层状热储地热井权益保护半径计算探讨

为保证地热资源的可持续开采,防止地热尾水回灌时发生热突破现象,文章系统整理了地热井权益保护半径的计算方法。通过理论推导,发现开采井权益保护半径的计算方法有3个不足之处(1)公式中参数f定义为水比热与热储岩石比热的比值,存在缺陷;(2)热储回收率取值0.15,较为片面,不能代表不同岩性热储回收率的取值;(3)计算时间固定为36500 d,较为片面,不适用于地热井间歇开采期。针对上述问题,该文重新给定了参数f的定义,并将热储回收率和开采时间以变量符号替代,可根据不同热储层和具体开采时间加以确定。通过研究不同回灌井权益保护半径计算方法的适用条件,提出应根据(β-1-α)与3λ的大小关系选择不同的计算公式。对开采井和回灌井权益保护半径计算公式进行对比,发现开采井权益保护半径恒大于回灌井权益保护半径,并以德城区水文家园开采系统和回灌系统为例进行计算,验证了理论推导的结果。

Discussion on the calculation of the rights protection radius of the geothermal well for stratified thermal reservoir

In order to ensure the sustainable exploitation of geothermal resources and prevent the occurrence of thermal breakthrough during the process of geothermal water reinjection, the authors systematically summarized the calculation formulas of the rights protection radius of the geothermal well in this paper. Three shortcomings in the calculation method of the rights protection radius of the geothermal well were identified through theoretical derivation. (1) The parameter f, which is defined as the ratio of the specific heat of water to that of thermal reservoir rocks, is defective. (2) The value of the thermal reservoir recovery rate defined as 0.15 is relatively unilateral, which is not applicable for geothermal wells with different lithology. (3) The calculation time is fixed as 36 500 d, which is not appropriate for geothermal wells with interval development. Based on the problems above, the authors redefined the parameter f and used variables to replace the previous thermal reservoir recovery rate and exploitation time, which can be identified according to different thermal reservoirs and specific exploitation time. By comparison of the applicable conditions of different calculation formulas of the rights protection radius of the geothermal well, the authors proposed that different calaulation formuas should be chosen based on the relationship of the size between β^-1-α and 3λ. And by comparison of the rights protection radius calculation formulas for the mining well and the recharge well, it is found that the rights protection radius of the mining well is always bigger than that of the recharge well. Finally, Shuiwen residential area of Decheng district was taken as an example to verfity the theoretical results.