Advection of methane in the hydrate zone: model, analysis and examples
Advection of methane in the hydrate zone: model, analysis and examples
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水合物区甲烷平流：模型、分析和实例
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发表时间：
2014
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通讯作者：
J. Webster
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文献类型：
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作者：
M. Peszynska;R. Showalter;J. Webster
本文建立了一个两相双组分模型，模拟了甲烷在沉积物中的对流扩散输运过程，并伴随着甲烷水合物的形成和溶解。这个自由边界问题在L1中有唯一的广义解;证明结合了稳定半线性椭圆Dirichlet问题的分析和Banach空间中m增生多值算子的非线性半群理论。得到了最大原理型的额外估计，这些估计允许相变关系的适当最大扩展。一个纯平流的例子表明这些估计和模型的局限性在这里开发。我们还考虑和分析的耦合压力方程，确定在传输模式中的平流通量。版权所有© 2015约翰威利父子有限公司.
A two‐phase two‐component model is formulated for the advective–diffusive transport of methane in liquid phase through sediment with the accompanying formation and dissolution of methane hydrate. This free‐boundary problem has a unique generalized solution in L1; the proof combines analysis of the stationary semilinear elliptic Dirichlet problem with the nonlinear semigroup theory in Banach space for an m‐accretive multi‐valued operator. Additional estimates of maximum principle type are obtained, and these permit appropriate maximal extensions of the phase‐change relations. An example with pure advection indicates the limitations of these estimates and of the model developed here. We also consider and analyze the coupled pressure equation that determines the advective flux in the transport model. Copyright © 2015 John Wiley & Sons, Ltd.