THEORY OF DIFFUSION IN A POROUS-MEDIUM WITH APPLICATIONS TO PULSED-FIELD-GRADIENT NMR

被引:23
作者
BERGMAN, DJ
DUNN, KJ
机构
[1] Chevron Petroleum Technology Company, La Habra, CA 90633
来源
PHYSICAL REVIEW B | 1994年 / 50卷 / 13期
关键词
D O I
10.1103/PhysRevB.50.9153
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A Fourier approach is applied for calculating the pulsed-field-gradient-spin-echo amplitude M(k,t) of a fluid in a porous medium with a periodic microgeometry. The method is most effective for long times t, but works quite well down to times that are short enough so that asymptotic short-time approximations of the diffusion process are still valid. The method can be applied regardless of the value of the porosity or the shape of the periodic pore space. Preliminary results are presented for simple cubic arrays of spherical obstacles in a fluid.
引用
收藏
页码:9153 / 9156
页数:4
相关论文
共 8 条
[1]   BULK EFFECTIVE DIELECTRIC-CONSTANT OF A COMPOSITE WITH A PERIODIC MICROGEOMETRY [J].
BERGMAN, DJ ;
DUNN, KJ .
PHYSICAL REVIEW B, 1992, 45 (23) :13262-13271
[2]   INFLUENCE OF FIELD GRADIENT STRENGTH IN NMR-STUDIES OF DIFFUSION IN POROUS-MEDIA [J].
CALLAGHAN, P ;
MACGOWAN, D ;
PACKER, KJ ;
ZELAYA, FO .
MAGNETIC RESONANCE IMAGING, 1991, 9 (05) :663-671
[3]   DIFFRACTION-LIKE EFFECTS IN NMR DIFFUSION STUDIES OF FLUIDS IN POROUS SOLIDS [J].
CALLAGHAN, PT ;
COY, A ;
MACGOWAN, D ;
PACKER, KJ ;
ZELAYA, FO .
NATURE, 1991, 351 (6326) :467-469
[4]   DIFFUSION IN POROUS SYSTEMS AND THE INFLUENCE OF PORE MORPHOLOGY IN PULSED GRADIENT SPIN-ECHO NUCLEAR-MAGNETIC-RESONANCE STUDIES [J].
CALLAGHAN, PT ;
COY, A ;
HALPIN, TPJ ;
MACGOWAN, D ;
PACKER, KJ ;
ZELAYA, FO .
JOURNAL OF CHEMICAL PHYSICS, 1992, 97 (01) :651-662
[5]   SHORT-TIME BEHAVIOR OF THE DIFFUSION-COEFFICIENT AS A GEOMETRICAL PROBE OF POROUS-MEDIA [J].
MITRA, PP ;
SEN, PN ;
SCHWARTZ, LM .
PHYSICAL REVIEW B, 1993, 47 (14) :8565-8574
[6]   EFFECTS OF MICROGEOMETRY AND SURFACE RELAXATION ON NMR PULSED-FIELD-GRADIENT EXPERIMENTS - SIMPLE PORE GEOMETRIES [J].
MITRA, PP ;
SEN, PN .
PHYSICAL REVIEW B, 1992, 45 (01) :143-156
[7]   DIFFUSION PROPAGATOR AS A PROBE OF THE STRUCTURE OF POROUS-MEDIA [J].
MITRA, PP ;
SEN, PN ;
SCHWARTZ, LM ;
LEDOUSSAL, P .
PHYSICAL REVIEW LETTERS, 1992, 68 (24) :3555-3558
[8]   SURFACE RELAXATION AND THE LONG-TIME DIFFUSION-COEFFICIENT IN POROUS-MEDIA - PERIODIC GEOMETRIES [J].
SEN, PN ;
SCHWARTZ, LM ;
MITRA, PP ;
HALPERIN, BI .
PHYSICAL REVIEW B, 1994, 49 (01) :215-225