Simulation of 3D multi-scale wormhole propagation in carbonates considering correlation spatial distribution of petrophysical properties
Simulation of 3D multi-scale wormhole propagation in carbonates considering correlation spatial distribution of petrophysical properties
复制标题
考虑岩石物理性质相关空间分布的碳酸盐岩中 3D 多尺度虫洞传播模拟
DOI：
10.1016/j.jngse.2016.04.014
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发表时间：
2016-05
影响因子：
--
通讯作者：
Xue H
中科院分区：
文献类型：
--
作者：
Liu PingLi;Xue Heng;Zhao LiQiang;Zhao XingDong;Cui MingYue;Xue H
虫孔扩展模拟是预测碳酸盐岩储层基质酸化和酸压增产效果的关键。本文介绍了三维多尺度虫孔传播模型，并给出了相应的数值解。同时，引入变异函数模型来描述岩石物性的相关空间分布，使模型的模拟结果更加真实可靠。讨论了数值求解这些数学模型的最优并行算法。计算结果表明，岩心孔隙结构和岩心矿物比例对酸化模拟结果有显著影响。结果表明，虫孔的传播路径在很大程度上取决于孔隙度分布，孔尺度非均质性与突破酸体积呈负相关。另一方面，证实了碳酸盐岩心中矿物溶蚀模式随白云岩与灰岩比例的增加而有规律地变化。3个实例的模拟也表明，将岩心岩石物性的相关空间分布纳入模拟，对于更加准确地计算储层生产和增产酸化效果具有重要意义。
Simulation of wormhole propagation is very critical for predicting stimulation effects of matrix acidizing and acid fracturing in carbonate reservoirs. In this paper, a 3D multi-scale wormhole propagation model is introduced, and the corresponding numerical solution details are described. Meanwhile, a variogram model is introduced to describe the correlation spatial distribution of the rock petrophysical properties, which makes simulation results of the model more realistic and reliable. An optimal parallel algorithm to numerically solve these mathematical models are discussed. Calculation results in this paper have shown that core pore structures and core minerals proportions both do significant effect on acidization simulation results. It is shown that wormholes propagate paths are highly determined by porosity distribution, and the pore-scale heterogeneity has a negative correlation with the acid volume of breakthrough. On the other hand, it is confirmed that mineral dissolution patterns change regularly with the increase of the ratio of dolomite to limestone in carbonate cores. Simulations of 3 cases have also shown that the significance of including the correlation spatial distribution of core petrophysical properties into the simulation in order to achieve a more accurate calculation of acidization effects in production and stimulation of reservoirs.
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