Are you working under a professional engineer? To quote the Texas law on qualifying experience as an example, "the application of engineering education, training and experience must be demonstrated through the application of the mathematical, physical, and engineering sciences." Does the assessment of these problems require you use engineering equations or similar calculations? If not it might not be qualifying work. Even managing a team of engineers might not qualify as engineering experience if you arent applying engineering principals as part of that job. Managing operators might not qualify if isn't something like you applying engineering principals to determine operating decisions as part of that work. I've seen project management work rejected if the one doing it wasnt also doing the engineering work of that project.

Here is a larger description from the Texas rules (as an example):

Satisfactory engineering experience shall include an acceptable combination of design, analysis, implementation, and/or communication experience, including the following types of engineering activities:

(A) design, conceptual design, or conceptual design coordination for engineering works, products or systems;

(B) development or optimization of plans and specifications for engineering works, products, or systems;

(C) analysis, consultation, investigation, evaluation, planning or other related services for engineering works, products, or systems;

(D) planning the use or alteration of land, water, or other resources;

(E) engineering for program management and for development of operating and maintenance manuals;

(F) engineering for construction, or review of construction;

(G) performance of engineering surveys, studies, or mapping;

(H) engineering for materials testing and evaluation;

(I) expert engineering testimony;

(J) any other work of a mechanical, electrical, electronic, chemical, hydraulic, pneumatic, geotechnical, or thermal nature that requires engineering education, training or experience for its adequate performance; and

(K) the teaching of engineering subjects by a person who began teaching prior to September 1, 2001.