רÀûÃû³Æ£ºÒ»ÖÖÓÃÓÚµç×è²ãÎö³ÉÏóϵͳµÄµç¼«ÕóÁд«¸ÐÆ÷µÄÖÆ×÷·½·¨
¼¼ÊõÁìÓò£º
±¾ÊµÓÃÐÂÐÍÉæ¼°Ò»ÖÖ´«¸ÐÆ÷£¬ÌرðÊÇÓÃÓÚµç×è²ãÎö³ÉÏóϵͳµÄÃô¸Ðµç¼«ÕóÁд«¸ÐÆ÷¡£
µç×è²ãÎö³ÉÏó(Electrical Resistance Tomography£¬ÒÔϼò³ÆERT)¼¼Êõ£¬ÊÇÒ»ÖÖËٶȿ졢³É±¾µÍ¡¢ÎÞ·øÉäÎÛȾ¡¢ÎÞÈŶ¯µÄ¹ý³Ì²ãÎö³ÉÏó¼¼Êõ£¬ÊÊÓÃÓÚ¶ÔÁ¬ÐøÏà¾ßÓе¼µçÐԵĶÔÏóµÄ¹Û²â¡£´«¸ÐÆ÷µÄ»ù±¾½á¹¹ÈçͼһËùʾ£¬N¸öµç¼«µÈ¼ä¾à°²×°ÓÚ±»²â¹ÜµÀÖÜΧ£¬µç¼«±íÃæÓë¹ÜµÀÄÚ±»²âýÖʽӴ¥¡£ÏµÍ³¹¤×÷ʱ£¬Ê×ÏÈÔÚÒ»¶ÔÏàÁڵ缫ÉÏÊ©¼Ó¼¤ÀøµçÁ÷£¬ÔÚýÖÊÄÚ²¿½¨Á¢ÆðÃô¸Ð³¡£¬ÐγÉÒ»¶¨µÄµçλ·Ö²¼£¬²âÁ¿ËùÓеķǼ¤Àøµç¼«¹¹³ÉµÄÏàÁڵ缫¶ÔÉϵĵçѹ(Ò»´Î¼¤Àø¿ÉÒÔ²âµÃN-3¸öµçѹ)£»È»ºóÇл»¼¤ÀøµçÁ÷µ½ÏÂÒ»¸öÏàÁڵ缫¶Ô£¬ÓÖ²âµÃN-3¸ö±ß½çµçѹ£»Ö±ÖÁËùÓеÄÏàÁڵ缫¶Ô¶¼¼¤Àø¹ý¡£×îºó¿ÉÒԵõ½N(N-3)¸ö²âÁ¿µçѹ¡£µ±³¡ÓòÄڵ絼ÂÊ·Ö²¼±ä»¯Ê±£¬²âÁ¿µçѹ»áËæÖ®±ä»¯¡£²âÁ¿µçѹµÄ±ä»¯·´Ó³Á˳¡ÓòÄڵ絼Âʵı仯£¬²ÉÓÃÊʵ±µÄͼÏóÖØ½¨Ëã·¨£¬¿ÉÒÔÓɲâÁ¿µçѹ·´Ëã³ö±»²â¶ÔÏóÄڵĵ絼ÂÊ·Ö²¼»ò·´Ó³Á˵絼ÂÊ·Ö²¼µÄ»Ò¶È·Ö²¼¡£ÒòΪ²»Í¬Ã½ÖʾßÓв»Í¬µÄµçµ¼ÂÊ£¬¿ÉÒԵõ½±»²â¶ÔÏóÄÚµÄýÖÊ(Ïà)·Ö²¼Í¼Ï󣬴ӶøÊµÏÖ¿ÉÊÓ»¯²âÁ¿¡£
Ãô¸Ðµç¼«ÕóÁÐÊÇERT»ñÈ¡ÎﳡÐÅÏ¢µÄý½é£¬Èç²Î¿¼ÎÄÏ×1Fraser Dickin andMi Wang,Electrical Resistance Tomographyfor Process Applications,MeasurementSciences and Technology,1996,No.7,pp247-260ÖÐËùÃèÊöµÄ£¬³ý¶Ôµç¼«²ÄÁϵĵ¼µçÐÔ¡¢Ä͸¯Ê´ÐÔ¡¢Ò×¼Ó¹¤ÐÔµÈÓнϸßÒªÇóÍ⣬¶Ôµç¼«µÄ¶¨Î»Ò²ÓÐÑϸñµÄÒªÇó¡£Í¨³£¶ÔÓÚÖ±¾¶Ð¡ÓÚ50cmµÄ±»²â¶ÔÏó(¹ÜµÀ»òÈÝÆ÷)£¬¶¨Î»Îó²îҪСÓÚ¡À0.1£¥£»¶ÔÓÚÖ±¾¶¸ü´óµÄ±»²â¶ÔÏ󣬶¨Î»Îó²îҪСÓÚ¡À0.05£¥¡£Ä¿Ç°µÄERTÃô¸ÐÕóÁлù±¾ÉÏÊDzÉÓÃͼ¶þËùʾµÄÉè¼Æ·½°¸£¬ÔÚ±»²â¶ÔÏóÖÜΧµÈ¼ä¾à´ò¿×ºó£¬½«µç¼«²åÈë°²×°¡£
ÕâÖÖ´«Í³µÄÉè¼Æ·½°¸µÄȱµãÊǢٵ缫µÄ³¤±ßÓë±»²â¶ÔÏóµÄÖáÏߺÜÄÑ´ïµ½²¢±£³ÖÑϸñµÄƽÐйØÏµ¡£¢Úµç¼«Æ¬²»ÄÜÌ«ºñ£¬·ñÔò½«¶Ô±»²âýÖʲúÉú¸ÉÈÅ¡£¢Ûµ±ËùÐèÒªµÄµç¼«ÕóÁеÄȦÊýÔö¼Óʱ£¬ÐèÒªÖØÐ¼ӹ¤´«¸ÐÆ÷£»¶øÈôËùÐèÒªµÄȦÊý¼õÉÙ£¬Ôò´«¸ÐÆ÷ÉÏÁôϵĿױØÐë²ÉÓÃÊʵ±µÄ·½·¨¶Âס£¬ÒÔ·ÀÖ¹´«¸ÐÆ÷ÄÚ²¿µÄýÖÊй©¡£¢Ü´«¸ÐÆ÷Ò»¾¼Ó¹¤ºÃºó£¬³¤¶È²»Äܸı䡣
±¾ÊµÓÃÐÂÐ͵ÄÄ¿µÄÔÚÓÚΪÁËÔںܺõØÂú×ãÎÞÈŶ¯ÐÔÒªÇóµÄ»ù´¡ÉÏ£¬Äܹ»±£Ö¤¶¨Î»µÄ¾«¶È¼°µç¼«ÃæµÄ³¤±ßÓë±»²â¶ÔÏóÖáÏߵį½Ðжȣ¬²¢ÄÜ·½±ãµØ¸Ä±ä´«¸ÐÆ÷Öе缫ÕóÁеÄȦÊý¼°´«¸ÐÆ÷µÄ³¤¶È£¬¶øÇÒ¸üÖ÷ÒªµÄÊÇÒªÒ×ÓÚ¼Ó¹¤¡£´Ó¶øÌṩһÖֽṹÁé»î¡¢ÐÔÄÜÓÅÁ¼µÄÓÃÓÚµç×è²ãÎö³ÉÏñÒǵĵ缫ÕóÁд«¸ÐÆ÷¡£
±¾ÊµÓÃÐÂÐ͵ÄÄ¿µÄÊÇÕâÑùʵÏֵı¾·¢Ã÷ÌṩµÄÓÃÓÚµç×è²ãÎö³ÉÏóϵͳµÄÃô¸Ðµç¼«ÕóÁд«¸ÐÆ÷£¬°üÀ¨´«¸ÐÆ÷Ç»±Ú²ÉÓÃÄáÁú»òÆäËü¾øÔµ²ÄÁϼӹ¤¶ø³É£¬µç¼«²ÉÓÃîѽðÊô¸ù¾Ý±»²â¹ÜµÀµÄÄÚ¾¶¼Ó¹¤³ÉÊʵ±³ß´çµÄ¾ØÐε缫£¬¾ØÐε缫ƬÒÀ´ÎµÈ¼ä¾àÅÅÁÐÔÚ´«¸ÐÆ÷Ç»ÄÚ±ÚÉÏ£¬Æä´«¸ÐÆ÷Ç»Á½¶ËÓ÷¨À¶¹Ì¶¨£»ÆäÌØÕ÷ÔÚÓÚ£¬´«¸ÐÆ÷Ç»ÄÚ±Ú¿ªÓÐÓë¾ØÐε缫Ƭºñ¶ÈÏàͬµÄ²Û£¬¾ØÐε缫ƬǶÈëÆäÄÚ£¬²¢ÔÚ¾ØÐε缫ƬµÄ¼¸ºÎÖÐÐÄÔäÓÐÒ»¸öÖ±¾¶Îª¦Õ1-3mmµÄÔ²²Û£¬È»ºó°ÑÂÝ˨ǶÈë²¢º¸½Óס£¬¹¹³ÉÒ»¸öµç¼«£»ÔÚһȦµç¼«ÕóÁÐÉÏ£¬¶ÔӦÿһ¸öµç¼«µÄλÖþ«È·µØÏ³³öÒ»¸ö¾ØÐβۣ¬µç¼«Æ¬Ç¶Èë²ÛÄÚ°²×°£¬Äܹ»±£Ö¤µç¼«µÄ¶¨Î»¾«¶È¡¢µç¼«Æ¬µÄ³¤±ßÓë´«¸ÐÆ÷ÖáÏߵį½Ðжȡ¢´«¸ÐÆ÷ÄڱڵĹ⻬ÐÔ£¬µç¼«Æ¬²»»á͹³öµ½±»²âýÖÊÖУ»ÕâÖÖÉè¼Æ·½°¸ÄÜÓÐЧµØ±£Ö¤ÂÝ˨Óëµç¼«Æ¬Ö®¼äµÄͬÐĶȼ°º¸½ÓµÄ¼á¹ÌÐÔ¡£´«¸ÐÆ÷¿ÉÒÔ¸ù¾Ý²âÁ¿ÒªÇó×é×°³É´øÓÐһȦµç¼«ÕóÁÐ(¼ûͼ5)¡¢Á½È¦µç¼«ÕóÁÐ(¼ûͼ6)¡¢ÉõÖÁ¶àȦµç¼«ÕóÁеĴ«¸ÐÆ÷£¬Ê¹µÃ¸Ãµç¼«ÕóÁеĴ«¸ÐÆ÷½á¹¹Áé»î£¬²¢ÇÒ±ÈÖ±½ÓÔÚÒ»Õû¶Î¹ÜµÀÉÏϳ³öµç¼«²ÛÈÝÒ×£¬¼´¾ßÓÐÒ×ÓÚ»úе¼Ó¹¤µÄÓŵ㣻µ±×÷³É¶àȦµç¼«ÕóÁеĴ«¸ÐÆ÷ʱ£¬Ö»Ðè¸Ä±ä¹Ü¼þ¶þµÄÖáÏò³¤¶È¾Í¿ÉÒÔµ÷Õûͼ6ÖÐÏàÁÚÁ½È¦µç¼«Ö®¼äµÄÖáÏò¾àÀ룬ʹµÃ¸ù¾Ý²âÁ¿Ã½ÖʵÄÒÆ¶¯ËÙ¶È¡¢Êý¾Ý²É¼¯ÏµÍ³µÄ¹¤×÷Ëٶȼ°Ãô¸Ð³¡ÌØÐԵȶÔÏàÁÚÁ½È¦µç¼«Ö®¼äµÄÖáÏò¾àÀë½øÐÐÓÅ»¯³ÉΪ¿ÉÄÜ£»¹Ü¼þ¶þÓëµç¼«ÕóÁÐÖ®¼ä²ÉÓÃÂÝÎÆÁª½Ó£¬Äܹ»·½±ãµØ½øÐÐ×éºÏ¡¢¸Ä×°£»¹Ü¼þÒ»Óë·¨À¼Ò»¼°¹Ü¼þÒ»Óë·¨À¼¶þÖ®¼ä²ÉÓýôÃÜÅäºÏ²¢ÓýºÕ³ÀΣ¬·¨À¼µÄʹÓÃʹµÃ¸Ã´«¸ÐÆ÷Ò×ÓÚÓë±»²â¹ÜµÀ»òÈÝÆ÷Á¬½Ó£»±¾ÊµÓÃÐÂÐ͵ÄERTµç¼«ÕóÁд«¸ÐÆ÷ͬÆäËüERTÃô¸Ðµç¼«ÕóÁд«¸ÐÆ÷Ïà±È£¬¾ßÌåÈçÏÂÓŵã¢Ùµç¼«²ÉÓÃîѽðÊô£¬±ãÒË¡¢Ä͸¯Ê´¡¢µ¼µçÐԺá¢Ò×¼Ó¹¤£»¢Ú¾ØÐε缫Ƭ¼¸ºÎÖÐÐĵÄÔäµÄÔ²²ÛÓÐЧµØ±£Ö¤ÁËÂÝ˨Óëµç¼«Æ¬Ö®¼äµÄͬÐĶȼ°º¸½ÓµÄ¼á¹ÌÐÔ£»¢Û´«¸ÐÆ÷±Ú²ÉÓÃÄáÁú»òÆäËüµÄÊʵ±µÄ¾øÔµ²ÄÁÏ£¬Ò×ÓÚ¼Ó¹¤£»¢Ü´«¸ÐÆ÷·Ö³É·¨À¼¡¢¹Ü¼þ¡¢µç¼«ÕóÁеȶà¸öÁã¼þ×é×°Ò»Ì壬±ãÓÚ×éºÏ³É´øÓÐһȦ¡¢Á½È¦¡¢ÉõÖÁ¶àȦµç¼«ÕóÁеĴ«¸ÐÆ÷£¬½á¹¹Áé»î£¬Ò×ÓÚ¼Ó¹¤£»¢Ý¸Ä±ä¹Ü¼þ¶þµÄÖáÏò³¤¶È¾Í¿ÉÒÔµ÷ÕûÏàÁÚÁ½È¦µç¼«Ö®¼äµÄÖáÏò¾àÀ룬ÄÜÊÊÓ¦²»Í¬µÄ²âÁ¿ÒªÇ󣻢޵缫ÕóÁÐÓë¹Ü¼þÖ®¼ä²ÉÓÃÂÝÎÆÁª½Ó£¬Äܹ»·½±ãµØ½øÐÐ×éºÏ¡¢¸Ä×°£»¢ß·¨À¼µÄʹÓÃʹµÃ¸Ã´«¸ÐÆ÷Ò×ÓÚÓë±»²â¹ÜµÀ»òÈÝÆ÷µÈÁ¬½Ó£»¢àµç¼«ÕóÁÐÉϵľØÐβÛʹµÃ±¾ÊµÓÃÐÂÐ͵缫ÕóÁд«¸ÐÆ÷ÄÜÂú×ãERT¼¼Êõ¶Ô´«¸ÐÆ÷µÄ¿Á¿ÌÒªÇó¡£
ÒÔϽáºÏ¸½Í¼ºÍʵʩÀý¶Ô±¾ÊµÓÃÐÂÐͽøÐÐÏêϸ˵Ã÷
ͼ1ÊÇERT´«¸ÐÆ÷½á¹¹¼°¹¤×÷ÔÀíʾÒâͼ(a)´«¸ÐÆ÷½ØÃæÍ¼£»(b)´«¸ÐÆ÷Èýάͼͼ2ÊÇ´«Í³µÄµç¼«°²×°Ê¾Òâͼͼ3ÊDZ¾ÊµÓÃÐÂÐ͵ĵ缫°²×°Ê¾Òâͼͼ4ÊDZ¾ÊµÓÃÐÂÐ͵ĵ缫µÄÉè¼ÆÍ¼(a)ÂÝ˨µÄÖáÐÄÓëµç¼«Æ¬¼¸ºÎÖÐÐÄÖØºÏ(²àÊÓͼ)(b)ÂÝ˨ǶÈ뺸½ÓÓڵ缫ƬÖÐÐĵÄÔ²²ÛÄÚ(ÆÊÊÓͼ)ͼ5ÊDZ¾ÊµÓÃÐÂÐ͵ĵ¥È¦µç¼«ÕóÁд«¸ÐÆ÷×°Åäͼͼ6ÊDZ¾ÊµÓÃÐÂÐ͵Ä˫Ȧµç¼«ÕóÁд«¸ÐÆ÷×°Åäͼͼ7ÊDZ¾ÊµÓÃÐÂÐ͵ķ¨À¼µÄÒ»ÖÖʵʩÀý½á¹¹Í¼Í¼8ÊDZ¾ÊµÓÃÐÂÐ͵ĹܼþÒ»µÄÒ»ÖÖʵʩÀý½á¹¹Í¼Í¼9ÊDZ¾ÊµÓÃÐÂÐ͵ĵ缫ÕóÁеÄÒ»ÖÖʵʩÀý½á¹¹Í¼Í¼10ÊDZ¾ÊµÓÃÐÂÐ͵ķ¨À¼¶þµÄÒ»ÖÖʵʩÀý½á¹¹Í¼Í¼11ÊDZ¾ÊµÓÃÐÂÐ͵Ĺܼþ¶þµÄÒ»ÖÖʵʩÀý½á¹¹Í¼Í¼ÃæËµÃ÷ÈçÏÂ1-·¨À¼Ò»£»2-¹Ü¼þÒ»£»3-µç¼«ÕóÁУ»4-·¨À¼¶þ£»5-¹Ü¼þ¶þ£»6-µç¼«Æ¬£»7-ÂÝ˨£»8-´«¸ÐÆ÷Ç»±Ú£»9-µç¼«£»10-ÂÝÎÆ£»11-µç¼«²Û£»12-ÂÝ˨¿×£»ÊµÊ©Àý1°´ÕÕͼ4ÖÆ×÷Ò»¸ö¾ßÓÐһȦµç¼«ÕóÁд«¸ÐÆ÷£¬¼Ó¹¤îѽðÊôµç¼«Æ¬6¹²16¸ö£¬µç¼«Æ¬6ºñ¶ÈdΪ2mm¡¢³¤¶ÈLΪ12mm¡¢¿í¶ÈWΪ5mm£¬µç¼«Æ¬6ÉϵÄÂÝ˨¿×12Éî¶ÈΪ1mm¡¢Ö±¾¶3mm£¬ÂÝ˨7µÄÖ±¾¶Îª3mm¡¢ÂÝÎÆ10³¤¶ÈΪ9mm¡¢×ܳ¤¶ÈΪ20mm£»°´ÕÕͼ7¼Ó¹¤·¨À¼-11¸ö£¬ÖáÏò³¤¶È20mm£»°´ÕÕͼ8¼Ó¹¤¹Ü¼þÒ»2Á½¸ö£¬ÖáÏò³¤¶È49mm£»°´ÕÕͼ9¼Ó¹¤µç¼«ÕóÁÐ3Ò»¸ö£¬ÖáÏò³¤¶ÈΪ45mm£¬ÆäÖе缫²Û11Éî2mm¡¢³¤12mm£¬¿í5mm£»°´ÕÕͼ10¼Ó¹¤·¨À¼¶þ41¸ö£¬ÖáÏò³¤¶ÈΪ20mm¡£³ýµç¼«Æ¬6Í⣬ËùÓÐÁã¼þµÄÄÚ¾¶¾ùΪ50mm¡£È»ºó°´ÕÕͼ5×°Åä³ÉÒ»¸ö´øÓÐһȦ16¸öµç¼«9µÄERT´«¸ÐÆ÷£¬°Ñ16¸öµç¼«µÈ¼ä¾àµÄ°²×°ÔÚ´«¸ÐÆ÷Ç»ÄÚ±Ú8£¬×°Åäºó×ܳ¤¶ÈΪ140mm£¬ÄÚ¾¶Îª50mm£¬¿ÉÒÔÁ¬½Óµ½ÄÚ¾¶Îª50mmµÄ¹ý³Ì¹ÜµÀ»òÆäËüÉ豸ÉÏ¡£¸Ã´«¸ÐÆ÷ÓëERTϵͳµÄÆäËüµ¥ÔªÒ»Æð£¬Ó¦ÓÃÔÚµç×è²ãÎö³ÉÏóÒÇÖУ¬ÄÜÎÞÈŶ¯µØ»ñÈ¡±»²â¶ÔÏó½ØÃæÉϵÄýÖÊ·Ö²¼Çé¿ö£¬Îª¹ý³Ì¼ì²â¼°¹ý³Ì¿ØÖÆÌṩÒÀ¾Ý¡£
ȨÀûÒªÇó1£®Ò»ÖÖÓÃÓÚµç×è²ãÎö³ÉÏóϵͳµÄÃô¸Ðµç¼«ÕóÁд«¸ÐÆ÷£¬°üÀ¨ÓÃÄáÁú»òÆäËü¾øÔµ²ÄÁϼӹ¤¶ø³É´«¸ÐÆ÷Ç»±Ú£¬¾ØÐε缫ƬÒÀ´ÎµÈ¼ä¾àÅÅÁÐÔÚ´«¸ÐÆ÷Ç»ÄÚ±ÚÉÏ£¬ÆäÌØÕ÷ÔÚÓÚËùÊöµÄ¾ØÐε缫ƬÊÇǶÈë´«¸ÐÆ÷Ç»ÄÚ±Ú¿ªÓÐÓë¾ØÐε缫Ƭºñ¶ÈÏàͬµÄ²ÛÄÚ£¬²¢ÔÚ¾ØÐε缫ƬµÄ¼¸ºÎÖÐÐÄÔäÓÐÒ»¸öÖ±¾¶Îª¦Õ1-3mmµÄÔ²²Û£¬È»ºó°ÑÂÝ˨ǶÈë²¢º¸½Óס¹¹³ÉÒ»¸öµç¼«£¬ºÍ¾ØÐε缫ƬÒÀ´ÎµÈ¼ä¾àÅÅÁÐÔÚ´«¸ÐÆ÷Ç»ÄÚ±ÚÉÏһȦµç¼«ÕóÁУ¬»ò¶àȦµç¼«ÕóÁУ¬Æä´«¸ÐÆ÷Ç»µÄÁ½¶ËÓ÷¨À¶¹Ì¶¨£¬»òͨ¹ý·¨À¶ÓëÁíÒ»¹Ü¼þ¹Ì¶¨¡£
רÀûÕªÒª±¾ÊµÓÃÐÂÐÍÉæ¼°Ò»ÖÖÓÃÓÚµç×è²ãÎö³ÉÏóϵͳµÄÃô¸Ðµç¼«ÕóÁд«¸ÐÆ÷¡£Ëü°üÀ¨´«¸ÐÆ÷Ç»£¬¾ØÐε缫ƬÅÅÁÐÔÚ´«¸ÐÆ÷Ç»ÄÚ±ÚÉÏ£¬ÆäÌØÕ÷ÔÚÓÚËùÊöµÄ¾ØÐε缫ƬǶÈë´«¸ÐÆ÷Ç»ÄڱڵIJÛÄÚ£¬²¢ÔÚ¾ØÐε缫ƬÖÐÐÄÔäÓÐÒ»¸öÖ±¾¶Îª¦Õ1¡ª3mmµÄÔ²²Û£¬È»ºó°ÑÂÝ˨ǶÈë²¢º¸½Óס¹¹³ÉÒ»¸öµç¼«£¬ºÍµç¼«ÒÀ´ÎµÈ¼ä¾àÅÅÁÐÔÚ´«¸ÐÆ÷Ç»ÄÚ±ÚÉÏһȦ£¬»ò¶àȦµç¼«ÕóÁУ¬Æä´«¸ÐÆ÷Ç»µÄÁ½¶ËÓ÷¨À¼¹Ì¶¨£¬»òͨ¹ý·¨À¼ÓëÁíÒ»¹Ü¼þ¹Ì¶¨¡£¸Ã´«¸ÐÆ÷Ä͸¯Ê´¡¢µ¼µçÐԺᢽṹ¼òµ¥ºÍÒ×ÓÚ¼Ó¹¤¡£
Îĵµ±àºÅG01N27/04GK2447785SQ0025023
¹«¿ªÈÕ2001Äê9ÔÂ12ÈÕ ÉêÇëÈÕÆÚ2000Äê9ÔÂ12ÈÕ ÓÅÏÈȨÈÕ2000Äê9ÔÂ12ÈÕ
·¢Ã÷ÕßÂíÒÕܰ, Ö£Ö®³õ, ÎâÓ¦Ïæ, Àî¶«êÍ ÉêÇëÈË:Öйú¿ÆÑ§ÔºÁ¦Ñ§Ñо¿Ëù