岗岩和黑云角闪斜长片麻岩的全岩地球化学和锆石SHRIMP U-Pb年龄和Hf同位素组成.岩石呈包体形式存在于中元古代花岗岩中.片麻状花岗岩具深熔特征,岩浆锆石年龄为2.30 Ga;岩石高SiO2和K2O,低∑FeO、MgO和CaO,具稀土总量较高(∑REE=165.8×10-6)、轻重稀土分离较强[(La/Yb)n=37.8]及弱负铕异常(Eu/Eu(*)=0.76)的稀土模式;εNd(t)(t=2.30 Ga)=-0.75; tDM(Nd) =2.66 Ga.黑云角闪斜长片麻岩变质原岩为辉长闪长岩,捕获锆石年龄为2.25 Ga;岩石低SiO2 和MgO,高Al2O3和P2O5,具稀土总量高(∑REE=373.4×10-6)、轻重稀土分离不强[ (La/Yb)n=9.4]及较强负铕异常( Eu/Eu*=0.44)的稀土模式;εNd(t)(t=2.25 Ga)=-1.21;tDM(Nd) =2.75 Ga.片麻状花岗岩和黑云角闪斜长片麻岩都记录了1.94 Ga变质锆石年龄.片麻状花岗岩的岩浆锆石组成域的εHf(t)(t=2.30 Ga)=-6.71～0.38,tDMI(Hf) =2627 ～2910 Ma,tDM2(CC)(Hf)=2823 ～ 3255 Ma.黑云角闪斜长片麻岩的捕获锆石组成域的εHf(t)(t=2.25 Ga)=-19.58～ -1.73,tDM1 (Hf) =2664～3360 Ma,tDM2(CC)(Hf)=2968 ～4011 Ma.结合前人资料,得出如下结论:华北克拉通南缘豫陕晋结合部地区存在—规模较大的约2.3 Ga地质体分布区;华北克拉通南缘很可能存在规模巨大的＞2.7 Ga基底;中部造山带与孔兹岩带具有类似的古元古代晚期构造热事件演化历史.     

华北克拉通南缘豫西下汤地区2.3 Ga岩浆作用和1.94 Ga变质作用

本文报道了华北克拉通南缘豫西鲁山下汤地区古元古代片麻状花岗岩和黑云角闪斜长片麻岩的全岩地球化学和锆石SHRIMP U-Pb年龄和Hf同位素组成。岩石呈包体形式存在于中元古代花岗岩中。片麻状花岗岩具深熔特征,岩浆锆石年龄为2.30Ga;岩石高SiO2和K2O,低ΣFeO、MgO和CaO,具稀土总量较高(ΣREE=165.8×10-6)、轻重稀土分离较强[(La/Yb)n=37.8]及弱负铕异常(Eu/Eu*=0.76)的稀土模式;εNd(t)(t=2.30Ga)=-0.75;tDM(Nd)=2.66Ga。黑云角闪斜长片麻岩变质原岩为辉长闪长岩,捕获锆石年龄为2.25Ga;岩石低SiO2和MgO,高Al2O3和P2O5,具稀土总量高(ΣREE=373.4×10-6)、轻重稀土分离不强[(La/Yb)n=9.4]及较强负铕异常(Eu/Eu*=0.44)的稀土模式;εNd(t)(t=2.25Ga)=-1.21;tDM(Nd)=2.75Ga。片麻状花岗岩和黑云角闪斜长片麻岩都记录了1.94Ga变质锆石年龄。片麻状花岗岩的岩浆锆石组成域的εHf(t)(t=2.30Ga)=-6.71～0.38,tDM1(Hf)=2627～2910Ma,tDM2(CC)(Hf)=2823～3255Ma。黑云角闪斜长片麻岩的捕获锆石组成域的εHf(t)(t=2.25Ga)=-19.58～-1.73,tDM1(Hf)=2664～3360Ma,tDM2(CC)(Hf)=2968～4011Ma。结合前人资料,得出如下结论:华北克拉通南缘豫陕晋结合部地区存在一规模较大的约2.3Ga地质体分布区;华北克拉通南缘很可能存在规模巨大的>2.7Ga基底;中部造山带与孔兹岩带具有类似的古元古代晚期构造热事件演化历史。     

桂东南大容山-十万大山S型花岗岩带的成因：地球化学及Sr-Nd-Hf同位素制约

本文报道桂东南大容山-十万大山花岗岩带浦北岩体(东北带)、旧州岩体(中部带)和台马岩体(西南带)全岩的主、微量元素、Sr-Nd同位素和锆石的LAM-MC-ICPMS原位Hf同位素分析结果。岩石学及元素地球化学结果显示:上述三个岩体为典型S型花岗岩;高I_(Sr)(>0.721)和低ε_(Nd)(t)(-13.0～-9.9)意味着它们可能来自古老地壳的重熔。岩浆结晶(～230Ma)锆石的ε_(Hf)(t)值主要集中在-11～-9,相应的T_(DM2)模式年龄为1.9～1.8Ga;少数结晶锆石的ε_(Hf)(t)值逐渐升高到-4.5,T_(DM2)降低为～1.5Ga。捕获锆石(1681～384Ma)的的ε_(Hf)(t)值分布在-17.1～ 3.4,T_(DM2)主要集中在2.4Ga、1.9Ga和1.5Ga。大部分岩浆结晶锆石ε_(Hf)(t)值与根据"全岩ε_(Nd)(t)值和‘地壳Hf-Nd相关’预测值"基本一致,表明平均地壳存留年龄为1.9Ga的地壳是最重要的物源区。部分岩浆锆石与捕获锆石具有相同的T_(DM2)～1.5Ga,表明平均地壳存留年龄为1.5Ga的物源区参与了该花岗岩带的形成;由于缺少T_(DM2)>2.0Ga的岩浆锆石,少量平均地壳存留年龄为2.4Ga的再循环地壳物质参与了该花岗岩带的形成。因为缺少显著幔源特征的高ε_(Hf)(t)值锆石,本文认为地幔物质基本没有参与该S型花岗岩带的形成。     

北大别早白垩纪花岗岩类的Sm-Nd和锆石Hf同位素及其构造意义

大别造山带产出两期早白垩纪造山后花岗岩类:早期(≈132Ma)变形的角闪石英二长岩和斑状二长花岗岩具高钾的类埃达克岩的地球化学特征,形成于增厚地壳(>50km)的下地壳部分熔融;晚期(≈128Ma)未变形的花岗岩包括细粒二长花岗岩和钾长花岗(斑)岩,属于正常安山岩-英安岩-流纹岩系列岩石,它们形成于相对薄的地壳(<35km)的下地壳部分熔融。早期变形的花岗岩类中,角闪石英二长岩的(~(87)Sr/~(86)Sr)_i=0.7066～0.7076,ε_(Nd)(t)=-20.3～-27.8,类似于扬子下地壳基性麻粒岩的Sr-Nd同位素特征,其中白垩纪岩浆锆石(≈132Ma)Hf同位素初始比值(ε_(Hf)(t))和两阶段Hf模式年龄(t_(DM2))分别为-29.30.5和303065Ma;我们认为角闪石英二长岩源于锆石Hf模式年龄约3.0Ga的基性下地壳部分熔融。早期斑状二长花岗岩的(~(87)Sr/~(86)Sr)_i=0.7078～0.7083,ε_(Nd)(t)=-15.8～-20.0,类似于北大别英云闪长质-花岗质片麻岩的Sr-Nd同位素特征,其白垩纪岩浆锆石(≈132Ma)的ε_(Hf)(t)和t_(DM2)分别为-24.80.5和274434Ma。我们认为宽状二长花岗岩源于约2.7Ga的中酸性下地壳部分熔融。晚期未变形的花岗岩的(~(87)Sr/~(86)Sr)_i=0.7069～0.7105,ε_(Nd)(t)=-16.4～-22.1,类似于北大别英云闪长质-花岗质片麻岩的Sr-Nd同位素特征;其白垩纪岩浆锆石(≈128Ma)的ε_(Hf)(t)具有较大的变化范围(-25.2～7.4),主要峰值为-22.5±0.5,次要峰值为-16.3±0.7,并有少量正的ε_(Hf)(t)值5.8～7.4,与ε_(Hf)(t)值对应的t_(DM2)分别为2600±40Ma、2211±68Ma和743±130Ma。我们认为晚期未变形的花岗岩源于锆石Hf模式年龄约2.6～2.2Ga的中酸性下地壳部分熔融,源区夹杂新元古代新生的陆壳。在大别造山带垮塌之前(>132Ma),增厚地壳(>50km)的下地壳存在双层结构:锆石Hf模式年龄约为3.0Ga的基性下地壳基底和约2.7Ga的中酸性(英云闪长质-花岗质)上部下地壳.在大别造山带伸展垮塌的晚期阶段(≈128Ma),减薄的下地壳(<35km)主要为锆石Hf模式年龄约2.6～2.2Ga的中酸性(英云闪长质-花岗质)岩石,并夹杂少量新元古代Rodinia超大陆裂解时形成的新生陆壳。     

贺兰山古元古代花岗岩年代学及地球化学特征:对华北克拉通西部孔兹岩带形成和演化的制约

华北克拉通西部贺兰山地区基底岩石以古元古代孔兹岩系和S型花岗岩为主,该区的S型花岗岩是探索华北克拉通西部陆块孔兹岩带地质演化的关键研究对象之一。本文主要以贺兰山北部的片麻状含石榴黑云母花岗岩和似斑状石榴黑云母花岗岩为研究对象,通过详细的岩石学、锆石U-Pb年代学、Hf同位素以及全岩地球化学等方法来讨论其岩石成因和地质意义。结果表明,片麻状含石榴黑云母花岗岩和似斑状石榴黑云母花岗岩侵位年龄分别为～2. 0Ga和～1. 97Ga,属于古元古代时期不同阶段岩浆作用的产物。片麻状含石榴黑云母花岗岩具有较低SiO_2(60. 88%～65. 42%),高Al_2O_3(16. 84%～19. 35%)、Fe_2O_3~T(5. 94%～6. 14%)、K_2O (3. 25%～5. 10%)、A/CNK (1. 75～2. 34)和Mg#(47～51),低Na_2O (1. 14%～2. 45%),以及较高的稀土元素含量(∑REE=262×10-6～290×10-6)和明显的Eu负异常(δEu=0. 30～0. 55)。似斑状石榴黑云母花岗岩具有高SiO_2(71. 93%～74. 98%)、K_2O (4. 58%～6. 98%)、Al_2O_3(13. 25%～14. 79%)和Na_2O (3. 13%～3. 94%),低Fe2OT3(0. 69%～1. 39%),A/CNK值为1. 08～1. 14,且具有相对较低的Mg#值(17～43)和稀土元素总量(∑REE=35. 3×10-6～127×10-6),Eu负异常和正异常(δEu=0. 07～3. 58),二者均属于过铝质S型花岗岩。贺兰山两期花岗岩明显富集大离子亲石元素(如Rb、U等),亏损高场强元素(如Nb、Ta等)。早期片麻状含榴黑云母花岗岩和晚期似斑状石榴黑云母花岗岩的εHf(t)值分别为-1. 1～+2. 6和-2. 1～+3. 8,对应的两阶段Hf同位素模式年龄(tDM2)分别为2. 45～2. 68Ga和2. 36～2. 73Ga,远大于其锆石的结晶年龄。此外,贺兰山花岗岩具有相对高的Al_2O_3/TiO_2和低的CaO/Na_2O、Rb/Sr、Rb/Ba比值,表明其原岩可能主要以变沉积岩为主。上述结果表明贺兰山地区古元古代S型花岗岩的岩浆起源于古老地壳变沉积岩物质,可能有少量新生地壳物质的加入。综合区域地质资料,本文研究认为贺兰山地区在古元古代晚期为活动大陆边缘的构造环境,片麻状含石榴黑云母花岗岩和似斑状石榴黑云母花岗岩分别形成于阴山地块和鄂尔多斯地块碰撞前和同碰撞的构造背景,表明这两个微陆块的碰撞时间可能要稍早于1. 95 Ga。     

东濮凹陷北部沙河街组三段中亚段沉积环境分析

东濮凹陷北部沙三中亚段广泛发育盐岩和烃源岩,这两个看似不能共存的物质却在这里互层共生。该时期研究区沉积特征为多盐韵律与多层烃源岩互层共生、连续沉积,单个盐韵律厚度从几米到十几米,烃源岩有机质丰度高、类型好。平面上,两者在湖盆沉积沉降中心共生;垂向上,高有机质丰度、好干酪根类型与高盐度地层具有较好的对应关系。因而成为恢复古气候和古环境的重要研究对象。通过岩石学、古生物学以及Sr/Ba、B/Ga、(V+Ni+Mn)、Fe/Mn、Sr/Cu、Mg/Ca、V/(V+Ni)、稀土元素含量和氯同位素等方法对凹陷北部沙三中亚段的沉积环境进行研究。结果表明,凹陷北部沙三中亚段为深水沉积的还原环境,古盐度较高,达到半咸水-咸水沉积;微量元素和孢粉化石特征表明研究区沙三中亚段为温暖潮湿的环境。     

The Importance of the Precipitation and the Susceptibility of the Slopes for the Triggering of Landslides Along the Roads

In order to characterise the influence of the heavyrains on the observed landslides during the 1996–1997hydrological cycle, rainfall records for the last 100years are analysed from 104 stations in easternAndalusia. Regarding the amounts of rain recordedbetween October 1996 and March 1997 in the 104stations studied, 31 presented new all-time records;15 presented values that were 80–100% of thepre-1995 record; 49 stations, 80–50%; and 9stations, < 50%. A map has been devised of thesusceptibility of the materials through which thesouth-eastern Andalusian road network crosses,together with an inventory of the damage caused byinstability phenomena on banks and cuttings of theroad network during the winter of 1996–1997. Therelationships between the rainfall during the studyperiod, the damage caused to the road network and thesusceptibility of the materials affected are analysed.The results indicate that there is a clearcorrespondence between the rainfall recorded and thesusceptibility of the materials with the inventorieddamage. It is concluded that the widespread seriousdamage caused in early 1997 to the roads andsurrounding areas in the Alpujarra region and thecoast of the Province of Granada was mainly caused bythe extraordinarily heavy rains. However, considerablyless damage was observed where the susceptibility ofthe terrain is low, thus highlighting the extremeusefulness of terrain-susceptibility maps for riskprevention and territorial planning.     

郯庐断裂南段研究进展与断裂性质讨论

据1：5万区域地质调查和专题研究资料，就郯庐断裂带是否南延与消失的原因，其与大别—苏鲁造山带交截形成的假位错效应，以及与中新生代沉积盆地形成演化的关系等作了新的阐述。在此基础上，讨论了郯庐断裂带是否为巨大的左行平移断层或转换断层。认为郯庐断裂带可能是在“古郯庐带”的基础上于早侏罗世重新活动、白垩纪强烈活动的地堑型枢纽断裂带。     

塘口水电站坝基岩体透水性和渗漏问题分析

塘口水电站大坝基础座落在断层和裂隙较发育的龟裂纹灰岩上,岩体完整性差、透水性强,多年运行后,大坝灌浆廊道和排水廊道出现多处集中性漏水,为确保大坝安全和电站正常发电,根据渗漏性质和成因,采用对灌浆廊道补充帷幕灌浆,对排水廊道进行固结+帷幕+回填灌浆。通过灌浆处理后,效果良好,表明灌浆工程有效的将导致坝基渗漏的上下游的裂隙通道封闭,并顺利的经受了随后的汛期洪水考验,大坝安全得到保障。     

Unity of the national and the international in the socio-cultural development of the peoples of the USSR

International unity is becoming ever stronger in this country owing to an increasing similarity in the development of the cultural environment. This comprises the provision of all the country's republics with a sufficient number of schools, theatres, and other institutions and cultural information media in accordance with the needs of the population. An important part is played by the rise in ‘the general educational level, as well as the level of professional qualifications and skills. Among all the Soviet nations and nationalities, this rise being more rapid among formerly backward peoples. Prominent among the factors of internationalization is the progressive development of the nationalities’ cultural resources, while professional culture is being increasingly brought within the reach of the masses.The implementation of the nationalities policy promotes the all-round development of all Soviet nations and nationalities, their drawing together, the upsurge of the individual capabilities of every Soviet citizen.     

某高速公路下伏煤矿采空区稳定性分析

在论述某高速公路下伏砦脖煤矿采空区地质、采矿和工程地质特征的基础上, 进行了稳定性数值模拟分析, 定性与定量地分析与评价了该煤矿采空区的地表变形特征及稳定性。研究结果表明: 该煤矿采空区的变形尚未完成, 对拟建的高速公路将产生很大的危害, 必须采取相应的工程治理措施。      

Report of the restudy of the defined global stratotype of the base of the Silurian System

The Global Stratotype Section and Point （GSSP） for the base of the Silurian System was defined in 1985. Since that time, a number of researchers have suggested that this section has serious deficiencies for use as a GSSP. As a result, in 2000, the Subcommission on Silurian Stratigraphy （SSS） proposed undertaking a formal restu@ of this GSSP, which was subsequently approved by the International Commission of Stratigraphy （ICS）. The result of this restudy was the formal proposal that the current GSSP, at 1.6 m above the base of the Birkhill Shale, at Dob＇s Linn, Scotland, should be maintained as the same locality and stratigraphic level, but the bios- tratigraphical definition of the boundary should be revised. The previously defined, basal Silurian grapto- lite zone, the Parakidograptus acuminatus Zone, should be subdivided into a lower Akidograptus ascensus Zone and a higher E acuminatus Zone. The base of the A. ascensus Zone, marked by the first appearance of A. ascensus, should be regarded as the biostratigraphic mark for the base of the Silurian. This proposal has now been formally approved by the SSS and ICS, and ratified by International Union of Geological Sciences. This is the first GSSP to undergo formal restudy and redefini- tion, and the proposal also included a recommended procedure for restudy of GSSPs.     

Calculation of the Inverse of the Covariance

In reservoir characterization, the covariance is often used to describe the spatial correlation and variation in rock properties or the uncertainty in rock properties. The inverse of the covariance, on the other hand, is seldom discussed in geostatistics. In this paper, I show that the inverse is required for simulation and estimation of Gaussian random fields, and that it can be identified with the differential operator in regularized inverse theory. Unfortunately, because the covariance matrix for parameters in reservoir models can be extremely large, calculation of the inverse can be a problem. In this paper, I discuss four methods of calculating the inverse of the covariance, two of which are analytical, and two of which are purely numerical. By taking advantage of the assumed stationarity of the covariance, none of the methods require inversion of the full covariance matrix.     

Deviation of the major axis of the inertia ellipsoid of the Moon from the direction toward the Earth

It is known from observations that the center of mass of the Moon does not coincide with the geometric center of its figure, and the line connecting these two centers is not aligned with the direction toward the center of the Earth, instead deviating toward the Southeast. This stationary deviation of the axis of the inertia ellipsoid of the Moon to the South of the direction toward the Earth is analyzed. A system of five linear differential equations describing the physical libration of the Moon in latitude is considered, and these equations are derived using a new vector method taking into account perturbations from the Earth and partly from the Sun. The characteristic equation of this system is obtained, and all five oscillation frequencies are found. Special attention is paid to the fifth (zero) frequency, for which the solution of the latitude libration equations are stationary and represents a previously unknown additional motion of the rotational axis of theMoon in a cone with a small opening angle. In contrast to the astronomical precession of the Earth, the rotation of the angular-velocity vector is in the positive direction (counter-clockwise), with the period T ₃ = 27.32 days. On this basis, this phenomenon has been named “quasi-precession.” This quasi-precession leads to a stationary inclination of the major axis of the inertia ellipsoid of theMoon to the South (for an observer on Earth), making it possible to explain one component of the observed deviation of the center of mass of the Moon from the direction toward the Earth. The opening angle of the quasiprecession cone is approximately 0.834″.