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| 1 | 青海卡尔却卡多金属矿床热液与化学反应耦合成矿过程的数值模拟(英文)显示文摘青海卡尔却卡多金属矿床位于祁漫塔格成矿带,是一个典型的矽卡岩多金属矿床,该矿床形成的条件及详细动力学过程一直是地球科学研究工作中的重要课题。利用有限差分法对该地区的黄铜矿成矿过程进行数值建模,并在数值模拟中近似地考虑野外地质特征、成矿及其相关的地球化学条件。着重采用现代成矿理论定量地考虑卡尔却卡多金属矿床中黄铜矿的成矿化学反应过程。相关数值结果表明:含矿热液流动是该地区矿化的关键控制因素,而温度梯度是孔隙热液流体流动的主要驱动力。在卡尔却卡多金属矿床中,黄铜矿成矿的温度为250~350℃。这些相关的计算结果已通过地质勘查成果得到验证。由此表明:采用新兴计算地球科学中的成矿化学反应与有限差分模型耦合模拟方法有利于提高对该地区成矿过程的认识。 | 邹艳红 刘尧 潘勇 阳宽达 戴塔根 毛先成 赖建清 田海龙 | 2019 | Transactions of Nonferrous Metals Society of China2019，29，1： | 7 |
| 2 | 不同数值算法对模拟饱水孔隙岩石中化学溶解面非稳定性的影响(英文)显示文摘鉴于求得解析解的困难,需要采用数值方法和算法得到大量科学和工程问题的计算模拟结果。这对求解饱水孔隙岩石中化学溶解面非稳定性问题而言也不例外。由于这类非稳定性问题可具有常规解和非常规解,很有必要探讨不同数值算法对模拟饱水孔隙岩石中化学溶解面非稳定性的影响。因此,本文考虑了与常用有限元相关的2种不同数值算法。在第1种数值算法中,孔隙率、孔隙流体压力和酸液浓度被选为基本变量。在第2种数值算法中,孔隙率、孔隙流体流速和酸液浓度被选为基本变量。相关的计算模拟结果表明:(1)第1种数值算法可真实地模拟非稳定化学溶解面在化学溶解系统中传播时的演化过程;(2)第2种数值算法不能模拟非稳定化学溶解面在化学溶解系统中传播时的演化过程;(3)过度的数学微分运算是导致第2种数值算法失效的主要原因。 | 赵崇斌 Bruce HOBBS Alison ORD | 2018 | Journal of Central South University2018，25，8： | 3 |
| 3 | A unified theory for sharp dissolution front propagation inchemical dissolution of fluid-saturated porous rocks显示文摘This paper presents a unified theory to deal with when, why and how a sharp acidization dissolution front(ADF), which is represented by the porosity distribution curve, can take place in an acidization dissolution system composed of fluid-saturated porous rocks. The theory contains the following main points:(1) A reaction rate of infinity alone can lead to a sharp ADF of the Stefan-type in the acidization dissolution system. This sharp front is unstable when permeability in the downstream region is smaller than that in the upstream region.(2) For a finite reaction rate, when the acid dissolution capacity number approaches zero,the ADF can have a sharp profile of the Stefan-type either on a much smaller time scale or on a much larger time scale than the dissolution time scale. In the former case, the ADF may become unstable on a much larger time scale than the transport time scale, while in the latter case, it may become unstable if the growth rate of a small perturbation is greater than zero.(3) On the dissolution time scale, even if both the reaction rate is finite and the acid dissolution capacity number approaches zero, the profile of an ADF may not be sharp because it is in a transient state. In this case, not only can an ADF change its profile with time, but also its morphology can grow if the growth rate of a small perturbation is greater than zero. Due to the involvement of both the change rate and the growth rate of the ADF profile, it is necessary to conduct a transient linear stability analysis for determining whether or not a time-dependent ADF is stable in the acidization dissolution system. | ZHAO ChongBin HOBBS Bruce ORD Alison | 2019 | Science China(Technological Sciences)2019，62，1： | 3 |
| 4 | Transient-state instability analysis of dissolution-timescale reactive infiltration in fluid-saturated porous rocks: Purely mathematical approach显示文摘This paper deals with how the purely mathematical approach can be used to solve transient-state instability problems of dissolution-timescale reactive infiltration(DTRI) in fluid-saturated porous rocks. Three key steps involved in such an approach are:(1) to mathematically derive an analytical solution(known as the base solution or conventional solution) for a quasi-steady state problem of the dissolution timescale, which is viewed as a frozen state of the original transient-state instability problem;(2)to mathematically deduce a group of first-order perturbation partial-differential equations(PDEs) for the quasi-steady state problem;(3) to mathematically derive an analytical solution(known as the perturbation solution or unconventional solution) for this group of first-order perturbation PDEs. Because of difficulty in mathematically solving a transient-state instability problem of DTRI in general cases, only a special case, in which some nonlinear coupling between governing PDEs of the problem can be decoupled, is considered to illustrate these three key steps in this study. The related theoretical results demonstrated that the transient chemical dissolution front can become unstable in the DTRI system of large Zh numbers when the long wavelength perturbations are applied to the system. This new finding may lay the theoretical foundation for developing innovative technique to exploit shale gas resources in the deep Earth. | ZHAO ChongBin HOBBS Bruce ORD Alison | 2020 | Science China(Technological Sciences)2020，63，2： | 2 |
| 5 | 上地壳内饱水孔隙岩石中孔隙流体对流的有限元模拟综述(英文)显示文摘孔隙流体对流在生成地下深部矿产资源和油田过程中起着关键作用。因此,为了探测新的地下深部矿产资源和油田,非常有必要对驱动和控制饱水孔隙岩石中孔隙流体对流的热动力过程进行理论分析和数值模拟。根据科学的观点,上地壳内孔隙流体对流问题可被归结为一类发生在饱水孔隙介质中的热动力非稳定性问题。处理这类科学问题的关键点在于如何评价所考虑的热动力系统是否处于超临界状态。为了克服采用理论分析和实验方法在求解上地壳内孔隙流体对流问题时的局限性,有限元模拟方法已在过去二十多年中发展成为广泛使用的一种有效方法。本文的主要目的是对采用有限元模拟方法求解上地壳内孔隙流体对流问题的发展过程及应用进行综述。所考虑的应用主要涉及采用有限元模拟方法求解具有复杂几何构形和介质材料分布的大尺度地质系统中孔隙流体对流问题。尤其重要的是,本文详细地介绍了两种常用的有限元数值模拟方法,即稳态方法和瞬态方法,并对它们在模拟上地壳内孔隙流体对流问题时的优缺点进行了讨论。 | 赵崇斌 Bruce HOBBS Alison ORD | 2019 | Journal of Central South University2019，26，3： | 2 |
| 6 | Two different mathematical schemes for solving chemical dissolution-front instability problems in fluid-saturated rocks显示文摘Chemical dissolution-front instability(CDFI)problems usually involve multiple temporal and spatial scales,as well as multiple processes.A key issue associated with solving a CDFI problem in a fluid-saturated rock is to mathematically establish a theoretical criterion,which can be used to judge the instability of a chemical dissolution-front(CDF)propagating in the fluidsaturated rock.This theoretical paper deals with how two different mathematical schemes can be used to precisely establish such a theoretical criterion in a purely mathematical manner,rather than in a numerical simulation manner.The main distinguishment between these two different mathematical schemes is that in the first mathematical scheme,a curved surface coordinate system is used,while in the second mathematical scheme,a planar surface coordinate system is employed.In particular,all the key mathematical deduction steps associated with using these two different mathematical schemes are described and discussed in great detail.The main theoretical outcomes of this study have demonstrated that(1)two different mathematical schemes under consideration can produce exactly the same theoretical criterion;(2)the main advantage of using the first mathematical scheme is that the interface conditions at the curved interface between the downstream and upstream regions can be easily described mathematically;(3)the main advantage of using the second mathematical scheme is that the first-order perturbation equations of the CDFI problem can be easily described in a purely mathematical manner. | ZHAO ChongBin HOBBS Bruce ORD Alison | 2022 | Science China(Technological Sciences)2022，65，1： | 1 |
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