Reservoir desilting device having funnel with bivariate normal surface

A reservoir desilting device, comprising a sediment inlet funnel and a sediment transport pipeline, wherein the sediment inlet funnel is located in a sediment accumulation area in a reservoir, the sediment transport pipeline is laid on a river bed of the reservoir, the bottom of the sediment inlet funnel is connected to one end of the sediment transport pipeline, and the other end of the sediment transport pipeline penetrates a bottom of a dam;

• and the sediment inlet funnel has the shape of a bivariate normal surface, the sediment transport pipeline has the shape of an inverse hyperbolic geodesic curve, and the sediment transport pipeline is provided with a valve;
• wherein the sediment inlet funnel has a forward direction of a z axis upwards along a water depth upwards, a forward direction of an x axis in a water flow direction, and a forward direction of a y axis departing from a shore, and the sediment inlet funnel has the shape satisfying:
• z
• =
• f
• ⁡
• (
• x
• ,
• y
• )
• =
• -
• k
• 2
• ⁢
• πσ
• x
• ⁢
• σ
• y
• ⁢
• exp
• [
• -
• (
• x
• 2
• 2
• ⁢
• σ
• x
• 2
• +
• y
• 2
• 2
• ⁢
• σ
• y
• 2
• )
• ]
• wherein σx is a standard deviation in an x direction, σy is a standard deviation in a y direction, and k is a correction factor.