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Singularity of lithosphere mass density over the mid-ocean ridges and implication on floor depth and heat flow

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Geoscience Frontiers 2023年第5期14卷 55-71页

作者： qiuming cheng State Key Lab of Geological Processes and Mineral Resources China University of Geosciences(Bejing)Beijing 100083China School of Earth Science and Engineering Sun Yat-sen UniversityZhuhai 519000China

The relation of heat flow and floor depth across the mid-ocean ridges versus lithosphere age can be described by linear functions of square root of age according to plate thermal conductive Half Space Models(HSM).However,one of the long-standing problems of these classical models is the discrepancies between predicted and observed heat flow and floor depth for very young and very old *** have been several recent attempts to overcome this problem:one model incorporates temperature-and pressure-dependent parameters and the second model includes an additional low-conductivity crustal layer or magma rich mantle layer(MRM).Alternatively,in the current paper,the ordinary density of lithosphere in the plate conductive models is substituted with a reduction of lithosphere density towards axis that features the irregularity and nonlinearity of plates across the mid-ocean ridges.A new model is formulated incorporating the new form of density for predicting both peak heat flow and floor *** solutions of power-law forms derived from the model can significantly improve the predicting results of heat flow and floor depth over the mid-ocean *** datasets in the literature were reutilized for model validation and *** datasets include both earlier datasets used for original model calibration and the more recently compiled high-quality datasets with both sedimentary and crustal loading *** results indicate that both the heat flow and the slope(first orderderivative)of sea floor approach infinity(undifferentiability or singularities)around the mid-ocean *** singularities are partially due to the boundary condition as it has been already known in the literature and partially to the reduction of density of lithosphere as discovered for the first time in the current research.

关键词： Mid-ocean ridges Plate cooling model Lithosphere density Conductive model Heat-flow Floor depth

IUGS’Initiative on Data-Driven Geoscience Discovery

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Journal of Earth Science 2021年第2期32卷 468-470页

作者： qiuming cheng State Key Laboratory of Geological Processes and Mineral Resources China University of GeosciencesBeijing 100083China

1 IUGS’NEW INITIATIVE OF BIG SCIENCE PROGRAM Numerous scientific advances indicate that geoscience is entering a new era for real-time integrative and interdisciplinary Earth system *** have been continually making gratifying progress in many fields of the Earth sciences with findings filling gaps in our knowledge about the Earth and how it works,as well as other findings directly associated with the sustainable development of our society.

关键词： Earth IUGS finding

A New Mathematical Framework and Spatial Decision Support System for Modeling Cascade Interdependency of Critical Infrastructure during Geo-Disasters

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Journal of Earth Science 2017年第1期28卷 131-146页

作者： qiuming cheng State Key Laboratory of Geological Processes and Mineral Resources China University of Geosciences Beijing 100083Wuhan 430074 China

Critical infrastructures（CI） are designated sectors that if incapacitated or destroyed by natural disasters would have a serious impact on national security and economic and social welfare. Due to the interdependency of critical infrastructures failure of one infrastructure during a natural disaster such as earthquake or flood may cause failure of another and so on through a cascade or escalating effect. Quantification of these types of interdependencies between critical infrastructures is essential for effective response and management of resources for rescue, recovery, and restoration during times of crises. This paper proposes a new mathematical framework based on an asymmetric relation matrix constructed in a bottom-up approach for modeling and analyzing interdependencies of critical infrastructures. Asymmetric dependency matrices can be constructed using the asymmetric incidence coefficient based on node-level relationships defined between nodes for measuring the strength of interdependency between node and node, node and network, and networks and networks. These asymmetric matrices are further analyzed for ranking infrastructures in terms of their relative importance and for identifying nodes and infrastructure networks that play a critical role in chain effects among infrastructures involved in geo-disaster events such as flooding. Examples of interdependency analysis for the identification of vulnerabilities among fifteen national defense-related infrastructure sectors by the Australian government and a simulated example using the newly developed GIS-based network simulator Geo PN are used to validate and demonstrate the implementation and effectiveness of interdependency analysis methods in analyzing infrastructure interdependency during a flooding event.

关键词： infrastructure interdependency asymmetric relations disaster management GIS,spatial decision support system.

Fractal Calculus and Analysis for Characterizing Geoanomalies Caused by Singular Geological Processes

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Journal of Earth Science 2021年第2期32卷 276-278页

作者： qiuming cheng State Key Laboratory of Geological Processes and Mineral Resources China University of GeosciencesBeijing 100083China

Integral and differentiation are two mathematical operations in modern calculus and analysis which have been commonly applied in many fields of *** and differentiation are associated and linked as inverse operation by the fundamental theorem of *** integral and differentiation are defined based on the concept of additive Lebesgue measure although various generations have been developed with different forms and *** can be considered as geometry with fractal dimension(e.g.,non-integer)which no longer possesses Lebesgue additive ***,the ordinary integral and differentiation operations are no longer applicable to the fractal geometry with *** paper introduces a recently developed concept of fractal differentiation and integral *** operations are expressed using the similar notations of the ordinary operations except the measures are defined in fractal space or measures with fractal *** calculus operations can be used to describe the new concept of fractal density,the density with fractal dimension or density of matter with fractal *** concept and methods are also applied to interpret the Bouguer anomaly over the mid-ocean *** results show that the Bouguer gravity anomaly depicts singularity over the mid-ocean *** development of new calculus operations can significantly improve the accuracy of geodynamic models.

关键词： fractal integral fractal differentiation fractal density Bouguer gravity anomaly mid-ocean ridges

New Fractal Evidence of Pacific Plate Subduction in the Late Mesozoic, Great Xing’an Range, Northeast China

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Journal of Earth Science 2019年第5期30卷 1031-1040页

作者： Pingping Zhu qiuming cheng Guoxiong Chen School of Earth Sciences and Resources China University of Geosciences Beijing 100083 China State Key Laboratory of Geological Processes and Mineral Resources China University of Geosciences Beijing 100083 China State Key Laboratory of Geological Processes and Mineral Resources China University of Geosciences Wuhan 430074 China

Late Mesozoic granitoids are widespread in the Great Xing’an Range(GXR), which is part of a large igneous province in eastern China. The geodynamic setting of the Late Mesozoic granitoids is still debated, and there have been two dominant models proposed, subduction and thermal erosion. This study discusses the geodynamic mechanisms from a new perspective on ages of the granitoids and fractal dimensions of their shape. Our results show that granitoids become gradually older from South GXR to North GXR to Erguna Block(EB) in the Jurassic, and opposite in the Cretaceous. The fractal dimensions of the Perimeter-area model(DAP) exhibit the same features. The values of DAP are smaller from South GXR(0.673 1) to North GXR(0.628 0) to EB(0.607 9) in the Jurassic, and larger from South GXR(0.609 6) to North GXR(0.630 2) to EB(0.639 9) in the Cretaceous. This implies that the geometrical irregularities of the granitoids are shaped by subduction rather than thermal erosion. These spatial variations could be best explained by the subduction of the Pacific Plate and consequent granitoid magmatism in the Late Mesozoic, thus providing a new fractal evidence for Pacific Plate subduction mechanism and opening a new possibility method for studing plate movement.

关键词： granitoids Late Mesozoic fractal dimension Pacific subduction Great Xing’an Range Northeast China geochemistry mathematical geology

Preface to the Special Issue on Digital Geosciences and Quantitative Exploration of Mineral Resources

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Journal of Earth Science 2021年第2期32卷 267-268,I0001,I0002页

作者： qiuming cheng Yongqing Chen Renguang Zuo State Key Laboratory of Geological Processes and Mineral Resources China University of GeosciencesBeijing 100083China School of Earth Sciences and Resources China University of GeosciencesBeijing 100083China State Key Laboratory of Geological Processes and Mineral Resources China University of GeosciencesWuhan 430078China

*** Zhao is one of the pioneers in the fields of mathematical geology and mineral exploration in China and an honorary member of the International Association for Mathematical Geosciences(IAMG).During the 29 th Intern... 详细信息

关键词： geology Mathematical Exploration

Integration of Deep-time Digital Data for Mapping Clusters of Porphyry Copper Mineral Deposits

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Acta Geologica Sinica(English Edition) 2019年第S1期93卷 8-10页

作者： cheng qiuming China University of Geosciences(Beijing) China 100087

1 Introduction PCDs are generated in continental arcs in response to plate converging processes(subduction and collision)(Hou et al.,2009;Richards,2013).It is generally accepted that the formation of PCDs is associated with igneous activities either originating from lower crust or upper mantle,with contributions of crusts during the evolution of continental lithosphere.

关键词： porphyry mineral deposits mineral deposits clustering simulation and prediction plate tectonics big data

Mapping Spatial Distribution Characteristics of Lineaments Extracted from Remote Sensing Image Using Fractal and Multifractal Models

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Journal of Earth Science 2017年第3期28卷 507-515页

作者： cheng Lyu qiuming cheng Renguang Zuo Xueping Wang State Key Laboratory of Geological Processes and Mineral Resources China University of GeosciencesWuhan 430074China Faculty of Earth Resources China University of Geosciences Wuhan 430074China

Mapping mineral prospectivity in vegetated areas is a challenge. For this reason, we aimed to map spatial distribution characteristics of linear structures detected in remote sensing images using fractal and multifractal models. The selected study area was the Pinghe District of the Fujian Province（China）, located in the Shanghang-Yunxiao polymetallic and alunite ore belt（within the Wuyishan polymetallic belt）, where mineral resources such as copper, molybdenum, gold, silver, iron, lead, zinc, alunite and pyrophyllite have been discovered. The results of our study showed that：（1） the values of fractal dimension for all lineaments, NW-trending lineaments, and NE-trending lineaments, are 1.36, 1.32, and 1.23, respectively, indicating that these lineaments are statistically self-similar;（2） the fractal dimensions of the spatial distribution of the linear structures in the four selected hydrothermal-type ore deposits of the Pinghe District, named Zhongteng, Panchi, Xiaofanshan and Fanshan, are 1.43, 1.52, 1.37 and 1.37, respectively, which are higher than the mean value in South China;（3） the spatial distribution of the linear structures extracted from the remote sensing image and displayed by the contour map of fractal dimensions, correlates well with the known hydrothermal ore deposits; and（4） the results of the anomaly map decomposed by the spectrum-area（S-A） multifractal model is much better than the original fractal dimension contour map, which showed most of the known hydrothermal-type deposits occur in the high anomalous area. It is suggested that a high step tendency possibly matches with the boundary of the volcanic edifice and the deep fault controlling the development of the rock mass and the volcanic edifice. The complexity of the spatial distribution of mapped lineations（faults） in the Pinghe District, characterized by high values in the anomaly map, may be associated with the hydrothermal polymetallic ore mineralization in the study area.

关键词： fractal model ETM+ data vegetation coverage area Pinghe molybdenum deposit

Zircon U-Pb-Hf Isotopic Systematics and Geochemistry of the Granites in the Wurinitu Molybdenum Deposit, Inner Mongolia, China： Implications for Tectonic Setting and Genetic Type of Mineralization

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Acta Geologica Sinica(English Edition) 2016年第6期90卷 2066-2079页

作者： ZHANG Zhenjie cheng qiuming YAO Lingqing BAI Huishan LI cheng School of Earth Sciences and Resources China University of Geosciences Beijing 100083 China State Key Laboratory of Geological Processes and Mineral Resources (GPMR) China University of Geosciences Wuhan 430074 Hubei China

The Wurinitu Mo deposit is one of the newly found molybdenum deposits in the southwestern part of the late Paleozoic–Mesozoic Erenhot–Dong-Ujimqin metallogenic belt （S-EDMB）, Inner Mongolia, China. In the present study, the mineralization age of the Wurinitu deposit is constrained to 137.3 ± 1.3 to 131.9 ± 1.5 Ma based on a combination of the laser ablation–inductively coupled plasma–mass spectrometry （LA–ICP–MS） zircon U–Pb dating of the mineralization related fine-grained monzonitic granite and the post-mineralization granite porphyry. The results of zircon Lu–Hf isotopes, combined with the geochemical characteristics of the granites in the S-EDMB, suggest that the Wurinitu Mo deposit was formed in an extensional environment in relation to the subduction of the Paleo-Pacific plate in late Mesozoic. The Wurinitu deposit shares similarities with the classical Climax-type porphyry molybdenum deposits in tectonic setting, mineral assemblages, and metal zonation.

关键词： Wurinitu deposit U–Pb dating Lu–Hf isotopes geodynamic backgrounds of mineralization Climax-type