基于跟驰理论的内河航道通过能力计算模型

Calculation model of inland waterway transit capacity based on ship-following theory

为了确定合理的航道建设规模与布局,分析了航道通过能力的内涵,给出了航道理想通过能力具体定义,并运用最优化原理和非线性跟驰理论,建立了船头间距与船舶速度之间的函数关系,进而从微观角度建立了航道通过能力的计算模型。结合不同等级航道的实际状况,对航道通过能力进行了验算,并与其他模型的计算结果进行对比。计算结果表明:二～五级航道理论通过能力分别为11.42×104、5.72×104、3.66×104、2.75×104t,与其他模型的计算结果较为接近,因此,以临界船头间距和临界速度为基础的微观模型能够精确计算出各级航道的通过能力。

In order to make sure the scale and layout of inland waterway reasonably, the connotation of waterway transit capacity was analyzed. The functional relationship between space headway and vessel velocity was studied by using optimization principle and nonlinear ship- following theory, and the calculation model of waterway transit capacity was established from microscopic view. The model was validated combined with the data of different grade waterways, and its result was compared with that of other models. Comparison result shows that the transit capacities of waterways from grade 2 to grade 5 are 11.42× 10^4 t, 5.72 × 10^4 t, 3.66× 10^4 t and 2.75 × 10^4 t respectively, which are close to the results of other models, so the calculation model based on critical space headway and critical velocity can accurately compute the waterway transit capacity.