Question

Difficulty: HardDrainage Patterns and River Basin Analysis

Two adjacent drainage basins, Basin A and Basin B, experience identical climatic conditions and precipitation levels. A geomorphic survey records the following morphometric data:

Drainage BasinTotal Channel Length (LL)Total Basin Area (AA)
Basin A180 km180\text{ km}60 km260\text{ km}^2
Basin B50 km50\text{ km}50 km250\text{ km}^2

Based on the drainage density of each basin, which of the following statements accurately compares their hydrological and geological characteristics?

  1. Basin A has a higher drainage density (3.0 km/km23.0\text{ km/km}^2), indicating predominantly impermeable surface rocks, higher surface runoff, and a faster flood response compared to Basin B.Answer
  2. B
    Basin A has a lower drainage density (0.33 km/km20.33\text{ km/km}^2) than Basin B (1.0 km/km21.0\text{ km/km}^2), indicating greater surface permeability and enhanced groundwater infiltration in Basin A.
  3. C
    Basin A's drainage density of 3.0 km/km23.0\text{ km/km}^2 is primarily produced by lower-course floodplain depositional features such as oxbow lakes and meander loops that lengthen channels.
  4. D
    Basin B has a higher drainage density than Basin A because V-shaped contour lines across its main channels point downstream towards the basin outlet.

Answer

Basin A has a higher drainage density (3.0 km/km23.0\text{ km/km}^2), indicating predominantly impermeable surface rocks, higher surface runoff, and a faster flood response compared to Basin B.
The option identifying Basin A as having a higher drainage density (3.0 km/km23.0\text{ km/km}^2) is correct because DdD_d is calculated by dividing total stream length (180 km180\text{ km}) by total basin area (60 km260\text{ km}^2). High values of drainage density reflect dense channel development, typical of impermeable rock strata where water cannot easily infiltrate, resulting in high surface runoff velocity.

Step-by-Step Solution

1
Calculate the drainage density (DdD_d) for Basin A using the formula Dd=LAD_d = \frac{L}{A}.
Dd(Basin A)=180 km60 km2=3.0 km/km2D_d(\text{Basin A}) = \frac{180\text{ km}}{60\text{ km}^2} = 3.0\text{ km/km}^2.
Drainage density measures the total channel length per unit basin area.
2
Calculate the drainage density (DdD_d) for Basin B.
Dd(Basin B)=50 km50 km2=1.0 km/km2D_d(\text{Basin B}) = \frac{50\text{ km}}{50\text{ km}^2} = 1.0\text{ km/km}^2.
Provides the baseline comparison value for Basin B.
3
Interpret the geomorphic and hydrological implications of high vs. low drainage density.
Basin A (3.0 km/km2>1.0 km/km23.0\text{ km/km}^2 > 1.0\text{ km/km}^2) has a higher stream network concentration, which signifies impermeable bedrock/clay soils, reduced infiltration, and rapid surface runoff leading to intense flood peaks.
High drainage density correlates with surface impermeability, sparse vegetation, and efficient surface runoff networks.

Key Concept

Drainage Density (DdD_d) and Basin Hydrology
Estimated Time:2m 0s
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