Infiltration from a surface point source and drip irrigation: 2. An approximate time-dependent solution for wet-front position

1997 ◽  
Vol 33 (8) ◽  
pp. 1869-1874 ◽  
Author(s):  
P. Revol ◽  
B. E. Clothier ◽  
J.-C. Mailhol ◽  
G. Vachaud ◽  
M. Vauclin
Keyword(s):  
Point Source ◽  
Drip Irrigation ◽  
Time Dependent ◽  
Surface Point ◽  
Front Position ◽  
Time Dependent Solution

Seismic waves from finite faults in layered media

1979 ◽  
Vol 69 (6) ◽  
pp. 1693-1714
Author(s):  
F. Abramovici ◽  
J. Gal-Ezer
Keyword(s):  
Point Source ◽  
Half Space ◽  
Seismic Waves ◽  
Time Dependent ◽  
Homogeneous Layer ◽  
Two Dimensional ◽  
Homogeneous Half Space ◽  
Finite Line ◽  
Finite Line Source ◽  
Time Dependent Solution

abstract The time-dependent solution for a multipolar source in a structure consisting of a homogeneous layer over a homogeneous half-space is obtained as a sum of generalized rays. Numerical seismograms are calculated for a horizontal strikeslip and a horizontal dip-slip for a point-source, a finite line-source, and a finite two-dimensional source in the form of a rectangle. For comparison, the displacements in a homogeneous space and half-space are also calculated. The seismograms for finite sources are similar to those for a point-source but show less conspicuous phases, the arriving pulses being wider and less sharp.

Infiltration from a surface point source and drip irrigation: 1. The midpoint soil water pressure

1997 ◽  
Vol 33 (8) ◽  
pp. 1861-1867 ◽  
Author(s):  
P. Revol ◽  
M. Vauclin ◽  
G. Vachaud ◽  
B. E. Clothier
Keyword(s):  
Point Source ◽  
Soil Water ◽  
Drip Irrigation ◽  
Water Pressure ◽  
Surface Point

A note on the time-dependent and the stationary behaviour of a semi-infinite reservoir subject to a combination of Markovian inflows

1971 ◽  
Vol 8 (04) ◽  
pp. 708-715 ◽  
Author(s):  
Emlyn H. Lloyd
Keyword(s):  
Functional Equation ◽  
Explicit Formula ◽  
Generating Function ◽  
Present Theory ◽  
The Other ◽  
Time Dependent ◽  
Independent Sequence ◽  
Time Dependent Solution ◽  
Infinite Reservoir ◽  
Stationary Behaviour

The present theory of finite reservoirs is not rich in general theorems even when of the simple Moran type, with unit draft and stationary discrete independent-sequence inflows. For the corresponding systems with unbounded capacity however there are two classes of results which have been known for some time. One of these classes is concerned with the time-dependent solution, where the theory provides a functional equation for the generating function of the time to first emptiness (Kendall (1957)), and the other with the asymptotic stationary distribution of reservoir contents, for which an explicit formula for the generating function is available (Moran (1959)).

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