Attaching inferiorly to the fibers of the iliolumbar ligament, superiorly to the lowest rib, and medially to the transverse processes of the L1-L4 vertebral bodies, the quadratus lumborum muscle is visible in virtually all MRI studies of the lumbar spine... at least the axial sequences. The QL is also visible in virtually every abdominal/pelvis CT, too.
Since the anterior surface of the muscle forms the front of the thoracolumbar fascia, it remains relatively sequestered from abdominal processes that affect its anterior neighbors: the kidney and psoas muscle.
Incidentally, the QL is the muscle that allows to hold our body horizontally on one elbow (as below).
1. McGill S, Juker D, Kropf P. "Quantitative intramuscular myoelectric activity of quadratus lumborum during a wide variety of tasks" Clinical Biomechanics 11:3, 170-172 (April 2011).
2. Engstrom, C. M., Walker, D., Kippers, V. and Buckley, R. "Quadratus lumborum asymmetry and pars interatricularis injury in cricket fast bowlers: A prospective MRI examination" (2000). Quadratus lumborum asymmetry and pars interatricularis injury in cricket fast bowlers: A prospective MRI examination. In: , 2000 Pre-Olympic Congress Book of Abstracts. International Congress on Sport Science, Sports Medicine and Physical Education, Brisbane, (191-192). 7-12 September 2000.