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首页> 外文会议>SPE Trinidad and Tobago Section Energy Resources Conference >A Comparative Study of Mathematical Models for Fractured Reservoirs: Anomalous Diffusion and Continuum Approach.
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A Comparative Study of Mathematical Models for Fractured Reservoirs: Anomalous Diffusion and Continuum Approach.

机译：裂缝储层数学模型的比较研究：异常扩散与连续性方法。

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This study aims to determine an appropriate representative flow-model of a fractured reservoir after comparing two existing approaches: the anomalous diffusion and the continuum approach.A fractured reservoir is assumed in this paper that drains the fluid in transient condition,to a hydraulically fractured horizontal well.To investigate the comparison,dimensional consistency is maintained for both the anomalous diffusion and the continuum approach.Chen and Raghavan's(2015)model is considered as the anomalous diffusion model with modified boundary conditions.Continuum approach model considers the linear flow in a triple continuum structure that consists of matrix slab,micro-fracture,and hydraulic fracture.An analysis of the pressure response curves and the field data evaluates the proper approach for the analysis of the flow behavior.The solution of the wellbore pressure is derived in Laplace domain and is inverted by the Stehfest algorithm.Slope of the pressure response curve depends on the order of differentiation at the anomalous diffusion model.Conversely,the permeability of the hydraulic fracture controls the transient behavior at the continuum approach.The first set of analyses states that the continuumbased model considers the physical structure of the reservoir and increases the accuracy in the prediction of the reservoir behavior; however,more reservoir parameters are required for new continuum those are difficult to be determined.Alternatively,anomalous diffusion approach requires less parameter compare to the continuum approaches,but a high uncertainty exists in the precise determination of the order of the differentiation or the fractal exponent.The anomalous diffusion shows a good agreement with the synthesized field data at the early time whereas the continuum approach matches better at late time response.This study aims to determine an appropriate representative flow-model of a fractured reservoir after comparing two existing approaches: the anomalous diffusion and the continuum approach.A fractured reservoir is assumed in this paper that drains the fluid in transient condition,to a hydraulically fractured horizontal well.To investigate the comparison,dimensional consistency is maintained for both the anomalous diffusion and the continuum approach.Chen and Raghavan's(2015)model is considered as the anomalous diffusion model with modified boundary conditions.Continuum approach model considers the linear flow in a triple continuum structure that consists of matrix slab,micro-fracture,and hydraulic fracture.An analysis of the pressure response curves and the field data evaluates the proper approach for the analysis of the flow behavior.The solution of the wellbore pressure is derived in Laplace domain and is inverted by the Stehfest algorithm.Slope of the pressure response curve depends on the order of differentiation at the anomalous diffusion model.Conversely,the permeability of the hydraulic fracture controls the transient behavior at the continuum approach.The first set of analyses states that the continuumbased model considers the physical structure of the reservoir and increases the accuracy in the prediction of the reservoir behavior; however,more reservoir parameters are required for new continuum those are difficult to be determined.Alternatively,anomalous diffusion approach requires less parameter compare to the continuum approaches,but a high uncertainty exists in the precise determination of the order of the differentiation or the fractal exponent.The anomalous diffusion shows a good agreement with the synthesized field data at the early time whereas the continuum approach matches better at late time response.
机译：本研究旨在在比较两种现有方法之后确定裂缝储层的适当代表性流量模型：异常扩散和连续岩液。在本文中假设裂缝储层，将流体排放到瞬态条件下，液压破碎的水平嗯。要调查比较，维持尺寸一致性，对异常扩散和连续统称的尺寸一致性。Chen和Raghavan（2015）模型被认为是具有修改边界条件的异常扩散模型。Continuum方法模型认为三重线性流动连续体结构由矩阵板，微骨折和液压骨折组成。压力响应曲线的分析和现场数据评估了流动行为分析的适当方法。井筒压力的溶液衍生在拉普拉斯域中并通过克菲斯特算法反转。压力响应曲线的光盘依赖于o n异常扩散模型的分化顺序。液压骨折的渗透率控制连续素的瞬态行为。第一组分析指出，连续的模型认为水库的物理结构并提高了准确性预测水库行为;然而，对于新的连续体需要更多的储层参数。难以确定的那些。，异常的扩散方法需要与连续统计方法相比的参数较少，但在精确确定分化的顺序或分形指数的精确确定中存在高的不确定性。异常扩散显示了与早期合成的现场数据吻合良好，而连续素方法在延迟时间响应匹配。本研究旨在在比较两种现有方法后确定碎屑储层的适当代表性流量模型：该研究异常的扩散和连续的方法。在本文中假设裂缝储存器，使瞬态条件下的流体排出，以液压破裂的水平井。调查比较，对异常扩散和连续函数保持尺寸一致性.chen和raghavan的（2015）模型被认为是Anomalo具有改进边界条件的美国扩散模型。Continuum方法模型考虑了三重连续体结构中的线性流量，该结构由基质板坯，微骨折和液压骨折组成。压力响应曲线的分析和现场数据评估了正确的方法流动行为的分析。井眼压力的溶液衍生在拉普斯域中，并通过克菲斯特算法反转。压力响应曲线的载波取决于异常扩散模型的分化顺序。交换，渗透性液压骨折控制连续体方法的瞬态行为。第一组分析指出，连续的模型考虑了储层的物理结构，并提高了储层行为预测的准确性;然而，对于新的连续体需要更多的储层参数。难以确定的那些。，异常的扩散方法需要与连续统计方法相比的参数较少，但在精确确定分化的顺序或分形指数的精确确定中存在高的不确定性。异常的扩散与早期的合成现场数据表现出良好的一致性，而连续的方法在迟到的时间响应时更好地匹配。

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