Civil Engineering MCQAE Level Civil Engineering
The continuity equation governing steady-state seepage through an isotropic soil is:
Soil MechanicsLaplace Equation SeepageMEDIUM
Choose the correct answer
A
k(∂²h/∂x² + ∂²h/∂y²) = 0 (Laplace equation)
B
∂²h/∂x² × ∂²h/∂y² = 0
C
k∂h/∂x = Q
D
∂h/∂t = C_v∂²h/∂z²
Correct Answer
A. k(∂²h/∂x² + ∂²h/∂y²) = 0 (Laplace equation)
AI Detailed Explanation & IS Code Reference
Unlock the reasoning, formula path and code-linked notes inside your student dashboard.
Laplace equation: ∇²h = ∂²h/∂x² + ∂²h/∂y² = 0 (for isotropic soil, k_x = k_y). This governs the total head distribution in steady seepage. Flow nets are graphical solutions to this equation.
ScoreCardAI links this solution with subject, topic and difficulty signals so your scorecard can identify weak areas after a full mock test.
Concept shortcut
IS/IRC reference
Common trap
Practice more Civil Engineering questions
This MCQ belongs to AE Level Premium Test Series. Full tests include timed attempts, rank comparison and subject-wise analysis.