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基于高階格式的高精度化學驅模擬
朱舟元1,4*,,李明輝2,,雷征東3,,陳掌星1,4
High resolution chemically enhanced oil recovery simulation using higher order differential schemes
ZHU Zhouyuan1,4, LI Minghui2, LEI Zhengdong3, CHEN Zhangxing1,4

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摘要? 油藏數(shù)值模擬的精度取決于網(wǎng)格尺寸,網(wǎng)格越小,,模擬結果的精度越高,結果越趨近于收斂,。大尺寸網(wǎng)格往往伴隨著嚴重的數(shù)值擴散現(xiàn)象,。化學驅作為一種復雜的提高采收率過程,,由于其復雜的機理(如乳液的相態(tài)變化),,往往需要很小尺寸的網(wǎng)格以獲得精確的模擬結果。本文重點探討使用高階格式來改進化學驅模擬的精度,。首先對提高油藏數(shù)值模擬精度的主流方法進行了全面的分析,,包括網(wǎng)格粗化方法、自適應網(wǎng)格加密方法和高階格式方法,??紤]到化學驅模擬的特點,本文選用高階格式方法對化學驅模擬的精度進行改進提升,。隨后測試了一維,、二維和三維礦場尺度的ASP三元復合驅模擬問題,,結果發(fā)現(xiàn)模擬的精度高度依賴于所用的網(wǎng)格尺寸,。為了獲得接近收斂的結果,化學驅所需的網(wǎng)格尺寸遠小于水驅模擬,。一維化學驅中,,網(wǎng)格越粗,表面活性劑分布越“平均化”,,最終采收率越低,。使用二階和三階格式,一維,、二維和三維礦場尺度三元復合驅模型測試的模擬精度均有大幅提升,。使用較粗的網(wǎng)格及高精度格式,即可獲得與細網(wǎng)格類似的精度,。高精度格式為降低數(shù)值黏性,、提高精度、降低模擬所需網(wǎng)格數(shù)和計算時間,,提供了有效的解決辦法,。該方法也有助于大型油田化學驅的快速精確數(shù)值模擬、歷史擬合,、優(yōu)化等技術的順利實施,。
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關鍵詞 : 油藏數(shù)值模擬,;化學驅,;模擬精度;高階格式,;數(shù)值模擬效率
Abstract

The accuracy of reservoir simulation depends on the grid block sizes: the smaller the grid sizes, the higher the
modeling accuracy, and also the closer towards the converged result. Using large sized grid blocks is often associated with severe
numerical diffusion. Chemical flood is a complex Enhanced Oil Recovery (EOR) process. Due to its complex mechanisms (the
emulsion phase behavior as an example), chemical EOR often requires very small grid blocks to achieve accurate simulation
results. In this work, we explore the possibility of using higher order numerical schemes to improve the accuracy of chemical
EOR simulations. First, we conduct a comprehensive review of the three major methods for improving the reservoir simulation
accuracy, including the upscaling method, adaptive mesh refinement and the use of higher order schemes. Considering the
particular problem of chemical flooding, we choose the use of a higher order scheme as our approach to solve this accuracy
improvement problem. Furthermore, we tested the one-dimensional and two-dimensional Alkaline Surfactant Polymer (ASP)
flood simulation problems. We found the simulation accuracy highly dependent on the grid block sizes used. In order to obtain
close to convergent results, chemical EOR requires much smaller grid blocks than normal water flood simulations. In one-dimensional
chemical EOR modeling, the larger the grids, the more artificial averaging we observe for key physical properties such as
surfactant concentrations, which ultimately lead to less recovery. Finally, by using second and third order numerical schemes,
we have found great enhancement in modeling accuracy when simulating one-dimensional and two-dimensional ASP flooding.
Using a coarse grid and higher order schemes may get the similar level of accuracy as fine grid simulation. Higher order schemes
serve as powerful solution to reducing numerical viscosity, increasing accuracy, reducing the required number of grid blocks and computational time. This method shall also assist the implementation of fast and accurate field scale chemical EOR simulations,
history matching, and optimizations.

Key words: reservoir simulation; chemical flooding; simulation accuracy; higher order differential scheme; numerical simulation efficiency
收稿日期: 2018-06-29 ????
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