A hydrologist uses a groundwater model where water level drops exponentially: h(t) = h₀ × e^(−0.02t). If the initial level is 50 meters, what is the drop in water level after 25 years?

Thu, 30 Apr 2026 18:09:53 +0000

Hydrologist Reveals How Groundwater Levels Drop Exponentially: A Case Study Using h(t) = h₀ × e^(−0.02t) Understanding how groundwater levels change over time is crucial for sustainable water resource management. In this SEO-optimized article, we explore a key mathematical model hydrologists use to predict decline in aquifer levels—specifically, an exponential drop described by the equation: h(t) = h₀ × e^(−0.02t) Where:
- h(t) = groundwater level at time t (in meters)
- h₀ = initial water level
- e = base of natural logarithms (~2.718)
- t = time in years
- The coefficient −0.02 represents the annual decay rate
- This model assumes a consistent decline, reflecting real-world conditions like over-extraction or drought