LIST-I LIST-II A. Darcy's law I. Vertical Drainage B. Hooghoudt equation II. Hydraulic conductivity C. Biodrainage III. Trees like poplar D. Drainage well IV. Spacing of tile drains
Choose the correct answer from the options given below:
This question requires matching hydrological and drainage terms from LIST-I with their corresponding descriptions or applications in LIST-II. Let's analyze each item:
Darcy's Law describes the fundamental relationship governing fluid flow in porous media, like soil. It states that the flow rate is proportional to the cross-sectional area and the hydraulic gradient, and inversely proportional to the length of the flow path. The proportionality constant is known as the hydraulic conductivity, which is a measure of how easily water can move through the soil. The law is often expressed mathematically as $Q = -KA \frac{dh}{dx}$, where $Q$ is the flow rate, $K$ is the hydraulic conductivity, $A$ is the cross-sectional area, and $\frac{dh}{dx}$ is the hydraulic gradient. Therefore, Darcy's law is intrinsically linked to II. Hydraulic conductivity.
The Hooghoudt equation is a widely used formula in agricultural drainage engineering. Its primary purpose is to calculate the required spacing of tile drains (or ditches) needed to maintain the water table below a certain desired level, considering factors like soil properties, drain depth, and drain spacing.
Biodrainage refers to the process of removing excess water from soil using biological means, primarily through the action of plants. Plants absorb significant amounts of water through their roots and transpire it into the atmosphere. Certain types of trees, such as poplar, are particularly effective due to their extensive root systems and high water consumption. Thus, biodrainage is associated with III. Trees like poplar.
A drainage well (also known as a recharge well or injection well in different contexts) is a structure designed to dispose of or manage water by allowing it to sink into the ground. In the context of drainage, it facilitates the removal of excess water, often from the surface or shallow subsurface, directing it downwards. This process is fundamentally about I. Vertical Drainage.
Based on the analysis, the correct matches are:
| A. Darcy's law | II. Hydraulic conductivity |
| B. Hooghoudt equation | IV. Spacing of tile drains |
| C. Biodrainage | III. Trees like poplar |
| D. Drainage well | I. Vertical Drainage |
Therefore, the correct option is the one that represents the matching A-II, B-IV, C-III, D-I.