Buoyancy-driven fluid fracture: similarity solutions for the horizontal and vertical propagation of fluid-filled cracks
Buoyancy-driven fluid fracture: similarity solutions for the horizontal and vertical propagation of fluid-filled cracks
复制标题
浮力驱动的流体破裂：充满流体的裂缝水平和垂直扩展的相似解
DOI：
10.1017/s0022112090000696
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发表时间：
1990
影响因子：
3.7
通讯作者：
J. Lister
中科院分区：
文献类型：
--
作者：
J. Lister
分析了将一种密度的流体引入嵌入不同密度的弹性固体中的裂缝中所产生的浮力驱动流动。缩放参数被用来确定的制度，其中不同的组合的浮力，弹性应力，粘性压降和材料韧性提供了占主导地位的压力平衡的流动。控制传播裂纹的形状和扩展速率的非线性方程的情况下，制定的浮力流体释放到一个更大的密度固体和横向传播的流体释放在一个较小的密度和一个更大的密度较低的层之间的界面释放的垂直传播。在假设流体体积由Qtα给出的情况下，推导出这些方程的相似解，其中Q和α是常数。层流和湍流被认为是。流体破裂是熔融岩石从地幔产出区向地表喷发或近地表侵位迁移的重要机制。理论解决方案提供了简单的模型，描述了弹性和流体力学现象之间的关系，涉及熔体通过地球岩石圈的垂直运输和熔体在接近地球表面的中性浮力水平的横向入侵。
Buoyancy-driven flows resulting from the introduction of fluid of one density into a crack embedded in an elastic solid of different density are analysed. Scaling arguments are used to determine the regimes in which different combinations of the buoyancy force, elastic stress, viscous pressure drop and material toughness provide the dominant pressure balance in the flow. The nonlinear equations governing the shape and rate of spread of the propagating crack are formulated for the cases of vertical propagation of buoyant fluid released into a solid of greater density and of lateral propagation of fluid released at an interface between an upper layer of lesser density and a lower layer of greater density. Similarity solutions of these equations are derived under the assumption that the volume of fluid is given by Qtα, where Q and α are constants. Both laminar and turbulent flows are considered. Fluid fracture is an important mechanism for the transport of molten rock from the region of production in the Earth's mantle to surface eruptions or near-surface emplacement. The theoretical solutions provide simple models which describe the relation between the elastic and fluid-mechanical phenomena involved in the vertical transport of melt through the Earth's lithosphere and in the lateral intrusion of melt at a neutral-buoyancy level close to the Earth's surface.