Aquifer Response to Sinusoidal or Arbitrary Stage of Semipervious Stream
Aquifer Response to Sinusoidal or Arbitrary Stage of Semipervious Stream
复制标题
含水层对半透水流正弦或任意阶段的响应
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
S. Singh
中科院分区：
文献类型：
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作者：
S. Singh
含水层响应的分析表达式，即，在考虑边界阻力的情况下，导出了半透水河流广义正弦水位的地下水水头、流量和累积流量。分析含水层响应线性流阶段和一个典型的分析洪水波所使用的库珀和Rorabaugh，也来自。对于零流阻力，含水层的响应收敛到一个完全贯穿流。此外，两种分析方法，斜坡核方法和傅立叶级数方法，获得含水层响应的任意时间阶段的透水河流，开发。推导了不同含水层响应的斜坡核函数的解析表达式。斜坡核方法被发现上级优于传统的卷积，使用数值积分或脉冲核获得卷积积分。在傅立叶级数法中，含水层对正弦阶的响应与傅立叶级数沿着使用。使用这两种方法得到的结果是非常一致的。新的方法也适用于完全穿透流通过指定一个零值的流阻力。
Analytical expressions for the aquifer responses, viz., groundwater head, rate of flow and cumulative volume of flow, to a generalized sinusoidal stage of semipervious streams considering the stream boundary resistance, are derived. The analytical aquifer responses to a linear stream stage and to a typical analytical flood wave that was used by Cooper and Rorabaugh, are also derived. For a zero-stream resistance, the aquifer responses converge to those for a fully penetrating stream. Also, two analytical methods, a ramp kernel method and a Fourier series method, for obtaining the aquifer responses to an arbitrary temporal stage of sempervious stream, are developed. The analytical expressions of the ramp kernels for different aquifer responses are developed. The ramp kernel method is found superior to the conventional convolution that uses numerical integration or pulse kernels for obtaining the convolution integral. In the Fourier series method, the aquifer responses to sinusoidal stage are used along with Fourier series. The results obtained using both methods are in close agreement. The new methods are also applicable to fully penetrating streams by assigning a zero value to the stream resistance.