Spatial interpolation of bed material data in boundary fit curvilinear coordinate system in river channel
In a curved river channel with irregular bank boundary,the law of spatial variation of bed material is often apparent only in the streamwide direction and the transversal direction.In such circumstances,it is difficult to apply geological statistical method to interpolate bed material structure inside the channel bed area within geographic coordinate systems.To overcome this difficulty,an algorithm integrating the coordinate transformation technology of boundary fit curvilinear and the theory of geological statistic was proposed.With the application example in a typical channel reach in the middle Yangtze River,it was exhibited that the pattern of spatial distribution of bed material layers could be distinguished effectively when analyzing spatial variation function in boundary fit curvilinear coordinates.Therefore,the precondition of the application of ordinary Kriging interpolation algorithm could be met.Comparing to conventional method of spatial interpolation,the calculation results achieved by this algorithm agree better with the characteristics of sand layer on bed,such as uneven distribution and variation anisotropy.The improvement of spatial interpolation of bed material structure with the proposed method will be helpful to the modeling of bed deformation in river reach of sand-gravel-mixing bed.
meander river channelbed material structureboundary fit curvilinear coordinateKriging interpolation