The behaviour of layered soil or rock containing a decaying heat source
The behaviour of layered soil or rock containing a decaying heat source
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DOI：
10.1002/nag.1610100504
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发表时间：
1986-09
影响因子：
4
通讯作者：
J. C. Small;J. Booker
中科院分区：
文献类型：
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作者：
J. C. Small;J. Booker
解决方案的层状土壤或岩石存款，其中包含一个热源的行为。当高放射性核废料被放置在地下深处时，就会出现这样的问题，因为这些废料在放置后的许多年里会继续产生热量。周围土壤或岩石的这种加热可能导致膨胀和破裂，随后污染地下水。结果给出了不同衰减率的热源和具有不同膨胀系数的材料层中的热源。文中还给出了一个岩石真实数据的应用实例。该解决方案的方法涉及应用傅立叶或汉克尔变换的领域的数量，这减少了二维或轴对称的问题，一个涉及一个单一的空间维度。在土壤或岩石是水平分层的情况下，该方法具有很大的优势，比其他数值方法，如有限元或有限差分技术，因为很少的计算机存储和数据准备时间是必需的。通过对场变量应用拉普拉斯变换，获得解，然后使用数值方法反演变换后的解，来进行时间相关问题的求解。这使得能够容易地解决涉及时间依赖性（即衰减）热源的问题。
Solutions are presented for the behaviour of layered soil or rock deposits which contain a heat source. Such a problem arises when high level nuclear waste is placed in deep underground depositaries, as the waste continues to generate heat for many years after placement. This heating of the surrounding soil or rock may lead to expansion and cracking with subsequent contamination of ground water. Results are presented for heat soureces with different decay rates and for heat sources in layers of material with different coefficients of expansion. An example using realistic data for rock is also given. The solution method involves applying Fourier or Hankel transforms to the field quantities and this reduces the two-dimensional or axisymmetric problem to one involving a single spatial dimension. In cases where the soil or rock is horizontally layered, the method has great advantages over other numerical methods such as finite element or finite difference techniques, since little computer storage and data preparation time is required. Solution of the time-dependent problem is carried out by applying Laplace transforms to the field variables, obtaining solutions and then using numerical means to invert the transformed solutions. This enables easy solution of problems involving time-dependent (i.e. decaying) heat sources.