Step 1: Understanding the Concept:
Field measurement of saturated hydraulic conductivity ($K$) utilizes the auger hole method below a shallow water table and the inverse auger hole (Porchet) method in the unsaturated zone above the water table.
Key Formula or Approach:
\[ K = \frac{1.15 r \log_{10}(h_1 + r/2) - \log_{10}(h_2 + r/2)}{t_2 - t_1} \quad \text{(Inverse Auger Hole / Porchet Method)} \]
Step 2: Detailed Explanation:
1. Statement I: The classical Auger Hole Method (Ernst/Van Beers) is used exclusively below an existing shallow water table. Water is pumped out of the hole, and the rate of water rise is recorded. Hence, Statement I is incorrect.
2. Statement II: The Inverse Auger Hole Method (Porchet's Method) is used to measure hydraulic conductivity above the water table (in the unsaturated vadose zone). Water is poured into a dry auger hole, and the rate of infiltration/fall of water level is measured under constant/falling head. Hence, Statement II is true.
Step 3: Final Answer:
Thus, Statement I is incorrect but Statement II is true, matching option (D).