By physical I basically mean tangible. The human soul is spread throughout the human body, in my view, and sufficiently tangible to impact it, but:
(1) God usually keeps it hidden from instruments of detection such as natural sight. Presumably this would preclude our ability to spray-paint it into visibiity.
(2) Unlike the natural body, the soul isn't a manufacturer of blood - no more so than an angelic soul. To claim that the soul bleeds is just as unlikely as claiming that an angel bleeds. Human blood can be replaced without altering your identity. Your soul IS your identity, and therefore God won't likely allow some of it to bleed away from the rest of you.
Here's what you need to know. For both exegetical and empirical reasons, the soul is almost certainly physical. All the data points utterly in that direction, when stacked up against the theory that the soul is immaterial. Let's start with the empirical data. Basically, I'm going to paraphrase Tertullian's argument that body and soul, in order to interact, must both be tangible. Indeed, thought is a physical, electrochemical process in the brain. That's a fact of both science and daily experience. That alone is enough to conclude a tangible soul. But let's look at some specifics.
Part I. The body impacts the mind.
Tangible impact is the ONLY way for me to influence your mind.
(1) For example suppose I want you to know what I'm thinking. How do I get my thoughts into your mind? Simple. I blow air at you - I speak to you. Suddenly YOU begin thinking on the same topics that I myself was thinking. If the mind were intangible, I would be unable to tangibly impact your mind.
(2) Suppose I want your mind to fail a math test. How do I accomplish that? Simple. I merely spike your food with alcohol or drugs, thereby tangibly impacting your mind.
(3) Suppose I want to reduce your cognition to a vegetative state. How to do it? Simple. I merely strike your brain with sufficient force to impart brain damage.
(4) As a toddler, your mind probably didn't squander much time dwelling on the opposite sex. Then at the age of puberty hormones kicked in, making a tangible impact on your mind. Suddenly it became difficult for you to STOP thinking about the opposite of sex. The proportions and distributions of your thought-content radically changed.
(5) A huge percentage of your thought-content consists of information physically imparted to your mind via all the five senses. This is a tangible process.
None of this makes ANY SENSE on the assumption of an intangible mind. That assertion appears to be incredibly stupid, incredibly self-contradictory, in light of the data. Before moving on to Part II, let me clarify the FUNCTION of the human body, with respect to the mind. After all, given that thought-currents self-propel by free will, why do we need the unconscious body? Technically we don't NEED it (angels certainly don't have one) but it serves a cognitive PURPOSE delightful to God. How so? The brain organizes the mind's thought-currents, helping to channel and route them in ways somewhat conducive to sight, sound, taste, touch, smell, sexuality, marriage, education, emotional balance, conscience, and so on. God takes pride in His creation! As He should!