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Modeling the dynamics of a geothermal reservoir fed by gravity driven flow through overstanding saturated rocks

机译:模拟重力作用下穿过饱和饱和岩石的地热储层的动力学

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摘要

We formulate a mathematical model for a geothermal basin with an idealized geometry characterized by: (1) radial symmetry around an extracting well (or a cluster of wells), (2) a relatively thin horizontal fractured layer lying underneath a low permeability, low porosity rock layer, saturated with water. Vaporization is allowed only at the boundary of the extracting well (or well cluster). The model is based on the assumption that the flow from the reservoir to the well is fed by a gravity driven flow through the overstanding rocks. Despite the various simplifying assumptions, the resulting mathematical problem is considerably difficult also because we consider the effect of thermal expansion and thermal variation of viscosity. Though there is no evidence that the assumed configuration of the basin approaches the structure of a known geothermal field, the results obtained match with surprising accuracy the data of a specific field in the Mt. Amiata area (data kindly provided by ENEL Green Power through Tuscany Region).
机译:我们为具有理想几何形状的地热盆地建立了数学模型,其特征在于:(1)围绕一个抽采井(或一簇井)的径向对称性;(2)位于低渗透率,低孔隙度下的相对较薄的水平裂缝层岩石层,用水饱和。仅在提取井(或井簇)的边界处允许蒸发。该模型基于以下假设:从储层到井的流由重力驱动的流经上覆岩层的流供给。尽管有各种简化的假设,但由于我们考虑了热膨胀和粘度的热变化的影响,因此所产生的数学问题也相当困难。尽管没有证据表明盆地的假定构造接近已知地热场的结构,但获得的结果与Mt中特定场的数据具有惊人的准确性匹配。 Amiata地区(数据由ENEL Green Power通过托斯卡纳地区提供)。

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