In the paddy field, where crop rotation has been practised, the rising of groundwatertable due to the seepage from the neighbouring paddy field has caused the damage of crops. In this paper, the groundwater table in the rotational paddy field separated by the drainage ditch from the neighbouring paddy field was considered for the study of its underdrainage system.
At first, the flow region bounded by an impervious boundaryat a finite depth was considered. The groundwater table was transformed into a straight line by an auxiliary transformation called Zhukovsky's function, such as
G=
z-
iw/
kwhere, z is the complex plane, w is the complex potential, k is the hydraulic conductivity and i is the imaginary unit. Then the flow problem could be analysed using the theory of comformal mapping. As a result of this analysis, it was found that the groundwater level was the most affected by the depth of an impervious boundary. When the impervious boundary is fairly deep, the groundwater table will rise up near to the soil surface, but it will fall deeper as theimpervious boundary becomes shallower.
where,
z is the complex plane, w is the complex potential,
k is the hydraulic conductivity and
i is the imaginary unit. Then the flow problem could be analysed using the theory of comformal mapping. As a result of this analysis, it was found that the groundwater level was the most affected by the depth of an impervious boundary. When the impervious boundary is fairly deep, the groundwater table will rise up near to the soil surface, but it will fall deeper as theimpervious boundary becomes shallower.
When the aquifer head is different from the soil surface level, the theoretical analysis for the groundwater table is very difficult. In this case, the author hassolved the problem experimentally using the resistance network analogue of G-plane. The experimental results showed that the groundwater table would always rise up to just the same level as the aquifer head.
From the theoretical and experimental results mentioned above, it was summarized that the groundwater table in the rotational paddy field was raised by theseepage from the neighbouring paddy field and/or from the overlying aquifer, and that the extent of rising was much affected by the boundary conditions of the overlying layer. Accordingly, when the underdrainage in the rotational paddy field which is to be adjacent to a paddy field is planned, it isnecessary to investigate in detail the conditions of the overlying layer, i. e. the existence of an impervious layer or an aquifer and its depth or hydraulic head, respectively.
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