A perturbation solution for dyke propagation in an elastic medium with graded density

doi:10.1111/j.1365-246X.2006.03297.x

	A perturbation solution for dyke propagation in an elastic medium with graded density
	Chen, Zuan ; Jin, Z-H.; Johnson, S. E.
刊名	GEOPHYSICAL JOURNAL INTERNATIONAL
	2007-04-01
卷号	169 期号:1 页码:348-356
关键词	buoyancy density gradation dyke propagation magma transport overpressure perturbation method
ISSN号	0956-540X
DOI	10.1111/j.1365-246X.2006.03297.x
文献子类	Article
英文摘要	We present a perturbation method to investigate the steady-state propagation of a dyke from an over pressured source (e.g. a magma chamber) into a semi-infinite elastic solid with graded mass density. The non-linear dyke propagation/magma transport problem is reduced to a series of linear problems using a perturbation technique with the small non-dimensional parameter epsilon = 12 eta V/(H-2 Delta rho(0)g), where eta is the magma viscosity, V the propagation velocity, Delta rho(0) the difference between the densities of the host rock and magma at the dyke tail, g the gravitational acceleration and H a parameter on the order of maximum dyke thickness. In general, the perturbation method is applicable to mafic dyke propagation at a relatively low propagation velocity wherein epsilon remains small (e.g. less than 0.1). We describe an integral equation approach to obtain the stress intensity factor at the dyke tip and the separation displacement of the two dyke surfaces. Numerical examples are presented to examine the effects of various physical parameters, for example, buoyancy, density gradation, propagation velocity and overpressure on the dyke propagation behaviour. It is found that dyke propagation could reach a steady-state in some specific ranges of growth for a given density gradient of the host rock. The propagation tends to decelerate when the dyke tip approaches the level of neutral buoyancy.
WOS关键词	DRIVEN CRACK-PROPAGATION ; FLEXIBLE-WALLED CHANNEL ; MAGMA ; SOLIDIFICATION ; FLOW ; FRACTURE ; RELEASE
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	OXFORD UNIV PRESS
WOS记录号	WOS:000245608600028
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/68468]
专题	中国科学院地质与地球物理研究所
通讯作者	Chen, Zuan
作者单位	1.Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R China 2.Univ Maine, Dept Mech Engn, Orono, ME 04469 USA 3.Univ Maine, Dept Earth Sci, Orono, ME 04469 USA
推荐引用方式 GB/T 7714	Chen, Zuan,Jin, Z-H.,Johnson, S. E.. A perturbation solution for dyke propagation in an elastic medium with graded density[J]. GEOPHYSICAL JOURNAL INTERNATIONAL,2007,169(1):348-356.
APA	Chen, Zuan,Jin, Z-H.,&Johnson, S. E..(2007).A perturbation solution for dyke propagation in an elastic medium with graded density.GEOPHYSICAL JOURNAL INTERNATIONAL,169(1),348-356.
MLA	Chen, Zuan,et al."A perturbation solution for dyke propagation in an elastic medium with graded density".GEOPHYSICAL JOURNAL INTERNATIONAL 169.1(2007):348-356.