地球物理学报
地毬物理學報
지구물이학보
2009年
12期
3166-3174
,共9页
李闽%肖文联%郭肖%张烈辉%郑玲丽
李閩%肖文聯%郭肖%張烈輝%鄭玲麗
리민%초문련%곽초%장렬휘%정령려
有效应力%渗透率%有效应力系数%析因设计%响应面
有效應力%滲透率%有效應力繫數%析因設計%響應麵
유효응력%삼투솔%유효응력계수%석인설계%향응면
Effective pressure%Permeability%Effective-pressure coefficient%Factorial design%Response-surface
为了从实验角度探索低渗砂岩是否存在很小的ESCK值及重新认识低渗砂岩ESCK的变化规律,用两种修正的析因设计方案开展了塔巴庙低渗致密砂岩渗透率有效应力定律实验研究.一种方案包含了3个循环,每个循环是在孔隙流体压力不变,通过加载和卸载罔压完成的;另一种方案包含4个循环,每个循环是在围压不变,通过降低和增加孔隙流体压力完成的.采用稳态法采集每个测点的渗透率值,并选择合适的经验模型拟合实验数据.为了使模型更好地拟合实验数据,本文采用最大似然函数法确定的转换系数转换实验得到的渗透率数据,使拟合得到的经验模型计算的渗透率值与实验值偏差的联合概率密度趋于极大值且残余平方和最小.拟合得到的经验模型可以用渗透率-围压-内压响应面直观地表示,再用Bernabe的ESCK计算式将这一响应面转换成渗透率有效应力系数ESCK-围压-内压响应面.ESCK响应面的响应特征表明,ESCK随围压和孔隙流体压力的变化而变化,随围压的增加而降低,随内压的增加而增加,反之亦然;实验研究还表明,ESCK的变化范围在0.0~1.02之间,这一变化范围和以往实验的结果存在巨大的差异,为此,文中分析了产生这一差异原因,同时提出一新的机理模型解释了实验获取的ESCK的变化规律是低渗岩石中微裂缝和孔隙变形共同作用的结果.
為瞭從實驗角度探索低滲砂巖是否存在很小的ESCK值及重新認識低滲砂巖ESCK的變化規律,用兩種脩正的析因設計方案開展瞭塔巴廟低滲緻密砂巖滲透率有效應力定律實驗研究.一種方案包含瞭3箇循環,每箇循環是在孔隙流體壓力不變,通過加載和卸載罔壓完成的;另一種方案包含4箇循環,每箇循環是在圍壓不變,通過降低和增加孔隙流體壓力完成的.採用穩態法採集每箇測點的滲透率值,併選擇閤適的經驗模型擬閤實驗數據.為瞭使模型更好地擬閤實驗數據,本文採用最大似然函數法確定的轉換繫數轉換實驗得到的滲透率數據,使擬閤得到的經驗模型計算的滲透率值與實驗值偏差的聯閤概率密度趨于極大值且殘餘平方和最小.擬閤得到的經驗模型可以用滲透率-圍壓-內壓響應麵直觀地錶示,再用Bernabe的ESCK計算式將這一響應麵轉換成滲透率有效應力繫數ESCK-圍壓-內壓響應麵.ESCK響應麵的響應特徵錶明,ESCK隨圍壓和孔隙流體壓力的變化而變化,隨圍壓的增加而降低,隨內壓的增加而增加,反之亦然;實驗研究還錶明,ESCK的變化範圍在0.0~1.02之間,這一變化範圍和以往實驗的結果存在巨大的差異,為此,文中分析瞭產生這一差異原因,同時提齣一新的機理模型解釋瞭實驗穫取的ESCK的變化規律是低滲巖石中微裂縫和孔隙變形共同作用的結果.
위료종실험각도탐색저삼사암시부존재흔소적ESCK치급중신인식저삼사암ESCK적변화규률,용량충수정적석인설계방안개전료탑파묘저삼치밀사암삼투솔유효응력정률실험연구.일충방안포함료3개순배,매개순배시재공극류체압력불변,통과가재화사재망압완성적;령일충방안포함4개순배,매개순배시재위압불변,통과강저화증가공극류체압력완성적.채용은태법채집매개측점적삼투솔치,병선택합괄적경험모형의합실험수거.위료사모형경호지의합실험수거,본문채용최대사연함수법학정적전환계수전환실험득도적삼투솔수거,사의합득도적경험모형계산적삼투솔치여실험치편차적연합개솔밀도추우겁대치차잔여평방화최소.의합득도적경험모형가이용삼투솔-위압-내압향응면직관지표시,재용Bernabe적ESCK계산식장저일향응면전환성삼투솔유효응력계수ESCK-위압-내압향응면.ESCK향응면적향응특정표명,ESCK수위압화공극류체압력적변화이변화,수위압적증가이강저,수내압적증가이증가,반지역연;실험연구환표명,ESCK적변화범위재0.0~1.02지간,저일변화범위화이왕실험적결과존재거대적차이,위차,문중분석료산생저일차이원인,동시제출일신적궤리모형해석료실험획취적ESCK적변화규률시저삼암석중미렬봉화공극변형공동작용적결과.
To obtain new knowledge on the effective pressure law for permeability, i. e.,P_(eff)=P_c-κP_p.and to see if there exist very small κ values and its variability, laboratory experiments with two modified factorial designs were performed to determine the effective pressure law for permeability of two samples from Ta-Ba-Miao low permeability sandstone formation. One modified factorial design for one sample included three cycles with different pore pressures. Each cycle was run through loading and unloading confining pressure (P_c) in constant-pore-pressure condition. Another design for the second sample contained four cycles under different confining pressures. Each cycle was run through raising and lowering pore pressure (P_p) in constantconfining-pressure condition. Permeability data were taken with the steady-state method. The response-surface method was used which supposed that nothing was known about the material behavior, and a model was built empirically by matching an approximate k-P_c-P_p surface to the data. The coefficients describing the surface reflected the information about material behavior and were transformed into κ-P_c-P_p response surface. The κ-P_c-P_p surfaces showed that at intervals along the pressure path "local" values of the coefficient κ in the effective pressure law varied with pore and confining pressure and its range is from 0 to 1.02. The values of κ of two samples were significantly less than 1.0 and even approached zero at the high confining pressure and low pore pressure conditions. These experimental observations indicate that the variability of κ is not in agreement with present theories and other published laboratory work. The data suggest that κ values decrease with increasing confining pressure and are small at high confining pressure and low pore pressure. This is interpreted in terms of the changes in the geometry of the micro-cracks during closure and the elastic deformation of the rock particles after the closure of micro-cracks with increasing confining stress in the paper.